CA Foundation Exam  >  CA Foundation Notes  >  ICAI Notes: Unit 3- Price Output Determination Under Different Market

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation PDF Download

Learning Objectives 

 understand how price and quantity demanded and supplied are determined in perfect competition, monopoly, oligopoly and monopolistic competition.
 understand the conditions required to make price discrimination by monopolist successful.
 understand how firms in an oligopolist market are independent.

In this unit, we shall study the determination of price and output under perfect competition, monopoly, monopolistic competition and oligopoly. Output is supplied by individual firms on the basis of market demand, their cost and revenue functions. However, the existence of different forms of market structure leads to differences in demand and revenue functions of the firms. Therefore, supplies offered at different prices by the firm would vary significantly depending upon the market forms. We start our analysis with perfect competition.

3.0 PERFECT COMPETITION

3.0.0 Features

Suppose you go to a vegetable market and enquire about the price of potatoes from a shopkeeper. He says potatoes are for Rs. 5 per kg. In the same way, you enquire from many shopkeepers and you get the same answer. What do you notice? You notice the following facts :

(i) There are large number of buyers and sellers in the potatoes market.

(ii) All the shopkeepers are selling potatoes for Rs. 5.

(iii) Product homogeneity i.e. all the sellers are selling almost same quality of potatoes in the sense that you cannot judge by seeing the potatoes from which farmer’s field do they come from.

Such type of market is known as perfectly competitive market. In general it has the following characteristics :

(i) There are a large number of buyers and sellers who compete among themselves and their number is so large that no buyer or seller is in a position to influence the demand or supply in the market.

(ii) The commodity dealt in it is homogeneous in the sense that the goods produced by different firms are identical in nature.

(iii) Every firm is free to enter the market or to go out of it. If the above three conditions alone are fulfilled, then it is called pure competition. The essential feature of the pure competition is the absence of monopolistic element. The number of producers is large, the commodity is the same and everyone has the liberty to enter the industry. So, monopolistic combinations are not possible. In addition to the above stated three features of pure competition, some more conditions are attached to the perfect competition. They are: 

(iv) There is a perfect knowledge, on the part of buyers and sellers, of the quantities of stock of goods in the market, market conditions and the prices at which transactions of purchase and sale are being entered into.

(v) Facilities exist for the movement of goods from one centre to another. Also buyers have no preference as between different sellers and as between different units of commodity offered for sale; also sellers are quite indifferent as to whom they sell.

(vi) The commodity or the goods are dealt on at a uniform price throughout the market at a given point of time. In other words, all firms individually are price takers, they have to accept the price determined by the market forces to total demand and total supply. The last mentioned is a consequence of the conditions prevailing in a market operating under conditions of perfect competition, for when there is perfect knowledge and perfect mobility, if any seller tries to raise his price above that charged by others, he would lose his customers. While there are few examples of perfect competition, which is regarded as a myth by many, the grain or stock markets approach the condition of perfect competition.

3.0.1 Price determination under perfect competition

Equilibrium of the Industry : An industry in economic terminology consists of a large number of independent firms, each having a number of factories, farms or mines under its control. Each such unit in the industry produces a homogeneous product so that there is competition amongst goods produced by different units called firms. When the total output of the industry is equal to the total demand we say that the industry is in equilibrium; the price then prevailing is equilibrium price, whereas a firm is said to be in equilibrium when it has no incentive to expand or contract production.

As stated above under competitive conditions, the equilibrium price for a given product is determined by the interaction of forces of demand and supply for it as is shown in figure 7.  

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig.7 : Equilibrium of a competitive industry

In Fig. 7, OP is the equilibrium price and OQ is the equilibrium quantity which will be sold at that price. The equilibrium price is the price at which both the demand and supply are equal at which no buyer goes dissatisfied who wanted to buy at that price and none of the sellers is dissatisfied that he could not sell his goods at that price. It will be noticed that if price were to be fixed at any other level, higher or lower, demand remaining the same, there would not be an equilibrium in the market. Likewise, if the quantities of goods were greater or smaller than the demand, there would not be an equilibrium.

Equilibrium of the Firm : The firm is said to be in equilibrium when it maximizes its profit. The output which gives maximum profit to the firm is called equilibrium output. In the equilibrium state, the firm has no incentive either to increase or decrease its output. Since it is the maximum profit giving output which only gives no incentive to the firm to increase or decrease it, so it is in equilibrium when it gets maximum profit.

Firms in a competitive market are price-takers. This is because there are a large number of firms in the market who are producing identical or homogeneous products. As such these firms cannot influence the price in their individual capacities. They have to accept the price fixed (through interaction of total demand and total supply) by the industry as a whole.

See the following figure : 

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig.8 : The firm’s demand curve under perfect competition

Industry price OP is fixed through the interaction of total demand and total supply of the industry. Firms have to accept this price as given and as such they are price-takers rather than price-makers. They cannot increase the price OP individually because of the fear of losing customers to other firms. They do not try to sell the product below OP because they do not have any incentive for lowering it. They will try to sell as much as they can at price OP.

As such P-line acts as a demand curve for them. Thus the demand curve facing an individual firm in a perfectly competitive market is horizontal one at the level of market price set by the industry and firms have to choose that level of output which yields maximum profit. Let us continue our example on page 126 in which demand and supply schedules for the industry were as follows : 

Table – 3 : Equilibrium price for industry

Price (Rs.)Demand (units)Supply (units)
1605
23535
32045
41555
51065


Equilibrium price for the industry thus fixed through the interaction of the demand and supply is Rs. 2 per unit. The individual firms will accept Rs. 2 per unit as the price and sell different quantities at this price. Let us consider the case of firm ‘X’. Firm X’s quantity sold, total revenue, average revenue and marginal revenue are given in Table 4 :

Table – 4 : Trends of Revenue for the Firm

Price

(Rs.)

Quantity

Sold

Total

Revenue

Average

Revenue

Marginal

Revenue

281622
2102022
2122422
2142822
2163222


Firm X’s price, average revenue and marginal revenue are equal to Rs. 2. Thus we see that in a perfectly competitive market a firm’s AR = MR = price.

Conditions for equilibrium of a firm : As discussed earlier, a firm in order to attain the equilibrium position has to satisfy two conditions :

(i) The marginal revenue should be equal to the marginal cost. i.e. MR = MC. If MR is greater than MC, there is always an incentive for the firm to expand its production further and gain by sale of additional units. If MR is less than MC, the firm will have to reduce output since an additional unit adds more to cost than to revenue. Profits are maximum only at the point where MR = MC.

(ii) The MC curve should cut MR curve from below. In other words, MC should have positive slope.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 9 : Equilibrium position for a firm under perfect competition

In figure 9, DD and SS are the industry demand and supply curves which equilibrate at E to set the market price as OP. The firms of perfectly competitive industry adopt OP price as given and considers P-Line as demand (average revenue) curve which is perfectly elastic at P. As all the units are priced at the same level, MR is a horizontal line equal to AR line. Note that MC curve cuts MR curve at two places T and R respectively. But at T, the MC curve is cutting MR curve from above. T is not the point of equilibrium as the second condition is not satisfied. The firm will benefit if it goes beyond T as the additional cost of producing additional unit is falling. At R, the MC curve is cutting MR curve from below. Hence R is the point of equilibrium and OQ2 is equilibrium level of output.

3.0.2 Supply curve of the firm in a competitive market : One interesting thing about the MC curve of the firm in a perfectly competitive industry is that it depicts the firm’s supply curve. This can be shown with the help of the following example. 

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation       ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 10 : Marginal cost and supply curves for a price-taking firm

Suppose market price of a product is Rs. 2 corresponding to it we have D1 as demand curve for the firm. At price Rs. 2, the firm supplies Q1 output because here MR=MC. If the market price is Rs. 3, the corresponding demand curve is D2. At Rs. 3, the quantity supplied is Q2. Similarly, we have demand curves at D3 and D4 and corresponding supplies are Q3 and Q4. The firm’s marginal cost curve which gives the marginal cost corresponding to each level of output is nothing but firm’s supply curve that gives the quantity the firm will supply at each price.

For prices below AVC, the firm will supply zero units because here the firm is unable to meet even its variable cost for prices above AVC the firm will equate price and marginal cost.

When price is just meeting the AVC, the firm will break-even (Rs. 2 here). Here it is just meeting its average variable costs and there are no profits or losses. Thus in perfect competition the firm’s marginal cost curve above AVC has the identical shape of the firm’s supply curve.

3.0.3 Can the the competitive firm earn profits? In the short run, a firm will attain equilibrium position and at the same time it will earn supernormal profits, normal profits or losses depending upon its cost conditions.

Supernormal Profits : There is a difference between normal profits and supernormal profits. When the average revenue of a firm is just equal to its average total cost, it earns normal profits. It is to be noted that here a normal percentage of profits for the entrepreneur for his managerial services is already included in the cost of production. When a firm earns supernormal profits its average revenues are more than its average total cost. Thus, in additional to normal rate of profit, the firm earns additional profits. The following example will make the above concepts clear : Suppose the cost of producing 1,000 units of a product by a firm is Rs. 15,000. The entrepreneur has invested Rs. 50,000 in the business and normal rate of return in the market is 10 per cent. Thus the entrepreneur must earn at least Rs.5,000 (10% of 50,000) in this particular business. This Rs. 5,000 will be shown as a part of cost. Thus total cost of production is Rs. 20,000 (Rs. 15,000 + 5,000). If the firm is selling the product at Rs.20, it is earning normal profits because AR (Rs. 20) is equal to ATC (Rs. 20). If the firm is selling the product at Rs. 22 per unit, its AR (Rs. 22) is greater than its ATC (Rs. 20) and it is earning supernormal profit at the rate of Rs. 2 per unit.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 11 : Short run equilibrium : Supernormal profit of a competitive firm

The Figure 11 shows how a firm can earn supernormal profit in the short run.

The diagram shows that in order to attain equilibrium, the firm tries to equate marginal revenue with marginal cost. MR (marginal revenue) curve is a horizontal line and MC (marginal cost) curve is a U-shaped curve which cuts the MR curve at E. At E, MR = MC. OQ is the equilibrium output for the firm. The firm’s profit per unit is EB (AR-ATC), AR is EQ and ATC is BQ. Total profits are ABEP.

Normal profits : When the firm just meets its average total cost, it earns normal profits. Here AR = ATC.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 12 : Short run equilibrium of a competitive firm : Normal profits

The figure shows that MR = MC at E. The equilibrium output is OQ. Since here AR = ATC or OP = EQ, the firm is just earning normal profits.

Losses : The firm can be in an equilibrium position and still makes losses. This is the position when the firm is minimising losses. When the firm is able to meet its variable cost and a part of fixed cost it will try to continue production in the short run. If it recovers a part of the fixed costs, it will be beneficial for it to continue production because fixed costs (such as costs towards plant and machinery, building etc.) are already incurred and in such a case it will be able to recover a part of them. But if a firm is unable to meet its average variable cost also, it will be better for it to shut down.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 13 : Short run equilibrium of a competitive firm : Losses

In figure 13, E is the equilibrium point and at this point AR = EQ and AC = BQ since BQ > EQ, firm is earning BE per unit loss and total loss is ABEP.

3.0.4 Long Run Equilibrium of the Firm : In the long run firms are in equilibrium when they have adjusted their plant so as to produce at the minimum point of their long run AC curve, which is tangent to the demand curve defined by the market price. In the long run the firms will be earning just normal profits, which are included in the AC. If they are making supernormal profits in the short run, new firms will be attracted in the industry; this will lead to a fall in price (a down ward shift in the individual demand curves) and an upward shift of the cost curves due to the increase of the prices of factors as the industry expands. These changes will continue until the AC is tangent to the demand curve. If the firms make losses in the short run they will leave the industry in the long run. This will raise the price and costs may fall as the industry contracts, until the remaining firms in the industry cover their total costs inclusive of the normal rate of profit.

In Fig. 14, we show how firms adjust to their long run equilibrium position. If the price is OP, the firm is making super-normal profits working with the plant whose cost is denoted by SAC1. It will, therefore, have an incentive to build new capacity and it will move along its LAC. At the same time new firms will be entering the industry attracted by the excess profits. As the quantity supplied in the market increases, the supply curve in the market will shift to the right and price will fall until it reaches the level of OP1 (in figure 14a) at which the firms and the industry are in long run equilibrium.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 14 : Long run equilibrium of the firm in a perfectly competitive market

The condition for the long run equilibrium of the firm is that the marginal cost be equal to the price and the long run average cost i.e. LMC = LAC = P

The firm adjusts its plant size so as to produce that level of output at which the LAC is the minimum possible. At equilibrium the short run marginal cost is equal to the long run marginal cost and the short run average cost is equal to the long run average cost. Thus in the long run we have, SMC = LMC = SAC = LAC = P = MR

This implies that at the minimum point of the LAC the corresponding (short run) plant is worked at its optimal capacity, so that the minima of the LAC and SAC coincide. On the other hand, the LMC cuts the LAC at its minimum point and the SMC cuts the SAC at its minimum point. Thus at the minimum point of the LAC the above equality is achieved.

3.0.5 Long run equilibrium of the industry : When (i) all the firms are earning normal profits only i.e. all the firms are in equilibrium (ii) there is no further entry or exit from the market, the industry is said to have attained long run equilibrium.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 15 : Long run equilibrium of a competitive industry and its firms

Figure 15 shows that in the long-run AR = MR = LAC = LMC at E1. Since E1 is the minimum point of LAC curve, the firm produces equilibrium output OM at the minimum (optimum) cost. The firm producing output at optimum cost is called an optimum firm. All the firms in the perfect competition in long run are optimum firms having optimum size and these firms charge minimum possible price which just covers their marginal cost.

Thus in the long run, in perfect competition, the market mechanism heads to an optimal allocation of resources. The optimality is shown by the following conditions which in the long run equilibrium of the industry :

a. The output is produced at the minimum feasible cost.

b. Consumers pay the minimum possible price which just covers the marginal cost i.e. MC = AR.

c. Plants are used at full capacity in the long run, so that there is no wastage of resources i.e. MC = AC.

d. Firms earn only normal profits i.e. AC = AR.

e. Firms maximize profits (i.e. MC = MR) but the level of profits will be just normal.

In other words, in the long run, LAR = LMR = P = LMC = LAC and there will be optimum allocation of resources.

But it should be remembered that the perfectly competitive market system is a myth. This is because the assumptions on which this system is based are never found in the real world market conditions.

3.1 MONOPOLY

The word ‘Monopoly’ means “alone to sell”. Thus monopoly is a situation in which there is a single seller of a product which has no close substitute. Pure monopoly is never found in practice. However, in public utilities such as transport, water and electricity, we generally find monopoly form of market.

3.1.0 Features of Monopoly Market : The following are the major features of the monopoly market :

(1) Single seller of the product : In a monopoly market there is only one firm producing or supplying a product. This single firm constitutes the industry and as such there is no distinction between the firm and the industry in a monopolistic market.

(2) Restrictions to Entry : In a monopolistic market, there are strong barriers to entry. The barriers to entry could be economic, institutional, legal or artificial.

(3) No close-substitutes : The monopolist generally sells a product which has no close substitutes. In such a case, the cross elasticity of demand for the monopolist’s product and any other product is zero or very small. The price elasticity of demand for monopolist’s product is also less than one. As a result, the monopolist faces a downward sloping demand curve.

While to some extent all goods are substitutes for one other, there may be essential characteristics in a good or group of goods which give rise to gaps in the chain of substitution. If one producer can so exclude competition that he controls the supply of a good, he can be said to be ‘monopolist’ – a single seller. The monopolist may use his monopolistic power in any manner in order to realize maximum revenue. He may also adopt price discrimination. In real life, there is seldom complete monopoly. But one producer may dominate the supply of a good or group of goods. In public utilities, e.g. transport, water, electricity generation etc. monopolistic markets may exist so as to reap the benefit of large scale production.

3.1.1 Monopolist’s Revenue Curves : Since the monopolist firm is assumed to be the only producer of a particular product, its demand curve is identical with the market demand curve for the product. The market demand curve, which exhibits the total quantity of a product that buyers will offer to buy at each price, also shows the quantity that the monopolist will be able to sell at every price that he sets. If we assume that the monopolist sets a single price and supplies all buyers who wish to purchase at that price, we can easily find his average revenue and marginal revenue curves.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 16 : A monopolist’s demand curve and marginal revenue curve

Suppose the straight line in Fig. 16 is the market demand curve for a particular product ‘A’. Suppose Mr. X and Co. is the single producer of the product A so that it faces the entire market demand and hence the downward sloping demand curve.

We have tabulated selected values of price and quantity from this demand curve in Table 5 and computed the amounts of average, total and marginal revenue corresponding to these levels.

Quantity

sold

Average Revenue

(AR = P)

Total Revenue

(TR)

Marginal Revenue

(MR)

010.000 
19.509.509.50
29.0018.008.50
38.5025.507.50
48.0032.006.50
57.5037.505.50
67.0042.004.50
76.5042.503.50
86.0048.002.50
95.5049.501.50
105.0050.00.50
114.5049.50

(-)

.50


If the seller wishes to charge Rs. 10, he cannot sell any unit, alternatively, if he wishes to sell 10 units, his price cannot be higher than Rs. 5. Because the seller charges a single price for all units he sells, average revenue per unit is identical with price, and thus the market demand curve is the average revenue for the monopolist.

In perfect competition, average and marginal revenue are identical, but this is not the case in a monopoly since the monopolist knows that if he wishes to increase his sales he will have to reduce the price of the product. Consider the example given. If the seller wishes to sell 3 units, he will have to reduce the price from Rs. 9 to Rs. 8.50. The third unit is sold for Rs. 8.50 only - the price of all 3 units. This adds Rs. 8.50 to the firm’s revenue. But in order to sell the 3rd unit, the firm had to lower its price from Rs. 9 to Rs. 8.50. It thus receives Re.50 less on each of 2 units it could have sold for Rs. 9. The marginal revenue over the interval from 2 to 3 units is thus Rs. 7.50 only. Again if he wishes to sell 4 units, he will again reduce the price from Rs. 8.50 to 8. The marginal revenue here will be Rs. 6.50 only. Marginal revenue is less than the price, because the firm had to lower the price in order to sell an extra unit. The relationship between AR and MR of a monopoly firm can be stated as follows :

(i) AR and MR are both negative sloped (downward sloping) curves.

(ii) MR curve lies half-way between the AR curve and the Y axis. i.e. it cuts the horizontal line between Y axis and AR into two equal parts.

(iii) AR cannot be zero, but MR can be zero or even negative.

3.1.2 Profit maximisation in a monopolised market Equilibrium of the monopoly firm : Firms in a perfectly competitive market are price-takers so that they are only concerned about determination of output. But this is not the case with a monopolist. A monopolist has to determine not only output but also price for his product. Since, he faces a downward sloping demand curve, if he raises price of his product his sales will go down. On the other hand, if he wants to improve his sales volume he will have to be content with lesser price. He will try to reach that level of output at which profits are maximum i.e. he will try to attain the equilibrium level of output. How he attains this level can be found out as is shown below.

Short run Equilibrium

Conditions for the equilibrium : The twin conditions for equilibrium in a monopoly market are same as discussed earlier. (i) MC = MR (ii) MC curve must cut MR curve from below. Graphically, we can depict these conditions in figure 17.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 17 : Equilibrium position of a monopolist (Short run)

The figure shows that MC curve cuts MR curve at E. That means at E, equilibrium price is OP and equilibrium output is OQ.

In order to know whether the monopolist is making profits or losses in the short run, we need to introduce average total cost curve. The following figure shows how the firm makes profits in the short run.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 18 : Firm’s equilibrium under monopoly : maximisation of profits

Figure 18 shows that MC cuts MR at E to give equilibrium output as OQ. At OQ, price charged is OP (we find this by extending line EQ till it touches AR or demand curve). Also at OQ, the cost per unit is BQ. Therefore, profit per unit is AB or total profit is ABCP.

Can a monopolist incur losses? One of the misconceptions about a monopolist is that he always makes profits. It is to be noted that nothing guarantees that a monopolist makes profits. It all depends upon his demand and cost conditions. If he faces a very low demand for his product and his cost conditions are such that ATC  > AR, he will not be making profits but incur losses. Figure 19 depicts this position.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 19 : Equilibrium of the monopolist : Losses in the short run

In the above figure MC cuts MR at E. Here E is the point of loss minimisation. At E, equilibrium output is OQ and equilibrium price is OP. Cost corresponding to OQ is QA. Cost per unit of output i.e. QA is greater than revenue per unit which is BQ. Thus the monopolist incurs losses to the extent of AB per unit or total loss is ABPC. Whether the monopolist stays in business in the short run depends upon whether he meets his average variable cost or not. If he covers average variable cost and at least a part of fixed cost, he will not shut down because he contributes something towards fixed costs which are already incurred. If he is unable to meet his average variable cost even, he will shut down.

Long Run Equilibrium : Long run is a period long enough to allow the monopolist to adjust his plant size or use his existing plant at any level that maximizes his profit. In the absence of competition, the monopolist need not produce at the optimal level. He can produce at suboptimal scale also. In other words, he need not reach the minimum of LAC curve, he can stop at any place where his profits are maximum.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 20 : Long run equilibrium of a monopolist

However, one thing is certain : The monopolist will not continue if he makes losses in the long run. He will continue to make super normal profits even in the long run as entry of outside firms is blocked.

3.1.3 Price Discrimination : Consider the following examples. The family doctor in your neighbourhood charges a higher fees from a rich patient compared to the fees charged from a poor patient even though both are suffering from viral fever. Why?

Electricity companies sell electricity at a cheaper rate for home consumption in rural areas than for industrial use. Why?

The above cases are examples of price discrimination. What is price discrimination? Price discrimination occurs when a producer sells a specific commodity or service to different buyers at two or more different prices for reasons not associated with differences in cost.

Price discrimination is a method of pricing adopted by the monopolist in order to earn abnormal profit. It refers to the practices of charging different prices for the different unit of the same commodity.

Further examples :

(a) Railways separate high-value or relatively small-bulk commodities which can bear higher freight charges from other categories of goods.

(b) Some countries dump goods at low prices in foreign markets to capture them.

(c) Some universities charge higher tuition fees from evening class students than from other scholars.

(d) A lower subscription is charged from student readers in case of certain journals.

(e) A higher price for vegetables may be charged in posh localities inhabited by the rich than in other localities.

Price discrimination cannot persist under perfect competition because the seller has no influence over market determined rate. Price discrimination requires an element of monopoly so that the seller can influence the price of his product.

Conditions for price discrimination : Price discrimination is possible only under the following conditions :

(i) The seller should have some control over the supply of his product i.e. monopoly power in some form is necessary (not sufficient) to discriminate price.

(ii) The seller should be able to divide his market into two or more sub-markets.

(iii) The price-elasticity of the product should be different in different markets. The monopolist fixes up a high price for his product for those buyers whose price elasticity of demand for the product is less than one. This implies that when the monopolist charges a higher price from them, they do not significantly reduce their purchases in response to high price.

(iv) It should not be possible for the buyers of low-priced market to resell the product to the buyers of high-priced market.

Thus we note that discriminating monopolist charges a higher price from the market which has a relatively inelastic demand. The market which is highly responsive is charged less. On the whole, the monopolist benefits from both the markets.

A numerical example will help you to understand price- discrimination more clearly. Suppose the single monopoly price is Rs. 30 and elasticities of demand in markets A and B are respectively 2 and 5. Then,

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

It is thus clear that marginal revenues in the two markets are different when elasticities of demand at the single price are different. Further, we see that marginal revenue in the market in which elasticity is high is greater than the marginal revenue in the market where elasticity is low. Now it is profitable for the monopolist to transfer some amount of the product from market A where elasticity is less and therefore marginal revenue is low to market B where elasticity is high and marginal revenue is large. Thus, when the monopolist transfers one unit from A to B, the loss in revenue (Rs. 15) will be more than compensated by gain in revenue (Rs. 24). On the whole, the gain in revenue will be Rs. 9 (24-15) here. It is to be noted that when some units are transferred from A to B, price in market A will rise and it will fall in B. This means that the monopolist is now discriminating between markets A and B. Again it is to be noted that there is a limit to which units can be transferred from A to B. Once this limit is reached and once a point is reached when the marginal revenues in the two markets become equal as a result of some transfer of output, it will no longer be profitable to shift more output from market A to market B. When this point of a equality is reached, the monopolist will be charging different prices in the two markets – a higher price in market A with lower elasticity of demand and a lower price in market B with higher elasticity of demand.

Objectives of Price discrimination:

a. to earn maximum profit

b. to dispose of surplus stock

c. to enjoy the economies of scale

d. to capture foreign markets

e. to secure equity through pricing.

Price discrimination may take place beacause of personal, local, income, size of the purchase, time of purchase and age of the consumers reasons.

Price discrimination may be related to the consumer surplus enjoyed by the consumers. Prof. Pigou classified three degrees of price discrimination. Under the first degree price discrimination the monopolist will fix a price which will take away the entire consumer’s surplus. Under the second degree price discrimination he will take away only a part of the consumers’ surplus. Here price varies according to the quantity sold. Larger quantities are available at lower unit price. Under third degree price discrimination, price varies by attributes such as location or by customer segment. Here the monopolist will divide the consumers into separate sub markets and charge different prices in different sub-markets. E.g. Dumping.

Equilibrium under price discrimination:

Under simple monopoly, a single price is charged for the whole output; but under price discrimination the monopolist will charge different prices in different sub-markets. First of all, therefore, the monopolist has to divide his total market into various sub-markets on the basis of difference in elasticity of demand in them. For the sake of making our analysis simple we shall explain the case when the total market is divided into two sub-markets.

In order to reach the equilibrium position, the discriminating monopolist has to take two decisions:
1. how much total output should he produce; and
2. how the total output should be distributed between the two sub-markets and what prices he should charge in the two submarkets.

The same marginal principle will guide his decision to produce a total output as that which guides a perfect competitor or a simple monopolist. In other words, the discriminating monopolist will compare the marginal revenue with the marginal cost of the output. But he has to find out first the aggregate marginal revenue of the two sub-markets taken together and compare this aggregate marginal revenue with marginal cost of the total output. Aggregate marginal revenue curve is obtained by summing up laterally the marginal revenue curves of the sub-markets.

In figure 21, MRa is the marginal revenue curve in sub-market A corresponding to the demand curve Da. Similarly, MRb is the marginal revenue in sub-market B corresponding to the demand curve Db. Now, the aggregate marginal revenue curve AMR, which has been shown in figure (iii), has been derived by adding up laterally MRa and MRb. This aggregate marginal revenue curve depicts the total amount of output that would be sold in the two sub-markets taken together corresponding to each value of the marginal revenue. Marginal cost curve of the monopolist is shown by the curve MC in diagram (iii).

The discriminating monopolist will maximize his profits by producing the level of output at which marginal cost curve MC intersects the aggregate marginal revenue curve AMR. It is manifest from diagram (iii) that profit maximizing output is OM, for only at OM aggregate marginal revenue is equal to the marginal cost of the whole output. Thus the discriminating monopolist will decide to produce OM level of output.

Once the total output to be produced has been determined, the next task for the discriminating monopolist is to distribute the total output between the two sub-markets. He will distribute the total output OM in such a way that marginal revenues in the two sub-markets are equal. Marginal revenues in the two-sub-markets must be equal if the profits are to be maximized. If he is so allocating the output into two markets that the marginal revenues in the two are not equal, then it will pay him to transfer some amount from the sub-market in which the marginal revenue is less to the sub-market in which the marginal revenue is greater. Only when the marginal revenues in the two markets are equal, it will be unprofitable for him to shift any amount of the good from one market to the other.

But for the discriminating monopolist to be in equilibrium it is essential not only that the marginal revenues in the two markets should be the same but that they should also be equal to the marginal cost of the whole output. Equality of marginal revenues in the two markets with marginal cost of the whole output ensures that the amount sold in the two markets will together be equal to the whole output OM which has been fixed by equalizing aggregate marginal revenue with marginal cost. It will be seen from figure (iii) that at equilibrium output OM, marginal cost is ME.

Now, the output OM has to be distributed in the two markets in such a way that marginal revenue in them should be equal to the marginal cost ME of the whole output. It is clear form the diagram (i) that OM1 must be sold in the sub-market A, because marginal revenue M1E1 at amount OM1 is equal to marginal cost ME. Similarly, OMmust be sold in sub-market B, since marginal revenue M2Eof amount OMis equal to the marginal cost ME of the whole output. To conclude, demand and cost conditions being given, the discriminating monopolist will produce total output OM and will sell amount OM1 in sub-market A and amount OM2 in submarket B. It should be carefully noted that the total output OM will be equal to OM+ OM2.

Another important thing to discover is what prices will be charged in the two markets. It is clear from the demand curve that amount OM1 of the good can be sold at price OP1 in submarket A. Therefore, price OP1 will be set in sub-market A. Like wise, amount OM2 can be sold at price OPin sub-market B. Therefore, price OP2 will be set in sub-market B. Further, it should be noted that price will be higher in the market A where the demand is less elastic than in market B where the demand is more elastic. Thus, price OP1 is greater than the price OP2.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation   ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation   ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 21: Fixation of Total Output and different price in the two sub-markets by the discriminating monopolist

3.2 IMPERFECT COMPETITION-MONOPOLISTIC COMPETITION 

Consider the market for soaps and detergents. Among the well known brands on sale are Lux, Rexona, Hamam, Dettol, Liril, Pears, Lifebuoy Plus, Dove and so many others. Is this market an example of perfect competition? Since all the soaps are almost similar, this appears to be an example of perfect competition. But on a close inspection we find that each seller has at least some variation between his product and those of his competitors. For example, whereas Lux is exhibited to be a beauty soap, Liril is more associated with freshness. And for that reason Dettol soap is placed as antiseptic and Dove for young smooth skin. The area of product and service differentiation gives each seller a chance to attract business to himself on some basis other than price. This is the monopolistic part of market situation. Thus this market contains features of both the markets discussed earlier – monopoly and perfect competition. In fact, this type of market is more common than pure competition or pure monopoly. The industries in monopolistic competition include clothing manufacturing and retail trade in large cities. There are many hundreds of manufacturers of women’s dresses, and hundreds of grocery shops in average medium sized or large city.

3.2.0 Features of Monopolistic Competition : 

(i) Large number of sellers : In a monopolistically competitive market, there are a large number of sellers who individually have a small share in the market.

(ii) Product differentiation : In a monopolistic competitive market, the products of different sellers are differentiated on the basis of brands. These brands are generally so much advertised that a consumer starts associating the brand with a particular manufacturer and a type of brand loyalty is developed. Product differentiation gives rise to an element of monopoly to the producer over the competing product. As such, the producer of an individual brand can raise the price of his product knowing that he will not lose all the customers to other brands because of absence of perfect substitutability. Since, however, all the brands are close substitutes of one another, the seller will lose some of his customers to his competitors. Thus this market is a blend of monopoly and perfect competition.

(iii) Freedom of entry or exit : New firms are free to enter into the market and existing firms are free to quit it.

(iv) Non-price competition : In a monopolistically competitive market, sellers try to compete on basis other than price, as for example aggressive advertising, product development, better distribution arrangements, efficient after-sales service, and so on. A key base of non-price competition is a deliberate policy of product differentiation. Sellers attempts to promote their products not by cutting prices but by incurring high expenditure on publicity and advertisement and other sale promoting techniques mentioned above. This is because price competition may result in price – wars which may throw a few firms out of market.

3.2.1 Price-output determination under monopolistic competition : Equilibrium of a firm : In a monopolistically competitive market since the product is differentiated between firms, each firm does not face a perfectly elastic demand for its products. Each firm is a price maker and is in a position to determine price of its own product. As such, the firm is faced with a downward sloping demand curve for its product. Generally, the less differentiated the product is from its competitors, the more elastic this curve will be.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 22 : Short run equilibrium of a firm in monopolistic competition : Super-normal profits

The firm depicted in figure 22 has a downward sloping but flat demand curve for its product. The firm is assumed to have U-shaped short run cost curve.

Conditions for the Equilibrium of an individual firm : The conditions for price-output determination and equilibrium of an individual firm may be stated as follows :

(i) MC = MR
(ii) MC curve must cut MR curve from below.

Figure 22 shows that MC cuts MR curve at E. At E, the equilibrium price is OP and equilibrium output is OQ. Since per unit cost is BQ, per unit super-normal profit (i.e. price-cost) is AB (or PC) and total super-normal profit is APCB. The firm may also be earning losses in the short run. This is shown in fig. 23.

The figure shows that per unit cost (AQ) is higher than price OP (or BQ) of the product of the firm and loss per unit is AB (AQ-BQ). Total loss is ACPB.

What about long run equilibrium of the industry? If the firms in a monopolistically competitive industry earn super-normal profits in the short run, there will be an incentive for new firms to enter the industry. As more firms enter, profits per firm will go on decreasing as the total demand for the product will be shared among a larger number of firms. This will happen till all the profits are wiped away and all the firms earn only normal profits. Thus in the long run all the firms will earn only normal profits.

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 23 : Short run equilibrium of a firm in Monopolistic Competition – With losses

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 24 : The long-term equilibrium of a firm in monopolistic competition

Figure 24 shows the long run equilibrium of a firm in a monopolistically competitive market. The average revenue curve touches the average cost curve at point X corresponding to quantity Q1 and price P1. At equilibrium (i.e. MC = MR) profits are zero, since average revenue equals average costs. All firms are earning zero supernormal profits or just normal profits.

In case of losses in the short run, the loss making firms will exit from the market and this will go on till the remaining firms make normal profits only.

It is to be noted that an individual firm in the long run is in equilibrium position at a position where it has excess capacity. That is, it is producing a lower quantity than its full capacity level. The firm in Figure 24 could expand its output from Q1 to Qand reduce average costs. But it does not do so because to do so would be to reduce average revenue even more than average costs. It implies that firms in monopolistic competition are not of optimum size and there exists excess capacity (Q1 Qin our example above) of production with each firm.

3.3 OLIGOPOLY 

We have studied price and output determination under three market forms, namely, perfect competition, monopoly and monopolistic competition. However, in the real world economies we find that many of the industries are oligopolistic. Oligopoly is an important form of imperfect competition. Oligopoly is often described as ‘competition among the few’. In other words, when there are few (two to ten) sellers in a market selling homogeneous or differentiated products, oligopoly is said to exist. Consider the example of cold drinks industry or automobile industry. Prof. Stigler defines oligopoly as that “situation in which a firm bases its market policy in part on the expected behavior of a few close rivals”. There are a handful firms manufacturing cold drinks in India. Similarly there are a few members of automobile industry in India. These industries exhibit some special features which are discussed in the following paragraphs.

Types of Oligopoly: 

Pure oligopoly or perfect oligopoly: It occures when the product dealt is homogeneous in nature, e.g. Aluminum industry. Differentiated or imperfect oligopoly is based on product differentiation, e.g. Talcum powder.

Open and closed oligopoly: In the open oligopoly new firms can enter the market and compete with the existing firms. But in closed oligopoly entry is restricted.

Collusive and Competitive oligopoly: When few firms of the oligopolist market come to a common understanding or act in collusion with each other in fixing price and output, it is collusive oligopoly. When there is a lack of understanding between the firms and they compete with each other it is called competitive oligopoly.

Partial or full oligopoly: Oligopoly is partial when the industry is dominated by one large firm which is considered or looked upon as the leader of the group. The dominating firm will be the price leader. In full oligopoly, the market will be conspicuous by the absence of price leadership.

Syndicated and organized oligopoly: Syndicated oligopoly refers to that situation where the firms sell their products through a centralized syndicate. Organized oligopoly refers to the situation where the firms organize themselves into a central association for fixing prices, output, quotas, etc.

3.3.0 Characteristics of Oligopoly Market : 

(i) Interdependence : The most important feature of oligopoly is interdependence in decisionmaking of the few firms which comprise the industry. This is because when the number of competitors is few, any change in price, output, product, by a firm will have direct effect on the fortune of the rivals, who will then retaliate in changing their own prices, output or advertising technique as the case may be. It is, therefore, clear that an oligopolistic firm must consider not only the market demand for the industry product but also the reactions of other firms in the industry to any major decision it takes.

(ii) Importance of advertising and selling costs : A direct effect of interdependence of oligopolists is that the various firms have to employ various aggressive and defensive marketing weapons to gain a greater share in the market or to maintain their share. For this various firms have to incur a good deal of costs on advertising and other measures of sales promotion. Therefore, there is a great importance of advertising and selling costs in an oligopoly market. It is to be noted that firms in such type of market avoid price cutting and try to compete on non-price basis because if they start under cutting one another a
type of price-war will emerge which will drive a few of them out of the market as customers will try to buy from the seller selling at the cheapest price.

(iii) Group behaviour : The theory of oligopoly is a theory of group behaviour, not of mass or individual behaviour and to assume profit maximising behaviour on oligopolist’s part may not be very valid. There is no generally accepted theory of group behaviour. Do the members of a group agree to pull together in promotion of common interest or will they fight to promote their individual interests? Does the group possess any leader? If so, how does he get the others to follow him? These are some of the questions that need to be answered by the theory of group behaviour. But one thing is certain. Each oligopolist closely watches the business behaviour of the other oligopolists in the industry and designs his moves on the basis of some assumptions of how they behave or likely to behave.

3.3.1 Price and output decisions in an oligopolistic market : Because of interdependence an oligopolistic firm cannot assume that its rival firms will keep their prices and quantities constant, when it makes changes in its price and/or quantity. When an oligopolistic firm changes its price, its rival firms will retaliate or react and change their prices which in turn would affect the demand of the former firm. Therefore, an oligopolistic firm cannot have sure and definite demand curve, since it keeps shifting as the rivals change their prices in reaction to the price changes made by it. Now when an oligopolist does not know his demand curve, what price and output he will fix cannot be ascertained by economic analysis. However, economists have established a number of price-output models for oligopoly market depending upon the behaviour pattern of the members of the group.

3.3.2 Kinked Demand Curve : It has been observed that in many oligopolistic industries prices remain sticky or inflexible for a long time. They tend to change infrequently, even in the face of declining costs. Many explanations have been given for this price rigidity under oligopoly and the most popular explanation is kinked demand curve hypothesis given by an American economist Sweezy. Hence this is called Sweezy’s Model.

The demand curve facing an oligopolist, according to the kinked demand curve hypothesis, has a ‘kink’ at the level of the prevailing price. The kink is formed at the prevailing price level. It is because the segment of the demand curve above the prevailing price level is highly elastic and the segment of the demand curve below the prevailing price level is inelastic. A kinked demand curve dD with a kink at point P has been shown in Fig. 25.   

ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

Fig. 25 : Kinked Demand Curve under oligopoly

The prevailing price level is MP and the firm produces and sells output OM. Now the upper segment dP of the demand curve dD is relatively elastic and lower segment PD is relatively inelastic. This difference in elasticities is due to the particular competitive reaction pattern assumed by the kinky demand curve hypothesis. This assumed pattern is :

Each oligopolist believes that if he lowers the price below the prevailing level its competitors will follow him and will accordingly lower prices, whereas if he raises the price above the prevailing level, its competitors will not follow its increase in price.

This is because when an oligopolist lowers the price of its product its competitors will feel that if they do not follow the price cut their customers will run away and buy from the firm which has lowered the price. Thus in order to maintain their customers they will also lower their prices. Thus the lower portion of the demand curve PD is price inelastic showing that very little increase in sales can be obtained by a reduction in price by an oligopolist. On the other hand, if a firm increases the price of its product there will a substantial reduction in its sales because as a result of the rise in its price, its customers will withdraw from it and go to its competitors which will welcome the new customers and will gain in sales. These happy competitors will have therefore no motivation to match the price rise. The oligopolist who raises its price will lose a great deal and will therefore refrain from increasing price. This behaviour of the oligopolists explains the elastic upper portion of the demand curve dp showing a large fall in sales if a producer raises his price.

Each oligopolist will, thus, adhere to the prevailing price seeing no gain in changing it and a kink will be formed at the prevailing price. Thus, rigid or sticky prices are explained according to the kinked demand curve theory. 

SUMMARY

The features of the various types of market forms are summarised in the table given below :

Classification of Market Forms

Form of Market

Structure

Number 

of firms

Nature 

of product

Price Elasticity 

of Demand

of a firm

Degree of Control over price

(a) Perfect

competition

A large number of firmsHomogeneousInfiniteNone
(b) MonopolyOne

Unique product 

without close 

substitute

Small

Very

Considerable

(c) Imperfect
 Competition 

 

(i)Monopolistic 

Competition

(ii) Oligopoly

 

 

 

A large number of firms

Few Firms

 

 

Differentiated 

products

Homogeneous or differentiated

 product

 

 

Large

Small

 

 

Some

Some


Perfect Competition, as evident from the above table is said to prevail where there is a large number of firms producing a homogeneous product. No individual firm is in a position to influence the price of the product and therefore the demand curve facing it will be a horizontal straight line at the prevailing market price. Short run equilibrium price of the firm is at a point where MC = MR of the firm. In the short run firms may be earning supernormal profits and some firms may be earning losses at the equilibrium price. In the long-run all the supernormal profits or losses get wiped away with entry or exit of the firms from the industry and all the firms earn normal profits.

Monopoly is an extreme form of imperfect competition with a single seller of a product which has no close substitutes. As such, a monopolist has considerable control over the price of his product. Short run equilibrium of the monopolist is at a point where MC = MR. In the long run he may continue to have super normal profits.

Monopoly control over the product gives rise to price-discrimination (i.e. charging different prices for the same product from different consumers).

Imperfect Competition is an important category wherein the individual firm exercises control over the price to a smaller or larger degree depending upon the degree of imperfection present. The first important and popular category of imperfect competition is monopolistic competition. In this type of market, there are a large number of monopolists competing with one another. is that of oligopoly in which there is competition among the few firms producing homogeneous or differentiated products. The limited number of firms ensures that each of them will have to consider the group reaction to any action it takes. Demand curve is highly elastic and a firm enjoys some control over the price. The other category is that of oligopoly in which there is competition among the few firms producing homogeneous or differentiated products. The limited number of firms ensures that each of them will have to consider the group reaction to any action it takes.  

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FAQs on ICAI Notes: Unit 3- Price Output Determination Under Different Market - CA Foundation

1. What is price-output determination?
Ans. Price-output determination refers to the process by which the price and quantity of goods or services produced in a market are determined. It involves analyzing the factors that influence the demand and supply of the product and how they interact to determine the equilibrium price and quantity in the market.
2. What are the different market structures that affect price-output determination?
Ans. There are several market structures that affect price-output determination, including perfect competition, monopoly, monopolistic competition, and oligopoly. In perfect competition, there are many buyers and sellers, and no individual firm has control over the market price. Monopoly occurs when there is a single seller in the market, giving them significant control over the price. Monopolistic competition is characterized by many firms selling differentiated products, leading to some control over prices. Oligopoly refers to a market with a few large firms that dominate the industry and have a significant influence on prices.
3. How does demand and supply determine price-output in different market structures?
Ans. In perfect competition, the market price is determined by the intersection of the demand and supply curves, where the quantity demanded equals the quantity supplied. In monopoly, the monopolist sets the price and quantity based on their market power. Monopolistic competition involves firms setting prices based on their perceived market power and product differentiation. In oligopoly, price-output determination is influenced by the strategic interactions between the few dominant firms.
4. What factors affect price-output determination in perfect competition?
Ans. In perfect competition, factors such as changes in consumer demand, production costs, technology, and government regulations can affect price-output determination. An increase in consumer demand or a decrease in production costs can lead to an increase in output and a decrease in price. Conversely, a decrease in demand or an increase in production costs can result in a decrease in output and an increase in price.
5. How does price discrimination impact price-output determination?
Ans. Price discrimination refers to the practice of charging different prices to different customers for the same product or service. It can impact price-output determination by allowing firms to maximize their profits by charging higher prices to customers with a higher willingness to pay. This can lead to an increase in output and a decrease in price for some customers, while others may face higher prices. Price discrimination is more likely to occur in markets with imperfect competition, where firms have some control over prices.
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