If four members a b c d of a decision making body are in a meeting to ...
Wining Coalitions in a Decision Making Body
Introduction
In a decision making body, passing a resolution requires the rule of the majority. The resolution is passed when more than half of the members vote in favor of it. In this scenario, there are four members with different share percentages, and we need to identify the winning coalitions.
Share Percentages of Members
- a - 50%
- b - 20%
- c - 15%
- d - 15%
Majority Rule
In a decision making body, the majority rule prevails. This means that a resolution is passed when more than half of the members vote in favor of it. In this case, the majority requires at least three members to vote in favor of the resolution.
Winning Coalitions
- a, b, c - This coalition has a total share of 85%, and it can pass the resolution by voting in favor of it.
- a, b, d - This coalition has a total share of 85%, and it can pass the resolution by voting in favor of it.
- a, c, d - This coalition has a total share of 80%, and it can pass the resolution by voting in favor of it.
- b, c, d - This coalition has a total share of 50%, and it cannot pass the resolution as it does not meet the majority requirement.
- a, b - This coalition has a total share of 70%, and it cannot pass the resolution as it does not meet the majority requirement.
- a, c - This coalition has a total share of 65%, and it cannot pass the resolution as it does not meet the majority requirement.
- a, d - This coalition has a total share of 65%, and it cannot pass the resolution as it does not meet the majority requirement.
- b, c - This coalition has a total share of 35%, and it cannot pass the resolution as it does not meet the majority requirement.
- b, d - This coalition has a total share of 35%, and it cannot pass the resolution as it does not meet the majority requirement.
- c, d - This coalition has a total share of 30%, and it cannot pass the resolution as it does not meet the majority requirement.
Conclusion
Based on the share percentages of the members, there are three winning coalitions that can pass the resolution by voting in favor of it. These coalitions include a combination of three members, namely a, b, c, and a, b, d, and a, c, d. The remaining coalitions do not meet the majority requirement and cannot pass the resolution.