There are several reputable journals that discuss the role of non-state actors and transnational networks in international relations, which would be beneficial for students studying Political Science and International Relations (PSIR). These journals provide valuable insights and analysis on various issues related to non-state actors and transnational networks in the field of international relations. Some of these journals include:

1. "International Organization" - This journal focuses on the role of non-state actors in global governance, transnational networks, and the dynamics of international relations. It publishes scholarly articles that examine the impact and influence of non-state actors on global politics.

2. "Review of International Studies" - This journal explores the role and influence of non-state actors in shaping international relations. It covers a wide range of topics related to transnational networks, global governance, and the interactions between state and non-state actors.

3. "Global Governance" - This journal offers critical analysis of the role and impact of non-state actors and transnational networks in global politics. It publishes research articles, policy papers, and book reviews that contribute to the understanding of non-state actors in international relations.

4. "Journal of International Relations and Development" - This journal examines the role of non-state actors and transnational networks in international development and global governance. It provides a platform for scholars to explore the contributions and challenges of non-state actors in various realms of international relations.

5. "International Studies Quarterly" - This journal covers a broad range of topics in international relations, including the role of non-state actors and transnational networks. It publishes research articles that analyze the interactions between state and non-state actors and their impact on global politics.

These journals provide rigorous academic research and analysis on the role of non-state actors and transnational networks in international relations. They are valuable resources for students studying PSIR, as they offer diverse perspectives and insights into this important aspect of global politics.