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Alliance Formation and Coercion in Networks

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  • Hiller, Timo

Abstract

This paper presents a game-theoretic model of network formation, which allows agents to enter bilateral alliances and to extract payoffs from enemies. Each pair of agents creates a surplus of one, which allies divide in equal parts. If agents are enemies, then the agent with more allies obtains a larger share of the surplus. I show that Nash equilibria are of two types. First, a state of utopia, where all agents are allies. Second, asymmetric equilibria, such that agents can be partitioned into sets of different size, where agents within the same set are allies and agents in different sets are enemies. These results stand in contrast to coalition formation games in the economics of conflict literature, where stable group structures are generally symmetric. The model provides a game-theoretic foundation for structural balance, a long- standing notion in social psychology, which has been fruitfully applied to the study of alliance formation in international relations.

Suggested Citation

  • Hiller, Timo, 2011. "Alliance Formation and Coercion in Networks," Climate Change and Sustainable Development 108251, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemcl:108251
    DOI: 10.22004/ag.econ.108251
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    File URL: https://ageconsearch.umn.edu/record/108251/files/NDL2011-042.pdf
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    Cited by:

    1. Kenan Huremović, 2021. "A noncooperative model of contest network formation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 275-317, April.
    2. David Rietzke & Brian Roberson, 2013. "The robustness of ‘enemy-of-my-enemy-is-my-friend’ alliances," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 937-956, April.
    3. Franke, Jörg & Öztürk, Tahir, 2015. "Conflict networks," Journal of Public Economics, Elsevier, vol. 126(C), pages 104-113.
      • Franke, Jörg & Öztürk, Tahir, 2009. "Conflict Networks," Ruhr Economic Papers 116, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

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    Keywords

    Environmental Economics and Policy;

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