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Coalition Formation in a Contest Game with Three Heterogeneous Players



We analyze the incentives for cooperation of three players differing in their efficiency of effort in a contest game. We concentrate on the non-cooperative bargaining foundation of coalition formation, and therefore, we adopt a two-stage model. In the first stage, individuals form coalitions following a bargaining protocol similar to the one proposed by Gul (1989). Afterwards, coalitions play the contest game of Esteban and Ray (1999) within the resulting coalition structure of the first stage. We find that the grand coalition forms whenever the distribution of the bargaining power in the coalition formation game is equal to the distribution of the relative efficiency of effort. Finally, we use the case of equal bargaining power for all individuals to show that other types of coalition structures may be observed as well.

Suggested Citation

  • Marc Vorsatz, 2003. "Coalition Formation in a Contest Game with Three Heterogeneous Players," UFAE and IAE Working Papers 567.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:567.03

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    References listed on IDEAS

    1. Economides, Nicholas & Salop, Steven C, 1992. "Competition and Integration among Complements, and Network Market Structure," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 105-123, March.
    2. Matutes, Carmen & Regibeau, Pierre, 1992. "Compatibility and Bundling of Complementary Goods in a Duopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 37-54, March.
    3. R. Preston McAfee & John McMillan & Michael D. Whinston, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 371-383.
    4. Whinston, Michael D, 1990. "Tying, Foreclosure, and Exclusion," American Economic Review, American Economic Association, vol. 80(4), pages 837-859, September.
    5. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, July.
    6. Barry Nalebuff, 2000. "Competing Against Bundles," Yale School of Management Working Papers ysm157, Yale School of Management.
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    More about this item


    Contest; Rent-Seeking; Coalition Formation;

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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