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Two-Stage Bargaining with Reversible Coalitions: the Case of Apex Games

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  • Montero, Maria

    (University of Nottingham)

Abstract

This paper studies coalition formation and payoff division in a class of majority games (apex games) assuming that payoff division can only be agreed upon after forming the coalition (two-stage bargaining) and that negotiations in the coalition can break down and a new coalition be formed (reversible coalitions). In contrast with the results of other two-stage models, all minimal winning coalitions may form and expected payoffs coincide with the per capita nucleolus. These results are robust to small changes in the bargaining procedure. Surprisingly, having a two-stage process (rather than a one-stage process with simultaneous coalition formation and payoff division) benefits the apex player.

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Bibliographic Info

Paper provided by Royal Economic Society in its series Royal Economic Society Annual Conference 2003 with number 157.

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Date of creation: 04 Jun 2003
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Handle: RePEc:ecj:ac2003:157

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Keywords: coalition formation; two-stage bargaining; reversible coalitions; apex games; per capita nucleolus;

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  1. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  2. Montero, M.P., 1999. "Noncooperative Bargaining in Apex Games and the Kernel," Discussion Paper 1999-61, Tilburg University, Center for Economic Research.
  3. Slikker, M., 2000. "Decision Making and Cooperation Restrictions," Open Access publications from Tilburg University urn:nbn:nl:ui:12-82556, Tilburg University.
  4. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  5. Bennett, E. & Van Damme, E., 1990. "Demand Commitment Bargaining: -The Case Of Apex Games," Papers 9062, Tilburg - Center for Economic Research.
  6. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  7. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
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