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Core in a simple coalition formation game

Author

Listed:
  • Tayfun Sönmez

    (University of Michigan and Department of Economics, Koç University Istinye, 80860, Istanbul, Turkey)

  • Suryapratim Banerjee

    (Department of Economics, McGill University, Montreal, Canada H3A 2T7)

  • Hideo Konishi

    (Department of Economics, Boston College, Chestnut Hill, MA 02467, USA)

Abstract

We analyze the core of a class of coalition formation game in which every player's payoff depends only on the members of her coalition. We first consider anonymous games and additively separable games. Neither of these strong properties guarantee the existence of a core allocation, even if additional strong properties are imposed. We then introduce two top-coalition properties each of which guarantee the existence. We show that these properties are independent of the Scarf-balancedness condition. Finally we give several economic applications.

Suggested Citation

  • Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
  • Handle: RePEc:spr:sochwe:v:18:y:2001:i:1:p:135-153
    Note: Received: 31 July 1999/Accepted: 5 January 2000
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