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The core-partition of hedonic games

Author

Listed:
  • Vincent Iehlé

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

A pure hedonic game describes the situation where player's utility depends only on the identity of the members of the group he belongs to. The paper provides a necessary and sufficient condition for the existence of core-partition in hedonic games. The condition is based on a new concept of balancedness, called pivotal balancedness. pivotal balancedness involves especially the notion pivotal distribution that associates to each coalition a sub-group of players in the coalition. Then, we proceed to a review of several sufficient conditions for core-partition existence showing how the results can be unified through suitably chosen pivotal distributions.

Suggested Citation

  • Vincent Iehlé, 2005. "The core-partition of hedonic games," Post-Print halshs-00197528, HAL.
    • Handle: RePEc:hal:journl:halshs-00197528
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00197528
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