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Noncooperative Bargaining in Apex Games and the Kernel

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  • Montero, M.P.

    (Tilburg University, School of Economics and Management)

Abstract

This paper studies non-cooperative bargaining with random proposers in apex games. Two di¤erent protocols are considered: the egalitarian propocol, which selects each player to be the proposer with the same probability, and the proportional protocol, which selects each player with a probability proportional to his number of votes. Expected equilibrium payo¤s coincide with the kernel for the grand coalition regardless of the protocol. Expected payo¤s conditional on a coalition may depend on the protocol: given a coalition of the apex player with a minor player, an egalitarian protocol yields a nearly equal split whereas a proportional protocol leads to a proportional split.
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Suggested Citation

  • Montero, M.P., 1999. "Noncooperative Bargaining in Apex Games and the Kernel," Other publications TiSEM fe9b8d66-a367-44e4-bf72-e, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:fe9b8d66-a367-44e4-bf72-e0a3d85e66b6
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    References listed on IDEAS

    as
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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