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Games of Status

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  • Quint, Thomas
  • Shubik, Martin

Abstract

A status game is a cooperative game in which the outcomes are rank orderings of the players. They are a good model for certain situations in which players care about how their "status" compares with that of other players. We present several formal models within this class. Included are authoritarian status games (where coalitions may assign positions in the rank ordering to nonmembers) and oligarchic status games (where they are unable to do so). We consider the issues of a value concept for authoritarian games and that of core existence for oligarchic games. We then add a transferable resource to the models, obtaining "games of wealth and status." Finally, we consider an interesting variant, called a "secession game," where coalitions have the right to secede from the grand coalition and form their own smaller "subsocieties," each with its own hierarchy. Copyright 2001 by Blackwell Publishing Inc.

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  • Quint, Thomas & Shubik, Martin, 2001. " Games of Status," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 349-372.
  • Handle: RePEc:bla:jpbect:v:3:y:2001:i:4:p:349-72
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    Cited by:

    1. 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.
    2. Martin Shubik, 1988. "The Interaction of Implicit and Explicit Contracts in Repeated Agency," Cowles Foundation Discussion Papers 891, Cowles Foundation for Research in Economics, Yale University.
    3. Martin Shubik, 1987. "Game Theory. Models of Strategic Behavior and Nuclear Deterrence," Cowles Foundation Discussion Papers 829, Cowles Foundation for Research in Economics, Yale University.

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