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Convex games, clan games, and their marginal games

Author

Listed:
  • Branzei, Rodica

    (Center for Mathematical Economics, Bielefeld University)

  • Dimitrov, Dinko

    (Center for Mathematical Economics, Bielefeld University)

  • Tijs, Stef

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. As it turns out, a cooperative game is convex if and only if all its marginal games are superadditive, and a monotonic game satisfying the veto player property with respect to the members of a coalition C is a total clan game (with clan C) if and only if all its C-based marginal games are subadditive.

Suggested Citation

  • Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2011. "Convex games, clan games, and their marginal games," Center for Mathematical Economics Working Papers 368, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:368
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    File URL: https://pub.uni-bielefeld.de/download/2315498/2319804
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    References listed on IDEAS

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    10. Rodica Brânzei & Stef Tijs & Judith Timmer, 2001. "Information collecting situations and bi-monotonic allocation schemes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(2), pages 303-313, December.
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