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k-Convexity for transferable utility games: several characterizations

Author

Listed:
  • Theo Driessen
  • Carlos Rafels Pallarola

    (Universitat de Barcelona)

Abstract

The paper deals with the subclass of k-convex n-person transferable utility games which have clear affinities to the well-known convex TU-games. Five new characterizations of a k-convex n-person TU-game are presented in terms of: (1) the unanimity coordinates of TU-game with respect to the particular basis consisting of all n-person unanimity TU-games; (2) the second order partial derivatives of Owen's multilinear extension of the TU-game; (3) the adjusted marginal worth vectors of the TU-game in comparison with the core of the TU-game; (4) a minmodular decomposition of the associated cover TU-game; (5) the concavity of the Lovasz extension of the associated cover TU-game.

Suggested Citation

  • Theo Driessen & Carlos Rafels Pallarola, 1996. "k-Convexity for transferable utility games: several characterizations," Working Papers in Economics 8, Universitat de Barcelona. Espai de Recerca en Economia.
    • Handle: RePEc:bar:bedcje:19968
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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