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Convex games, clan games, and their marginal games

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Author Info
Rodica Branzei (Faculty of Computer Science, Alexandru Ioan Cuza University)
Dinko Dimitrov () (Institute of Mathematical Economics, Bielefeld University)
Stef Tijs (Department of Econometrics and Operations Research, Tilburg University)

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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 superadditive.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-368.pdf
File Format: application/pdf
File Function: First version, 2005
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Publisher Info
Paper provided by Bielefeld University, Institute of Mathematical Economics in its series Working Papers with number 368.

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Length: 13 pages
Date of creation: Jun 2005
Date of revision:
Handle: RePEc:bie:wpaper:368

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Postal: Postfach 10 01 31, 33501 Bielefeld
Web page: http://www.imw.uni-bielefeld.de/
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Related research
Keywords: characterization; convex games; marginal games; subadditive games; superadditive games; total clan games;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

References listed on IDEAS
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  1. Tijs, Stef & Meca, Ana & Lopez, Marco A., 2005. "Benefit sharing in holding situations," European Journal of Operational Research, Elsevier, vol. 162(1), pages 251-269, April. [Downloadable!] (restricted)
  2. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May. [Downloadable!] (restricted)
  3. Biswas, A. K. & Parthasarathy, T. & Potters, J. A. M. & Voorneveld, M., 1999. "Large Cores and Exactness," Games and Economic Behavior, Elsevier, vol. 28(1), pages 1-12, July. [Downloadable!] (restricted)
  4. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December. [Downloadable!] (restricted)
  5. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October. [Downloadable!] (restricted)
  6. Potters, Jos & Poos, Rene & Tijs, Stef & Muto, Shigeo, 1989. "Clan games," Games and Economic Behavior, Elsevier, vol. 1(3), pages 275-293, September. [Downloadable!] (restricted)
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