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Convex fuzzy games and participation monotonic allocation schemes

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Author Info
Branzei, R.
Dimitrov, D.
Tijs, S. (Tilburg University, Center for Economic Research)

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Abstract

In this paper the cone of convex cooperative fuzzy games is studied. As in the classical case of convex crisp games, these games have a large core and the fuzzy Shapley value is the barycenter of the core. surprisingly, the core and the Weber set coincide as in the classical case but the coincidence of these sets for a fuzzy game does not imply automatically convexity as in the crisp case. Participation monotonic allocation schemes (pamas) are introduced and it turns out that each core element of a convex fuzzy game is pamas-extendable.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 13.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200213

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Keywords: 90D12; 03E72;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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)
  2. Branzei, R. & Tijs, S., 2001. "Additivity regions for solutions in cooperative game theory," Discussion Paper 81, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471R, Cowles Foundation, Yale University. [Downloadable!]
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  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. Tsurumi, Masayo & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "A Shapley function on a class of cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 129(3), pages 596-618, March. [Downloadable!] (restricted)
  6. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Branzei, R. & Dimitrov, D. & Tijs, S., 2002. "Egalitarianism in convex fuzzy games," Discussion Paper 97, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Yaron Azrieli & Ehud Lehrer, 2005. "Cooperative investment games or population games," Game Theory and Information 0503007, EconWPA. [Downloadable!]
  3. Branzei,R. & Dimitrov,D. & Tijs,S., 2002. "Hypercubes and compromise values for cooperative fuzzy games," Working Papers 331, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
    Other versions:
  4. Tijs, S. & Branzei, R. & Ishihara, S. & Muto, S., 2002. "On cores and stable sets for fuzzy games," Discussion Paper 116, Tilburg University, Center for Economic Research. [Downloadable!]
  5. Yaron Azrieli & Ehud Lehrer, 2007. "On some families of cooperative fuzzy games," International Journal of Game Theory, Springer, vol. 36(1), pages 1-15, September. [Downloadable!] (restricted)
  6. Tijs, S. & Branzei, R. & Muto, S. & Ishihara, S. & Fukuda, E., 2002. "Fuzzy clan games and bi-monotonic allocation rules," Discussion Paper 115, Tilburg University, Center for Economic Research. [Downloadable!]
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