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Convex games versus clan games

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Author Info
Branzei, Rodica
Dimitrov, Dinko
Tijs, Stef (Tilburg University, Center for Economic Research)

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Abstract

In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. We show that a "dualize and restrict" procedure transforms total clan games with zero worth for the clan into monotonic convex games. Furthermore, each monotonic convex game generates a total clan game with zero worth for the clan by a "dualize and extend" procedure. These procedures are also useful for relating core elements and elements of the Weber set of the corresponding games.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 58.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:200658

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

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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. Branzei, R. & Dimitrov, D. & Tijs, S.H., 2004. "A new characterization of convex games," Discussion Paper 109, Tilburg University, Center for Economic Research. [Downloadable!]
  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. Branzei, Rodica & Fragnelli, Vito & Meca, Ana & Tijs, Stef, 2006. "Two classes of cooperative games related to one-object auction situations," Discussion Paper 25, Tilburg University, Center for Economic Research. [Downloadable!]
  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. Branzei, R. & Dimitrov, D. & Tijs, S.H., 2004. "The equal split-off set for cooperative games," Discussion Paper 110, Tilburg University, Center for Economic Research. [Downloadable!]
  7. Yaron Azrieli & Ehud Lehrer, 2004. "On Concavification and Convex Games," Game Theory and Information 0408002, EconWPA. [Downloadable!]
  8. Voorneveld, M. & Tijs, S. & Grahn, S., 2000. "Monotonic allocation schemes in clan games," Discussion Paper 80, Tilburg University, Center for Economic Research. [Downloadable!]
  9. 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)
  10. Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471R, Cowles Foundation, Yale University. [Downloadable!]
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  11. 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)
  12. 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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(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. Béal, Sylvain & Durieu, Jacques & Solal, Philippe, 2007. "Farsighted Coalitional Stability in TU-games," Sonderforschungsbereich 504 Publications 07-57, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
    Other versions:
  2. Rodica Branzei & Stef Tijs & S. Zeynep Alparslan Gok, 2008. "Some Characterizations of Convex Interval Games," AUCO Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 219-226, December. [Downloadable!]
  3. Branzei, R. & Tijs, S.H. & Alparslan-Gok, S.Z., 2008. "Some Characterizations of Convex Interval Games," Discussion Paper 2008-55, Tilburg University, Center for Economic Research. [Downloadable!]
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