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On convexity for NTU-games

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Author Info
Hendrickx, R.
Borm, P.
Timmer, J. (Tilburg University, Center for Economic Research)

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Abstract

For cooperative games with transferable utility, convexity has turned out to be an important and widely applicable concept. Convexity can be defined in a number of ways, each having its own specific attractions. Basically, these definitions fall into two categories, namely those based on a supermodular interpretation and those based on a marginalistic interpretation. For games with non-transferable utility, however, the literature only offers two kinds of convexity, ordinal and cardinal convexity, which both extend the supermodular interpretation. In this paper, we introduce and analyse three new types of convexity for NTU-games that generalise the marginalistic interpretation of convexity.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 108.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:2000108

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References listed on IDEAS
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. TamÂs Solymosi, 1999. "On the bargaining set, kernel and core of superadditive games," International Journal of Game Theory, Springer, vol. 28(2), pages 229-240. [Downloadable!] (restricted)
  2. Borm, Peter, et al, 1992. "The Compromise Value for NTU-Games," International Journal of Game Theory, Springer, vol. 21(2), pages 175-89.
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  3. Bezalel Peleg & Stef Tijs & Peter Borm & Gert-Jan Otten, 1998. "The MC-value for monotonic NTU-games," International Journal of Game Theory, Springer, vol. 27(1), pages 37-47. [Downloadable!] (restricted)
  4. Timmer, J. & Borm, P. & Tijs, S., 2000. "Convexity in stochastic cooperative situations," Discussion Paper 4, Tilburg University, Center for Economic Research. [Downloadable!]
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  5. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August. [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)
  7. Suijs, Jeroen & Borm, Peter, 1999. "Stochastic Cooperative Games: Superadditivity, Convexity, and Certainty Equivalents," Games and Economic Behavior, Elsevier, vol. 27(2), pages 331-345, May. [Downloadable!] (restricted)
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  1. Péter Csóka & P. Jean-Jacques Herings & László Á. Kóczy & Miklós Pintér, 2009. "Convex and Exact Games with Non-transferable Utility," Working Paper Series 0904, Budapest Tech, Keleti Faculty of Economics. [Downloadable!]
  2. Hendrickx, R., 2002. "Inheritance of properties in ntu communication situations," Discussion Paper 88, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Hendrickx, R., 2001. "A note on NTU convexity and population monotonic allocation schemes," Discussion Paper 70, Tilburg University, Center for Economic Research. [Downloadable!]
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