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A note on NTU convexity

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Author Info
Ruud Hendrickx () (CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands)
Judith Timmer (Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands This author acknowledges financial support from the Netherlands Organisation for Scientific Research through project 613-304-059)
Peter Borm () (CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands)

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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 nontransferable utility, however, the literature mainly focuses on two kinds of convexity, ordinal and cardinal convexity, which both extend the supermodular interpretation. In this paper, we analyse three types of convexity for NTU games that generalise the marginalistic interpretation of convexity.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 31 (2002)
Issue (Month): 1 ()
Pages: 29-37
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Handle: RePEc:spr:jogath:v:31:y:2002:i:1:p:29-37

Note: Received: December 2000
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Related research
Keywords: NTU games · convexity;

Cited by:
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  1. Takuya Masuzawa, 2008. "Computing the cores of strategic games with punishment–dominance relations," International Journal of Game Theory, Springer, vol. 37(2), pages 185-201, June. [Downloadable!] (restricted)
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This page was last updated on 2009-11-25.

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