A note on NTU convexity

Ruud Hendrickx, Judith Timmer and Peter Borm
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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

International Journal of Game Theory, 2002, vol. 31, issue 1, 29-37

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.

Keywords: NTU; games; ·; convexity (search for similar items in EconPapers)
Date: 2002-10-02
Note: Received: December 2000
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Citations: View citations in EconPapers (19)

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