On Convexity for NTU-Games

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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.
Original languageEnglish
Place of PublicationTilburg
PublisherMicroeconomics
Number of pages26
Volume2000-108
Publication statusPublished - 2000

Publication series

NameCentER Discussion Paper
Volume2000-108

Keywords

  • game theory

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