On Convexity for Ntu-Games

Tilburg University, CentER Working Paper No. 2000-108

26 Pages Posted: 20 Nov 2000

See all articles by Ruud Hendrickx

Ruud Hendrickx

Tilburg University - Center for Economic Research (CentER)

Peter Borm

Tilburg University - Center for Economic Research (CentER); Tilburg University - Department of Econometrics & Operations Research

Judith Timmer

University of Twente - Department of Applied Mathematics

Date Written: November 2000

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.

Suggested Citation

Hendrickx, Ruud and Borm, Peter E. M. and Timmer, Judith, On Convexity for Ntu-Games (November 2000). Tilburg University, CentER Working Paper No. 2000-108, Available at SSRN: https://ssrn.com/abstract=250792 or http://dx.doi.org/10.2139/ssrn.250792

Ruud Hendrickx

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

Peter E. M. Borm

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

Tilburg University - Department of Econometrics & Operations Research

Tilburg, 5000 LE
Netherlands

Judith Timmer (Contact Author)

University of Twente - Department of Applied Mathematics ( email )

P.O. Box 217
7500 AE Enschede
Netherlands

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