An Axiomatic Characterization of the Position Value for Network Situations

Posted: 20 May 2013

See all articles by Anne van den Nouweland

Anne van den Nouweland

University of Oregon - Department of Economics

Marco Slikker

Eindhoven University of Technology (TUE) - School of Industrial Engineering

Date Written: June 13, 2012

Abstract

Network situations as introduced by Jackson and Wolinsky (1996) incorporate the influence of the architecture of a network rather than just the connectivity it provides and thereby provide a more flexible setting than communication situations, which consist of a game with transferable utility and a network. We characterize the position value for network situations along the lines of the characterization of the Shapley value by Shapley (1953). In contrast to previous attempts to provide such an axiomatization, we require no condition on the underlying network. The reason for this is that we exploit the additional flexibility of network situations.

Keywords: Network Situation, Position Value, Axiomatization

JEL Classification: C71

Suggested Citation

van den Nouweland, Anne and Slikker, Marco, An Axiomatic Characterization of the Position Value for Network Situations (June 13, 2012). Mathematical Social Sciences, Vol. 64, 2012, Available at SSRN: https://ssrn.com/abstract=2267192

Anne Van den Nouweland (Contact Author)

University of Oregon - Department of Economics ( email )

Eugene, OR 97403
United States
541-346-1267 (Phone)
541-346-1243 (Fax)

HOME PAGE: http://https://sites.google.com/view/annevandennouweland/

Marco Slikker

Eindhoven University of Technology (TUE) - School of Industrial Engineering ( email )

P.O. Box 513
5600 MB Eindhoven
Netherlands

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