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Club networks with multiple memberships and noncooperative stability
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Page, Frank H. and Wooders, Myrna Holtz (2010) Club networks with multiple memberships and noncooperative stability. Games and Economic Behavior, Vol.70 (No.1). pp. 12-20. doi:10.1016/j.geb.2009.07.006 ISSN 0899-8256.
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Official URL: http://dx.doi.org/10.1016/j.geb.2009.07.006
Abstract
Modeling club structures as bipartite directed networks, we formulate the problem of club formation with multiple memberships as a noncooperative game of network formation and identify conditions on network formation rules and players' network payoffs sufficient to guarantee that the game has a potential function. Our sufficient conditions require that each player choose freely and unilaterally those clubs he joins and also his activities within those clubs (subject to feasibility constraints). We refer to our conditions on rules as noncooperative free mobility. We also require that players' payoffs be additively separable in player-specific payoffs and externalities and that payoff externalities — a function of club membership, club activities, and crowding — be identical across players (externality homogeneity). We then show that under these conditions, the noncooperative game of club network formation with multiple memberships is a potential game over directed club networks and we discuss the implications of this result.
Item Type: | Journal Article | ||||
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Subjects: | H Social Sciences > HB Economic Theory | ||||
Divisions: | Faculty of Social Sciences > Economics | ||||
Journal or Publication Title: | Games and Economic Behavior | ||||
Publisher: | Elsevier | ||||
ISSN: | 0899-8256 | ||||
Official Date: | September 2010 | ||||
Dates: |
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Volume: | Vol.70 | ||||
Number: | No.1 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 12-20 | ||||
DOI: | 10.1016/j.geb.2009.07.006 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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