Games on Social Networks: On a Problem Posed by Goyal

Ali Kakhbod () and Demosthenis Teneketzis ()
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Ali Kakhbod: University of Michigan, Ann Arbor
Demosthenis Teneketzis: University of Michigan, Ann Arbor

Economics Bulletin, 2011, vol. 31, issue 3, 2177-2184

Abstract: Within the context of games on networks S. Goyal (Goyal (2007), pg. 39) posed the following problem. Under any arbitrary but fixed topology, does there exist at least one pure Nash equilibrium that exhibits a positive relation between the cardinality of a player's set of neighbors and its utility payoff? In this paper we present a class of games/topologies in which pure Nash equilibria with the above property do not exist.

Keywords: Social sharing of information; Game theory; Social network (search for similar items in EconPapers)
JEL-codes: C7 D0 (search for similar items in EconPapers)
Date: 2011-07-27
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