Games on Social Networks: On a Problem Posed by Goyal

Details Games on Social Networks: On a Problem Posed by Goyal Games on Social Networks: On a Problem Posed by Goyal

2010-01-21

arxiv.org/abs/1001.3896v4

Economic Bulletin (EB). vol 31, no. 3, pp. 2177-2184, 2011

Computer Science

Computer Science and Game Theory

Scientific paper

Within the context of games on networks S. Goyal (Goya (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 topologies/games in which pure Nash equilibria with the above property do not exist.

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