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Supermodular Social Games

Renou, Ludovic (2005) Supermodular Social Games. Working Paper. University of Adelaide, School of Economics Working Papers.

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Abstract

A social game is a generalization of a strategic-form game, in which not only the payoff of each player depends upon the strategies chosen by their opponents, but also their set of admissible strategies. Debreu (1952) proves the existence of a Nash equilibrium in social games with continuous strategy spaces. Recently, Polowczuk and Radzik (2004) have proposed a discrete counterpart of Debreu's theorem for two-person social games satisfying some 'convexity properties'. In this note, we define the class of supermodular social games and give an existence theorem for this class of games.

Item Type: Monograph (Working Paper)
Uncontrolled Keywords: strategic-form games; social games; supermodularity; Nash equilibrium; existence
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics, Department of
Depositing User: Jim Jamieson
Date Deposited: 07 Jan 2013 16:40
Last Modified: 07 Jan 2013 16:40
URI: http://repository.essex.ac.uk/id/eprint/5025

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