Renou, Ludovic (2005) Supermodular social games. Working Paper. Econ WPA Game Theory and Information Series 502002.
Renou, Ludovic (2005) Supermodular social games. Working Paper. Econ WPA Game Theory and Information Series 502002.
Renou, Ludovic (2005) Supermodular social games. Working Paper. Econ WPA Game Theory and Information Series 502002.
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) |
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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 11:21 |
Last Modified: | 07 Jan 2013 11:21 |
URI: | http://repository.essex.ac.uk/id/eprint/5010 |