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Monotone methods for equilibrium selection under perfect foresight dynamics (2008)

Abstract
[This item is a preserved copy. To view the original, visit http://econtheory.org/] This paper studies a dynamic adjustment process in a large society of forward-looking agents where payoffs are given by a normal form supermodular game. The stationary states of the dynamics correspond to the Nash equilibria of the stage game. It is shown that if the stage game has a monotone potential maximizer, then the corresponding stationary state is uniquely linearly absorbing and globally accessible for any small degree of friction. A simple example of a unanimity game with three players is provided where there are multiple globally accessible states for a small friction.

Publication details
Download http://econtheory.org/ojs/index.php/te/article/view/20080155
http://hdl.handle.net/1807/10424
Publisher Theoretical Economics
Repository T-Space at The University of Toronto Libraries (Canada)
Keywords Equilibrium selection, perfect foresight dynamics, supermodular game, strategic complementarity, stochastic dominance, potential, monotone potential, C72, C73
Type Peer-reviewed article
Language English