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On the Learning and Stability of Mixed Strategy Nash Equilibria in Games of Strategic Substitutes

Eric Hoffmann
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Eric Hoffmann: Department of Economics, The University of Kansas

No 201405, WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS from University of Kansas, Department of Economics

Abstract: This paper analyzes the learning and stability of mixed strategy Nash equilibria in games of strategic substi- tutes (GSS), complementing recent work done in the case of strategic complements (GSC). Mixed strategies in GSS are of particular interest because it is well known that such games need not exhibit pure strategy Nash equilibria. First, we establish bounds on the strategy space which indicate where randomizing behavior may occur in equilibrium. Second, we show that mixed strategy Nash equilibria are generally unstable under a wide variety of learning rules. Multiple examples are given.y.

JEL-codes: C60 C62 C72 D80 (search for similar items in EconPapers)
Date: 2014-10
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