Games with the Total Bandwagon Property

Jun Honda

Department of Economics Working Papers from Vienna University of Economics and Business, Department of Economics

Abstract: We consider the class of two-player symmetric n x n games with the total bandwagon property (TBP) introduced by Kandori and Rob (1998). We show that a game has TBP if and only if the game has 2^n - 1 symmetric Nash equilibria. We extend this result to bimatrix games by introducing the generalized TBP. This sheds light on the (wrong) conjecture of Quint and Shubik (1997) that any n x n bimatrix game has at most 2^n - 1 Nash equilibria. As for an equilibrium selection criterion, I show the existence of a ½-dominant equilibrium for two subclasses of games with TBP: (i) supermodular games; (ii) potential games. As an application, we consider the minimum-effort game, which does not satisfy TBP, but is a limit case of TBP.

Keywords: Bandwagon; Nash Equilibrium; Number of Equilibria; Coordination Game; Equilibrium Selection (search for similar items in EconPapers)
JEL-codes: C62 C72 C73 (search for similar items in EconPapers)
Date: 2015-07
New Economics Papers: this item is included in nep-gth and nep-hpe
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Working Paper: Games with the Total Bandwagon Property (2015)
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