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The equilibrium set of two-player games with complementarities is a sublattice
Authors:Federico Echenique
Affiliation:(1) Universidad Torcuato Di Tella, Mi{n}ones 2177, C1428ATG Buenos Aires, ARGENTINA, and Facultad de Ciencias Sociales, Universidad de la República, Montevideo, URUGUAY (e-mail: fechenique@utdt.edu) , UY
Abstract:
Summary. I prove that the equilibrium set in a two-player game with complementarities, and totally ordered strategy spaces, is a sublattice of the joint strategy space. Received: May 31, 2001; revised version: October 4, 2002
Keywords:and Phrases: Supermodular games   Strategic complementarities   Tarski's fixed point theorem   Lattice.
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