Exposita Note

Economic Theory

, Volume 22, Issue 4, pp 903-905

First online:

The equilibrium set of two-player games with complementarities is a sublattice

  • Federico EcheniqueAffiliated withUniversidad 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)

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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.

Keywords and Phrases: Supermodular games, Strategic complementarities, Tarski's fixed point theorem, Lattice.
JEL Classification Numbers: C62, C72.