Economic Theory

, Volume 22, Issue 4, pp 903–905

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

  • Federico Echenique
Exposita Note

DOI: 10.1007/s00199-002-0337-0

Cite this article as:
Echenique, F. Econ Theory (2003) 22: 903. doi:10.1007/s00199-002-0337-0

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.

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

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Federico Echenique
    • 1
  1. 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