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.
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Received: May 31, 2001; revised version: October 4, 2002
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Echenique, F. The equilibrium set of two-player games with complementarities is a sublattice. Econ Theory 22, 903–905 (2003). https://doi.org/10.1007/s00199-002-0337-0
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DOI: https://doi.org/10.1007/s00199-002-0337-0