A Note on Discontinuous Games: Single Lower-Deviation Property

Rabia Nessah

Revue d'économie politique, 2019, vol. 129, issue 3, 419-429

Abstract: Reny [2009] shows that a bounded, compact Hausdorff topological vector space quasiconcave game has a Nash equilibrium if it has the lower single deviation property. We introduce a new notion of continuity, called pseudo upper semicontinuity, which is weaker than most known weak notions of continuity, and we show that it can be used to establish that a game has a lower single-deviation property. Classification JEL: C72

Keywords: discontinuous games; lower single-deviation property; weakly reciprocal upper semicontinuous; Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2019
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