A Note on Discontinuous Games: Single Lower-Deviation Property

Rabia Nessah ()
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Rabia Nessah: LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique

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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.

Date: 2019
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Published in Revue d'économie politique, 2019, 129 (3), pp.419 - 429. ⟨10.3917/redp.293.0419⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-02498156

DOI: 10.3917/redp.293.0419

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