On the existence of Nash equilibrium in discontinuous games

Rabia Nessah () and Guoqiang Tian

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Abstract: This paper offers an equilibrium existence theorem in discontinuous games. We introduce a new notion of very weak continuity, called quasi-weak transfer continuity that guarantees the existence of pure strategy Nash equilibrium in compact and quasiconcave games. We also consider possible extensions and improvements of the main result. We present applications to show that our conditions allow for economically meaningful payoff discontinuities.

Keywords: Discontinuous games; Quasi-weak transfer continuity; Various notions of transfer continuity; Nash equilibrium (search for similar items in EconPapers)
Date: 2015-10
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Citations: View citations in EconPapers (2)

Published in Economic Theory, 2015, 61 (3), pp.515--540. ⟨10.1007/s00199-015-0921-8⟩

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Journal Article: On the existence of Nash equilibrium in discontinuous games (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01533554

DOI: 10.1007/s00199-015-0921-8

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