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On the existence of Nash equilibrium in discontinuous games

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.
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Submitted on : Tuesday, June 6, 2017 - 3:44:29 PM
Last modification on : Tuesday, April 12, 2022 - 4:12:03 PM

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Rabia Nessah, Guoqiang Tian. On the existence of Nash equilibrium in discontinuous games. Economic Theory, Springer Verlag, 2015, 61 (3), pp.515--540. ⟨10.1007/s00199-015-0921-8⟩. ⟨hal-01533554⟩



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