Existence of Nash Equilibrium in Discontinuous Games Report as inadecuate




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Abstract

This paper offers an equilibrium existence theorem in discontinuous games. We introducea new notion of continuity, called quasi-weak transfer continuity that guarantees the existenceof pure strategy Nash equilibrium in compact and quasiconcave games. We also considerpossible extensions and improvements of the main result. Our conditions are simple andeasy to verify. We present applications to show that our conditions allow for economicallymeaningful payoff discontinuities.



Item Type: MPRA Paper -

Original Title: Existence of Nash Equilibrium in Discontinuous Games-

Language: English-

Keywords: Discontinuous games; quasi-weak transfer continuity; various notions of transfercontinuity; Nash equilibrium-

Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C70 - GeneralD - Microeconomics > D0 - General > D00 - General-





Author: Nessah, Rabia

Source: https://mpra.ub.uni-muenchen.de/57906/







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