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A Note on the Existence of Nash Equilibrium in Games with Discontinuous Payoffs


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Publication Date: 2006-03-14

Publisher: Faculty of Economics

Language: en_GB

Type: Working Paper

Metadata: Show full item record

Citation: Gatti, J. R. J. (2006). A Note on the Existence of Nash Equilibrium in Games with Discontinuous Payoffs. https://doi.org/10.17863/CAM.5067

Abstract: This paper generalises the approach taken by Dasgupta & Maskin (1986) and Simon (1989) and provides necessary and sufficient conditions for the existence of pure and mixed strategy Nash equilibrium in games with continuous strategy spaces and discontinuous payoff functions. The conditions can be applied widely, and examples for existence of pure strategy and monotonic equilibria in First-Price auctions are provided. The conditions are also appropriate for ensuring that computer generated equilibrium solutions can be extended to continuous strategy spaces.

Keywords: Classification-JEL: C70, D44, Nash Equilibrium, Discontinuous Payoff Function, First-price Auctions

Identifiers:

This record's DOI: https://doi.org/10.17863/CAM.5067

This record's URL: http://www.dspace.cam.ac.uk/handle/1810/131628https://www.repository.cam.ac.uk/handle/1810/131628







Autor: Gatti, J. Rupert J.

Fuente: https://www.repository.cam.ac.uk/handle/1810/131628



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