Carmona, Guilherme and Podczeck, Konrad (2013): Existence of Nash Equilibrium in games with a measure space of players and discontinuous payoff functions.

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Abstract
Balder's (2002) model of games with a measure space of players is integrated with the line of research on finiteplayer games with discontinuous payoff functions which follows Reny (1999). Specifically, we extend the notion of continuous security, introduced by McLennan, Monteiro and Tourky (2011) and Barelli and Meneghel (2012) for finiteplayers games, to games with a measure space of players and establish the existence of pure strategy Nash equilibrium for such games. A specification of our main existence result is provided which is ready to fit the needs of applications. As an illustration, we consider several optimal income tax problems in the spirit of Mirrlees (1971) and use our gametheoretic result to show the existence of an optimal income tax in each of these problems.
Item Type:  MPRA Paper 

Original Title:  Existence of Nash Equilibrium in games with a measure space of players and discontinuous payoff functions 
Language:  English 
Keywords:  Existence of equilibrium; measure space of players; discontinuities 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C72  Noncooperative Games 
Item ID:  44263 
Depositing User:  Guilherme Carmona 
Date Deposited:  08 Feb 2013 00:12 
Last Modified:  27 Sep 2019 15:51 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/44263 