Journal article

On The Existence Of Mixed Strategy Nash Equilibria

Year:

2014

Published in:

Mathematical Economics
Mixed Strategy Nash Equilibrium
Better-Reply Secure
Diagonally Transfer Continuous
Payoff Security
Uniform Diagonal Security

The focus of this paper is on developing verifiable sufficient conditions for the existence of a mixed strategy Nash equilibrium for both diagonally transfer continuous and better-reply secure games. First, we show that employing the concept of diagonal transfer continuity in place of better-reply security might be advantageous when the existence of a mixed strategy Nash equilibrium is concerned. Then, we study equilibrium existence in better-reply secure games possessing a payoff secure mixed extension. With the aid of an example, we show that such games need not have mixed strategy Nash equilibria. We provide geometric conditions for the mixed extension of a two-person game that is reciprocally upper semicontinuous and uniformly payoff secure to be better-reply secure.

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16 publications found

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On Monotone Approximate And Exact Equilibria Of An Asymmetric First‑Price Auction With Affiliated Private Information

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2003
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Subgame Perfect Correlated Equilibria in Repeated Games

Publisher: University of Michigan

Authors: Pavlo Prokopovych, Lones Smith

2012
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The Single Deviation Property In Games With Discontinuous Payoffs

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Authors: Pavlo Prokopovych

2015
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Majorized Correspondences And Equilibrium Existence In Discontinuous Games

Publisher: Economic Theory

Authors: Pavlo Prokopovych

2005
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Essays On Repeated Games

Publisher: University of Michigan ProQuest Dissertations & Theses

Authors: Pavlo Prokopovych

2010
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On Equilibrium Existence In Payoff Secure Games

Publisher: Economic Theory

Authors: Pavlo Prokopovych

2010
Working paper

Domain L‑Majorization and Equilibrium Existence in Discontinuous Games

Publisher: SSRN

Authors: Pavlo Prokopovych

2013
Working paper

On Uniform Conditions for the Existence of Mixed Strategy Equilibria

Publisher: SSRN

Authors: Pavlo Prokopovych, Nicholas C. Yannelis

2022
Conference proceedings

Synthesis Of A Passive Unloading Orthosis With Mechanical Feedback

Publisher: International Scientific and Technical Conference “SOURCE OF TECHNOLOGIES OF BIOMEDICAL ENGINEERING”

Authors: Pavlo Prokopovych, Sofia Kovban, Polina Verbytska, Alisa Cherkashina, Ihor Sydorenko