Journal article

On Equilibrium Existence In Payoff Secure Games

Year:

2010

Published in:

Economic Theory
Discontinuous game
Payoff security
Transfer lower semicontinuity
Approximate Nash equilibrium
Reny’s theorem

We propose a single framework for studying the existence of approximate and exact pure strategy equilibria in payoff secure games. Central to the framework is the notion of a multivalued mapping with the local intersection property. By means of the Fan-Browder collective fixed point theorem, we first show an approximate equilibrium existence theorem that covers a number of known games. Then a short proof of Reny’s (Econometrica 67:1029–1056, 1999) equilibrium existence theorem is provided for payoff secure games with metrizable strategy spaces. We also give a simple proof of Reny’s theorem in its general form for metric games in an appendix for the sake of completeness.

Other publications by

16 publications found

2005
Working paper

Essays On Repeated Games

Publisher: University of Michigan ProQuest Dissertations & Theses

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

2014
Journal article

On The Existence Of Mixed Strategy Nash Equilibria

Publisher: Mathematical Economics

Authors: Pavlo Prokopovych, Nicholas C. Yannelis

2003
Working paper

Subgame Perfect Correlated Equilibria in Repeated Games

Publisher: University of Michigan

Authors: Pavlo Prokopovych, Lones Smith

2012
Journal article

The Single Deviation Property In Games With Discontinuous Payoffs

Publisher: Economic Theory

Authors: Pavlo Prokopovych

2015
Journal article

Majorized Correspondences And Equilibrium Existence In Discontinuous Games

Publisher: Economic Theory

Authors: Pavlo Prokopovych

2017
Journal article

On Strategic Complementarities In Discontinuous Games With Totally Ordered Strategies

Publisher: Mathematical Economics

Authors: Pavlo Prokopovych, Nicholas C. Yannelis

2019
Journal article

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

Publisher: Economic Theory

Authors: Pavlo Prokopovych, Nicholas C. Yannelis