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

2014
Journal article

On The Existence Of Mixed Strategy Nash Equilibria

Publisher: Mathematical Economics

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

2009
Working paper

A Short Proof of Reny's Existence Theorem for Payoff Secure Games

Publisher: SSRN

Authors: Pavlo Prokopovych

2008
Journal article

Repeated Games With Present‑Biased Preferences

Publisher: Economic Theory

Authors: Pavlo Prokopovych, Hector Chade, Lones Smith