Working paper

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

Year:

2009

Published in:

SSRN
Discontinuous game
Payoff security
Transfer lower semicontinuity
Approximate Nash equilibrium
Reny's theorem

A short proof of Reny (1999)'s equilibrium existence theorem for payoff secure games is provided. At the heart of the proof lies the concept of a multivalued mapping with the local intersection property. By means of the Fan-Browder collective fixed-point theorem, we show an approximate equilibrium existence theorem which covers a number of known games. Reny's theorem follows from it straightforwardly.

Other publications by

16 publications found

2010
Journal article

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

2014
Journal article

On The Existence Of Mixed Strategy Nash Equilibria

Publisher: Mathematical Economics

Authors: Pavlo Prokopovych, Nicholas C. Yannelis