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

2021
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On Nondegenerate Equilibria Of Double Auctions With Several Buyers And A Price Floor

Publisher: Economic Theory

Authors: Pavlo Prokopovych, Nicholas C. Yannelis

2019
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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

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
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Majorized Correspondences And Equilibrium Existence In Discontinuous Games

Publisher: Economic Theory

Authors: Pavlo Prokopovych

2005
Working paper

Essays On Repeated Games

Publisher: University of Michigan ProQuest Dissertations & Theses

Authors: Pavlo Prokopovych

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