Working paper

Domain L-Majorization and Equilibrium Existence in Discontinuous Games

Year:

2010

Published in:

SSRN
Better-reply secure game
Discontinuous game
Single deviation property
Majorized correspondence
Qualitative game

We study the equilibrium existence problem in normal form and qualitative games in which it is possible to associate with each nonequilibrium point an open neighborhood and a collection of deviation strategies such that, at any nonequilibrium point of the neighborhood, a player can increase her payoff by switching to the deviation strategy designated for her. An equilibrium existence theorem for compact, quasiconcave games with two players is established. We propose a new form of the better-reply security condition, called the strong single deviation property, that covers games whose set of Nash equilibria is not necessarily closed. We introduce domain L-majorized correspondences and use them to study equilibrium existence in qualitative games.

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

2012
Journal article

The Single Deviation Property In Games With Discontinuous Payoffs

Publisher: Economic Theory

Authors: Pavlo Prokopovych