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

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

2008
Journal article

Repeated Games With Present‑Biased Preferences

Publisher: Economic Theory

Authors: Pavlo Prokopovych, Hector Chade, Lones Smith

2013
Working paper

On Uniform Conditions for the Existence of Mixed Strategy Equilibria

Publisher: SSRN

Authors: Pavlo Prokopovych, Nicholas C. Yannelis

2005
Working paper

Essays On Repeated Games

Publisher: University of Michigan ProQuest Dissertations & Theses

Authors: Pavlo Prokopovych

2023
Journal article

On Monotone Pure‑Strategy Bayesian‑Nash Equilibria Of A Generalized Contest

Publisher: Games and Economic Behavior

Authors: Pavlo Prokopovych

2021
Journal article

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

Publisher: Economic Theory

Authors: Pavlo Prokopovych, Nicholas C. Yannelis

2000
Working paper

Stationary Equilibria In A Bargaining Model

Publisher: National University “Kiev-Mohyla Academy”

Authors: Pavlo Prokopovych

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

2012
Journal article

The Single Deviation Property In Games With Discontinuous Payoffs

Publisher: Economic Theory

Authors: Pavlo Prokopovych