Journal article

The Single Deviation Property In Games With Discontinuous Payoffs

Year:

2012

Published in:

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

We study equilibrium existence in normal form games in which it is possible to associate with each nonequilibrium point an open neighborhood, a set of players, and a collection of deviation strategies, such that at any nonequilibrium point of the neighborhood, a player from the set 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 as an application of a general equilibrium existence result for qualitative games. A new form of the better-reply security condition, called the strong single deviation property, is proposed.

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