Nash equilibrium in discontinuous games

PJ Reny - Annual Review of Economics, 2020 - annualreviews.org
Nash Equilibrium in Discontinuous Games | Annual Reviews Menu Publications AZ Journal
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Nash equilibrium in discontinuous games

PJ Reny - Economic Theory, 2016 - Springer
We provide several generalizations of the various equilibrium existence results in Reny
(Econometrica 67: 1029–1056, 1999), Barelli and Meneghel (Econometrica 81: 813–824 …

A note on the equilibrium existence problem in discontinuous games

P Barelli, I Meneghel - Econometrica, 2013 - Wiley Online Library
In this note, we prove an equilibrium existence theorem for games with discontinuous
payoffs and convex and compact strategy spaces. It generalizes the classical result of Reny …

Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences

W He, NC Yannelis - Economic Theory, 2016 - Springer
We generalize the classical equilibrium existence theorems by dispensing with the
assumption of continuity of preferences. Our new existence results allow us to dispense with …

On the existence of Nash equilibrium in discontinuous games

R Nessah, G Tian - Economic Theory, 2016 - Springer
This paper offers an equilibrium existence theorem in discontinuous games. We introduce a
new notion of very weak continuity, called quasi-weak transfer continuity that guarantees the …

Existence of Nash equilibrium in ordinal games with discontinuous preferences

G Carmona, K Podczeck - Economic Theory, 2016 - Springer
We provide conditions guaranteeing the existence of Nash equilibrium in games in which
players' preferences can be arbitrary binary relations. Our main result generalizes Reny's …

On the existence of mixed strategy Nash equilibria

P Prokopovych, NC Yannelis - Journal of mathematical economics, 2014 - Elsevier
The focus of this paper is on developing verifiable sufficient conditions for the existence of a
mixed strategy Nash equilibrium for both diagonally transfer continuous and better-reply …

Existence of equilibria in discontinuous Bayesian games

W He, NC Yannelis - Journal of Economic Theory, 2016 - Elsevier
We provide easily-verifiable sufficient conditions on the primitives of a Bayesian game to
guarantee the existence of a behavioral-strategy Bayes–Nash equilibrium. We allow players' …

Some generalizations of Zhao's theorem: hybrid solutions and weak hybrid solutions for games with nonordered preferences

Z Yang, GX Yuan - Journal of Mathematical Economics, 2019 - Elsevier
Abstract Inspired by Zhao (1992), we first define the hybrid solution of games with
nonordered preferences and prove its existence theorem in Hausdorff topological vector …

Equilibrium existence in games: slight single deviation property and Ky Fan minimax inequality

V Scalzo - Journal of Mathematical Economics, 2019 - Elsevier
In this paper, we exhibit a relation between the Nash equilibrium existence problem in
ordinal games and the Ky Fan minimax inequality. In this way, we obtain new sufficient …