Nash Equilibrium in Discontinuous Games | Annual Reviews Menu Publications AZ Journal
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Game theory is a field that studies interactive decisions. On the one hand, it builds models
that represent situations where several entities or players make choices, and where this …

We provide a pure Nash equilibrium existence theorem for games with discontinuous
payoffs whose hypotheses are in a number of ways weaker than those of the theorem of …

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

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 …

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 …

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 …

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 …

The book aims at describing the recent developments in the existence and stability of Nash
equilibrium. The two topics are central to game theory and economics and have been …

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 …