Journal ArticleDOI
Existence and upper hemicontinuity of equilibrium distributions of anonymous games with discontinuous payoffs
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In this article, the existence of Nash equilibrium distributions and the closed graph property of the equilibrium distribution correspondence were proved for anonymous games with compact metric action spaces and payoff functions which are upper semicontinuous but not necessarily lower semicointinuous, under the supremum norm topology on the space of payoff functions and a tightness assumption on the game.About:
This article is published in Journal of Mathematical Economics.The article was published on 1996-01-01. It has received 23 citations till now. The article focuses on the topics: Epsilon-equilibrium & Symmetric equilibrium.read more
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Non-Cooperative Games with Many Players
M. Ali Khan,Yeneng Sun +1 more
TL;DR: In this article, the existence of pure-strategy Nash equilibria in games with an atomless continuum of players, each with an action set that is not necessarily finite.
Lectures on Young measure theory and its applications in economics
TL;DR: In this article, the authors present a transfer of the classical theory of narrow convergence from the domain of probabilities to the more general domain of transition probabilities by means of Kconvergence and an associated key Prohorovtype extension of Komlos theorem Theorem, which applies much more generally than displayed here to certain classes of abstractvalued scalarly integrable functions.
Book ChapterDOI
Chapter 46 Non-cooperative games with many players
M. Ali Khan,Yeneng Sun +1 more
TL;DR: In this article, the existence of pure-strategy Nash equilibria in games with an atomless continuum of players, each with an action set that is not necessarily finite.
Journal ArticleDOI
A unifying pair of Cournot-Nash equilibrium existence results
TL;DR: A tandem pair, consisting of a mixed and a pure Cournot–Nash equilibrium existence result, is presented, which provides a unifying pair of Cournot-Nash existence results that goes considerably beyond the central result of E. Balder.
Journal ArticleDOI
Large Games with a Bio-Social Typology
TL;DR: This work addresses dissonance arising from the use of a Lebesgue interval for playerʼs names by showing a saturated probability space as being a necessary and sufficient name-space for the existence and upper hemi-continuity of pure-strategy Nash equilibria in large games with traits.
References
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Book
Probability measures on metric spaces
TL;DR: The Borel subsets of a metric space Probability measures in the metric space and probability measures in a metric group Probability measure in locally compact abelian groups The Kolmogorov consistency theorem and conditional probability probabilistic probability measures on $C[0, 1]$ and $D[0-1]$ Bibliographical notes Bibliography List of symbols Author index Subject index as mentioned in this paper
Book
Convex analysis and measurable multifunctions
Charles Castaing,Michel Valadier +1 more
TL;DR: In this paper, the authors consider convex functions with topological properties of the profile of a convex multifunction with compact convex values and prove the compactness theorems of measurable selections and integral representation theorem.
Journal ArticleDOI
The Existence of Equilibrium in Discontinuous Economic Games, I: Theory
Eric Maskin,Partha Dasgupta +1 more
TL;DR: In this article, the existence of Nash equilibrium in games where agents' payoff functions are discontinuous is investigated, and it is shown that the payoff functions in mildly modified versions of these constructs exhibit two weaker forms of continuity which, together with the requirement of quasi-concavity, suffice for the presence of an equilibrium.
Book
Introduction to Topology and Modern Analysis
TL;DR: The purpose is to illuminate the meanings of these words "continuity and linearity" and their relation to each other.