Journal ArticleDOI
Comments on the existence of equilibrium distributions
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In this article, an equilibrium distribution existence result of Khan and Rustichini is extended following a recent, general approach of Balder (economic theory, 1991, 1, 339-354; International Journal of Game Theory, 1995, 24, 79-94).About:
This article is published in Journal of Mathematical Economics.The article was published on 1996-01-01. It has received 15 citations till now. The article focuses on the topics: Symmetric equilibrium & Solution concept.read more
Citations
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Journal ArticleDOI
Convergence of Probability Measures
TL;DR: Convergence of Probability Measures as mentioned in this paper is a well-known convergence of probability measures. But it does not consider the relationship between probability measures and the probability distribution of probabilities.
Posted Content
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 approach to existence of Nash equilibria
TL;DR: In this paper, the existence of Nash equilibria in games with at most countably many players, Cournot-Nash equilibrium distributions for large, anonymous games, and Nash equilibrium (both mixed and pure) for continuum games are unified.
References
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Journal ArticleDOI
Convergence of Probability Measures
TL;DR: Convergence of Probability Measures as mentioned in this paper is a well-known convergence of probability measures. But it does not consider the relationship between probability measures and the probability distribution of probabilities.
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
Convergence of Probability Measures
TL;DR: Weak Convergence in Metric Spaces as discussed by the authors is one of the most common modes of convergence in metric spaces, and it can be seen as a form of weak convergence in metric space.