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Open AccessJournal ArticleDOI

Zero-sum games involving teams against teams: Existence of equilibria, and comparison and regularity in information

Ian Hogeboom-Burr, +1 more
- 24 Jun 2022 - 
- Vol. 172, pp 105454-105454
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TLDR
In this paper , an existence result for saddle-point equilibria in zero-sum games involving teams against teams when common randomness is assumed to be available in each team with an analysis on conditions for compactness of strategic team measures is presented.
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This article is published in Systems & Control Letters.The article was published on 2022-06-24 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Computer science & Zero (linguistics).

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Journal ArticleDOI

Zero-Sum Games between Mean-Field Teams: A Common Information and Reachability based Analysis

TL;DR: In this paper , a zero-sum mean-field team game framework is proposed, where the team-level interactions are captured as a zero sum game while the dynamics within each team is formulated as a mean field team problem.

Nash Equilibria for Exchangeable Team against Team Games, their Mean Field Limit, and Role of Common Randomness

TL;DR: In this paper , the authors study stochastic mean-aligned games with large number of teams and in-in-the-time number of decision makers, and establish the existence of a Nash equilibrium that is exchangeable among decision makers within each team and also independently randomized.
Proceedings ArticleDOI

Nash Equilibria for Exchangeable Team against Team Games and their Mean Field Limit

TL;DR: In this article , the authors study stochastic mean-field games among finite number of teams with large finite as well as infinite numbers of decision makers and establish the existence of a Nash equilibrium and show that a NE exhibits exchangeability in the finite DM regime and symmetry in the infinite one.
Proceedings ArticleDOI

Nash Equilibria for Exchangeable Team against Team Games and their Mean Field Limit

TL;DR: In this article , the authors study stochastic mean-field games among finite number of teams with large finite as well as infinite numbers of decision makers and establish the existence of a Nash equilibrium and show that a NE exhibits exchangeability in the finite DM regime and symmetry in the infinite one.
References
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TL;DR: In this paper, a theorem of Bell, proving that certain predictions of quantum mechanics are inconsistent with the entire family of local hidden-variable theories, is generalized so as to apply to realizable experiments.
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Markov Processes: Characterization and Convergence

TL;DR: In this paper, the authors present a flowchart of generator and Markov Processes, and show that the flowchart can be viewed as a branching process of a generator.
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Convergence of probability measures

TL;DR: Weakconvergence methods in metric spaces were studied in this article, with applications sufficient to show their power and utility, and the results of the first three chapters are used in Chapter 4 to derive a variety of limit theorems for dependent sequences of random variables.
Journal ArticleDOI

Minimax Theorems

TL;DR: Come with us to read a new book that is coming recently, this is a new coming book that many people really want to read will you be one of them?
Journal ArticleDOI

Correlated Equilibrium as an Expression of Bayesian Rationality

Robert J. Aumann
- 01 Jan 1987 - 
TL;DR: In this article, the authors make use of the common prior assumption that differences in probability assessments by different individuals are due to the different information that they have (where "information" may be interpreted broadly, to include experience, upbringing, and genetic makeup).
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