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This paper studies the equilibrium properties of the ``obvious strategy profile'' in large finite-player games. Each player in such a strategy profile simply adopts a randomized strategy as she would have used in a symmetric equilibrium of…

Theoretical Economics · Economics 2025-08-20 Enxian Chen Bin Wu Hanping Xu

We consider extensive games with perfect information with well-founded game trees and study the problems of existence and of characterization of the sets of subgame perfect equilibria in these games. We also provide such characterizations…

Computer Science and Game Theory · Computer Science 2021-06-23 Krzysztof R. Apt , Sunil Simon

Game theory has emerged as a powerful framework for modeling a large range of multi-agent scenarios. Many algorithmic solutions require discrete, finite games with payoffs that have a closed-form specification. In contrast, many real-world…

Computer Science and Game Theory · Computer Science 2018-06-13 Abdullah Al-Dujaili , Erik Hemberg , Una-May O'Reilly

We present an algorithm for computing evolutionarily stable strategies (ESSs) in symmetric perfect-recall extensive-form games of imperfect information. Our main algorithm is for two-player games, and we describe how it can be extended to…

Computer Science and Game Theory · Computer Science 2025-12-15 Sam Ganzfried

Information asymmetry in games enables players with the information advantage to manipulate others' beliefs by strategically revealing information to other players. This work considers a double-sided information asymmetry in a Bayesian…

Computer Science and Game Theory · Computer Science 2023-08-29 Tao Li , Quanyan Zhu

We consider in discrete time, a general class of sequential stochastic dynamic games with asymmetric information with the following features. The underlying system has Markovian dynamics controlled by the agents' joint actions. Each agent's…

Multiagent Systems · Computer Science 2023-01-16 Yi Ouyang , Hamidreza Tavafoghi , Demosthenis Teneketzis

We present a functional framework for automated mechanism design based on a two-stage game model of strategic interaction between the designer and the mechanism participants, and apply it to several classes of two-player infinite games of…

Computer Science and Game Theory · Computer Science 2012-06-26 Yevgeniy Vorobeychik , Daniel Reeves , Michael P. Wellman

This paper examines the convergence of no-regret learning in Cournot games with continuous actions. Cournot games are the essential model for many socio-economic systems, where players compete by strategically setting their output quantity.…

Computer Science and Game Theory · Computer Science 2020-02-12 Yuanyuan Shi , Baosen Zhang

This work considers a novel information design problem and studies how the craft of payoff-relevant environmental signals solely can influence the behaviors of intelligent agents. The agents' strategic interactions are captured by an…

Multiagent Systems · Computer Science 2021-02-16 Tao Zhang , Quanyan Zhu

We consider two-player non-zero-sum linear-quadratic Gaussian games in which both players aim to minimize a quadratic cost function while controlling a linear and stochastic state process {using linear policies}. The system is partially…

Optimization and Control · Mathematics 2023-08-01 Ben Hambly , Renyuan Xu , Huining Yang

We extend the concept of meta-Nash equilibrium, introduced by Eshaghi Gordji and Bagha [2026] for complete-information games, to environments with incomplete information. We define a meta-Bayesian Nash equilibrium as a profile of…

Theoretical Economics · Economics 2026-05-19 Madjid Eshaghi Gordji , Esmaiel Abounoori , Mohamadali Berahman

This article studies the value of information in route choice decisions when a fraction of players have access to high accuracy information about traffic incidents relative to others. To model such environments, we introduce a Bayesian…

Computer Science and Game Theory · Computer Science 2016-03-30 Jeffrey Liu , Saurabh Amin , Galina Schwartz

We investigate two notions of correlated equilibrium for extensive-form games: extensive-form correlated equilibrium (EFCE) and behavioral correlated equilibrium (BCE). We show that the two are outcome-equivalent, in the sense that every…

Computer Science and Game Theory · Computer Science 2024-02-09 Brian Hu Zhang , Tuomas Sandholm

For dynamic situations where the evolution of a player's state is influenced by his own action as well as other players' states and actions, we show that equilibria derived for nonatomic games (NGs) can be used by their large finite…

Economics · Quantitative Finance 2017-04-04 Jian Yang

We give a simple proof of the well-known result that the marginal strategies of a coarse correlated equilibrium form a Nash equilibrium in two-player zero-sum games. A corollary of this fact is that no-external-regret learning algorithms…

Computer Science and Game Theory · Computer Science 2023-10-18 Revan MacQueen

This paper studies the last-iterate convergence properties of the exponential weights algorithm with constant learning rates. We consider a repeated interaction in discrete time, where each player uses an exponential weights algorithm…

Artificial Intelligence · Computer Science 2024-07-10 Maurizio d'Andrea , Fabien Gensbittel , Jérôme Renault

Advanced Persistent Threats (APTs) have recently emerged as a significant security challenge for a cyber-physical system due to their stealthy, dynamic and adaptive nature. Proactive dynamic defenses provide a strategic and holistic…

Computer Science and Game Theory · Computer Science 2019-11-11 Linan Huang , Quanyan Zhu

We propose a refinement of correlated equilibrium based on mediator errors, called correlated perfect equilibrium (CPE). In finite games, the set of CPE is nonempty and forms a finite union of convex sets. Like perfect equilibrium, a CPE…

Theoretical Economics · Economics 2025-10-10 Wanying Huang , J. Jude Kline , Priscilla Man

We establish the existence and uniqueness of distributed equilibria to possibly nonsymmetric $N$ player differential games with interactions through controls under displacement semimonotonicity assumptions. Surprisingly, the nonseparable…

Analysis of PDEs · Mathematics 2026-04-01 Hei Jie Lam , Alpár R. Mészáros

Non-cooperative dynamic game theory provides a principled approach to modeling sequential decision-making among multiple noncommunicative agents. A key focus has been on finding Nash equilibria in two-agent zero-sum dynamic games under…

Computer Science and Game Theory · Computer Science 2025-03-20 Kushagra Gupta , Ross Allen , David Fridovich-Keil , Ufuk Topcu