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We investigate first-order notions of correlated equilibria in smooth games, in which players do not incur any regret against small modifications of their actions prescribed by some vector field. We define two such notions, based on local…

Computer Science and Game Theory · Computer Science 2025-11-05 Mete Şeref Ahunbay

In the context of simple finite-state discrete time systems, we introduce a generalization of mean field game solution, called correlated solution, which can be seen as the mean field game analogue of a correlated equilibrium. Our notion of…

Optimization and Control · Mathematics 2021-07-12 Luciano Campi , Markus Fischer

Computing Nash equilibria of zero-sum games in classical and quantum settings is extensively studied. For general-sum games, computing Nash equilibria is PPAD-hard and the computing of a more general concept called correlated equilibria has…

Quantum Physics · Physics 2025-10-21 Tongyang Li , Xinzhao Wang , Yexin Zhang

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

Computer Science and Game Theory · Computer Science 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

Coordination games describe social or economic interactions in which the adoption of a common strategy has a higher payoff. They are classically used to model the spread of conventions, behaviors, and technologies in societies. Here we…

Computer Science and Game Theory · Computer Science 2008-12-02 Andrea Montanari , Amin Saberi

In this paper, we investigate the robustness of stationary mean-field equilibria in the presence of model uncertainties, specifically focusing on infinite-horizon discounted cost functions. To achieve this, we initially establish…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Uğur Aydın , Naci Saldi

We study linear quadratic dynamic games where players are uncertain about each other's control policies or goals and consequently seek to be strategically robust. Building on recent work on strategically robust and risk-averse game theory,…

Optimization and Control · Mathematics 2026-04-27 Boris Velasevic , Nicolas Lanzetti , Eric Mazumdar

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

This paper deals with an extension of the concept of correlated strategies to Markov stopping games. The Nash equilibrium approach to solving nonzero-sum stopping games may give multiple solutions. An arbitrator can suggest to each player…

Optimization and Control · Mathematics 2020-11-23 David M. Ramsey , Krzysztof Szajowski

Blackwell's approachability is a framework where two players, the Decision Maker and the Environment, play a repeated game with vector-valued payoffs. The goal of the Decision Maker is to make the average payoff converge to a given set…

Machine Learning · Computer Science 2021-09-08 Joon Kwon

Two-team zero-sum games are one of the most important paradigms in game theory. In this paper, we focus on finding an unexploitable equilibrium in large team games. An unexploitable equilibrium is a worst-case policy, where members in the…

Computer Science and Game Theory · Computer Science 2024-03-04 Naming Liu , Mingzhi Wang , Youzhi Zhang , Yaodong Yang , Bo An , Ying Wen

We tackle the problem of learning equilibria in simulation-based games. In such games, the players' utility functions cannot be described analytically, as they are given through a black-box simulator that can be queried to obtain noisy…

Computer Science and Game Theory · Computer Science 2020-02-26 Alberto Marchesi , Francesco Trovò , Nicola Gatti

We study the problem of finding optimal correlated equilibria of various sorts in extensive-form games: normal-form coarse correlated equilibrium (NFCCE), extensive-form coarse correlated equilibrium (EFCCE), and extensive-form correlated…

Computer Science and Game Theory · Computer Science 2025-01-28 Brian Zhang , Gabriele Farina , Andrea Celli , Tuomas Sandholm

We present a new model of incomplete information games without private information in which the players use a distributionally robust optimization approach to cope with the payoff uncertainty. With some specific restrictions, we show that…

Computer Science and Game Theory · Computer Science 2016-10-04 Nicolas Loizou

Almost all of the work in graphical models for game theory has mirrored previous work in probabilistic graphical models. Our work considers the opposite direction: Taking advantage of recent advances in equilibrium computation for…

Artificial Intelligence · Computer Science 2017-10-10 Luis E. Ortiz , Boshen Wang , Ze Gong

We study the inefficiency of equilibria for various classes of games when players are (partially) altruistic. We model altruistic behavior by assuming that player i's perceived cost is a convex combination of 1-\alpha_i times his direct…

Computer Science and Game Theory · Computer Science 2013-02-21 Po-An Chen , Bart de Keijzer , David Kempe , Guido Schaefer

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

Computer Science and Game Theory · Computer Science 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

Correlated equilibria arise naturally when agents communicate or rely on intermediaries such as recommendation systems. We study when a given Nash equilibrium can be improved within the set of correlated equilibria for general objectives.…

Theoretical Economics · Economics 2026-05-01 Kirill Rudov , Fedor Sandomirskiy , Leeat Yariv

In this paper, we study the class of games known as hidden-role games in which players are assigned privately to teams and are faced with the challenge of recognizing and cooperating with teammates. This model includes both popular…

Computer Science and Game Theory · Computer Science 2026-03-03 Luca Carminati , Brian Hu Zhang , Gabriele Farina , Nicola Gatti , Tuomas Sandholm

We consider concurrent games played on graphs. At every round of the game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-12-18 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger