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While Online Gradient Descent and other no-regret learning procedures are known to efficiently converge to a coarse correlated equilibrium in games where each agent's utility is concave in their own strategy, this is not the case when…

Computer Science and Game Theory · Computer Science 2025-04-22 Yang Cai , Constantinos Daskalakis , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng

We study multiplayer turn-based games played on a finite directed graph such that each player aims at satisfying an omega-regular Boolean objective. Instead of the well-known notions of Nash equilibrium (NE) and subgame perfect equilibrium…

Computer Science and Game Theory · Computer Science 2018-09-12 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin

Pseudo-games are a natural and well-known generalization of normal-form games, in which the actions taken by each player affect not only the other players' payoffs, as in games, but also the other players' strategy sets. The solution…

Computer Science and Game Theory · Computer Science 2022-10-20 Denizalp Goktas , Amy Greenwald

A central task of artificial intelligence is the design of artificial agents that act towards specified goals in partially observed environments. Since such environments frequently include interaction over time with other agents with their…

Computer Science and Game Theory · Computer Science 2012-05-14 Miroslav Dudik , Geoffrey Gordon

Colonel Blotto games with discrete strategy spaces effectively illustrate the intricate nature of multidimensional strategic reasoning. This paper studies the equilibrium set of such games where, in line with prior experimental work, the…

Computer Science and Game Theory · Computer Science 2024-03-28 Christian Ewerhart , Stanisław Kaźmierowski

We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players make their choices knowing only the average payoffs from…

Optimization and Control · Mathematics 2018-05-16 Tadeusz Kufel , Sławomir Plaskacz , Joanna Zwierzchowska

In a game theoretic framework, we study energy markets with a continuum of homogenous producers who produce energy from an exhaustible resource such as oil. Each producer simultaneously optimizes production rate that drives her revenues, as…

Economics · Quantitative Finance 2017-10-17 Michael Ludkovski , Xuwei Yang

We construct subgame-perfect equilibria with mixed strategies for symmetric stochastic timing games with arbitrary strategic incentives. The strategies are qualitatively different for local first- or second-mover advantages, which we…

Optimization and Control · Mathematics 2018-05-23 Jan-Henrik Steg

Nash equilibrium (NE) is a widely adopted solution concept in game theory due to its stability property. However, we observe that the NE strategy might not always yield the best results, especially against opponents who do not adhere to NE…

Artificial Intelligence · Computer Science 2024-08-13 Shuxin Li , Chang Yang , Youzhi Zhang , Pengdeng Li , Xinrun Wang , Xiao Huang , Hau Chan , Bo An

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

Predatory pricing -- where a firm strategically lowers prices to undermine competitors -- is a contentious topic in dynamic oligopoly theory, with scholars debating practical relevance and the existence of predatory equilibria. Although…

Computer Science and Game Theory · Computer Science 2025-11-03 Fabian Raoul Pieroth , Ole Petersen , Martin Bichler

An evolutionarily stable strategy (ESS) is an equilibrium strategy that is immune to invasions by rare alternative (``mutant'') strategies. Unlike Nash equilibria, ESS do not always exist in finite games. In this paper we address the…

Probability · Mathematics 2022-09-22 Sergiu Hart , Yosef Rinott , Benjamin Weiss

No-regret learning dynamics play a central role in game theory, enabling decentralized convergence to equilibrium for concepts such as Coarse Correlated Equilibrium (CCE) or Correlated Equilibrium (CE). In this work, we improve the…

Computer Science and Game Theory · Computer Science 2025-11-05 Asrin Efe Yorulmaz , Tamer Başar

Off-policy evaluation (OPE) is the problem of evaluating new policies using historical data obtained from a different policy. In the recent OPE context, most studies have focused on single-player cases, and not on multi-player cases. In…

Machine Learning · Computer Science 2020-12-25 Kenshi Abe , Yusuke Kaneko

Conventional financial strategy evaluation relies on isolated backtests in static environments. Such evaluations assess each policy independently, overlook correlations and interactions, and fail to explain why strategies ultimately persist…

Physics and Society · Physics 2026-02-03 Mingxi Zou , Jiaxiang Chen , Aotian Luo , Jingyi Dai , Chi Zhang , Dongning Sun , Zenglin Xu

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

Computer Science and Game Theory · Computer Science 2026-05-28 Bharat Gangwani , Arunesh Sinha

Games with continuous strategy sets arise in several machine learning problems (e.g. adversarial learning). For such games, simple no-regret learning algorithms exist in several cases and ensure convergence to coarse correlated equilibria…

Computer Science and Game Theory · Computer Science 2019-03-05 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause

We consider 2-player stochastic games with perfectly observed actions, and study the limit, as the discount factor goes to one, of the equilibrium payoffs set. In the usual setup where current states are observed by the players, we show…

Optimization and Control · Mathematics 2014-12-11 Jérôme Renault , Bruno Ziliotto

Exploration-exploitation is a powerful and practical tool in multi-agent learning (MAL), however, its effects are far from understood. To make progress in this direction, we study a smooth analogue of Q-learning. We start by showing that…

Computer Science and Game Theory · Computer Science 2020-12-16 Stefanos Leonardos , Georgios Piliouras

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