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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

We introduce a new approach for computing optimal equilibria via learning in games. It applies to extensive-form settings with any number of players, including mechanism design, information design, and solution concepts such as correlated,…

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

This paper introduces constrained correlated equilibrium, a solution concept combining correlation and coupled constraints in finite non-cooperative games. In the general case of an arbitrary correlation device and coupled constraints in…

Computer Science and Game Theory · Computer Science 2023-09-13 Omar Boufous , Rachid El-Azouzi , Mikaël Touati , Eitan Altman , Mustapha Bouhtou

This paper studies the optimistic variant of Fictitious Play for learning in two-player zero-sum games. While it is known that Optimistic FTRL -- a regularized algorithm with a bounded stepsize parameter -- obtains constant regret in this…

Machine Learning · Computer Science 2026-01-15 John Lazarsfeld , Georgios Piliouras , Ryann Sim , Stratis Skoulakis

This paper presents new families of algorithms for the repeated play of two-agent (near) zero-sum games and two-agent zero-sum stochastic games. For example, the family includes fictitious play and its variants as members. Commonly, the…

Computer Science and Game Theory · Computer Science 2023-11-03 Yuksel Arslantas , Ege Yuceel , Yigit Yalin , Muhammed O. Sayin

The behavior of no-regret learning algorithms is well understood in two-player min-max (i.e, zero-sum) games. In this paper, we investigate the behavior of no-regret learning in min-max games with dependent strategy sets, where the strategy…

Computer Science and Game Theory · Computer Science 2022-04-15 Denizalp Goktas , Jiayi Zhao , Amy Greenwald

Last-iterate behaviors of learning algorithms in repeated two-player zero-sum games have been extensively studied due to their wide applications in machine learning and related tasks. Typical algorithms that exhibit the last-iterate…

Machine Learning · Computer Science 2024-06-18 Yi Feng , Ping Li , Ioannis Panageas , Xiao Wang

We suggest a general method for inferring players' values from their actions in repeated games. The method extends and improves upon the recent suggestion of (Nekipelov et al., EC 2015) and is based on the assumption that players are more…

Computer Science and Game Theory · Computer Science 2017-02-17 Noam Nisan , Gali Noti

Imitating successful behavior is a natural and frequently applied approach to trust in when facing scenarios for which we have little or no experience upon which we can base our decision. In this paper, we consider such behavior in atomic…

Computer Science and Game Theory · Computer Science 2008-10-04 Heiner Ackermann , Petra Berenbrink , Simon Fischer , Martin Hoefer

Learning from repeated play in a fixed two-player zero-sum game is a classic problem in game theory and online learning. We consider a variant of this problem where the game payoff matrix changes over time, possibly in an adversarial…

Machine Learning · Computer Science 2022-02-01 Mengxiao Zhang , Peng Zhao , Haipeng Luo , Zhi-Hua Zhou

The interplay between exploration and exploitation in competitive multi-agent learning is still far from being well understood. Motivated by this, we study smooth Q-learning, a prototypical learning model that explicitly captures the…

Computer Science and Game Theory · Computer Science 2021-06-25 Stefanos Leonardos , Georgios Piliouras , Kelly Spendlove

Player-Compatible Equilibrium (PCE) imposes cross-player restrictions on the magnitudes of the players' "trembles" onto different strategies. These restrictions capture the idea that trembles correspond to deliberate experiments by agents…

Theoretical Economics · Economics 2021-04-13 Drew Fudenberg , Kevin He

We introduce a simple extensive-form algorithm for finding equilibria of two-player, zero-sum games. The algorithm is realization equivalent to a generalized form of Fictitious Play. We compare its performance to that of a similar…

Computer Science and Game Theory · Computer Science 2023-10-17 Tim P. Schulze

Extensive-Form Game (EFG) represents a fundamental model for analyzing sequential interactions among multiple agents and the primary challenge to solve it lies in mitigating sample complexity. Existing research indicated that Double Oracle…

Computer Science and Game Theory · Computer Science 2024-11-05 Xiaohang Tang , Chiyuan Wang , Chengdong Ma , Ilija Bogunovic , Stephen McAleer , Yaodong Yang

We study testable implications of multiple equilibria in discrete games with incomplete information. Unlike de Paula and Tang (2012), we allow the players' private signals to be correlated. In static games, we leverage independence of…

Econometrics · Economics 2020-12-03 Aureo de Paula , Xun Tang

Motivated by alternating learning dynamics in two-player games, a recent work by Cevher et al.(2024) shows that $o(\sqrt{T})$ alternating regret is possible for any $T$-round adversarial Online Linear Optimization (OLO) problem, and left as…

Machine Learning · Computer Science 2025-06-19 Soumita Hait , Ping Li , Haipeng Luo , Mengxiao Zhang

In the literature on game-theoretic equilibrium finding, focus has mainly been on solving a single game in isolation. In practice, however, strategic interactions -- ranging from routing problems to online advertising auctions -- evolve…

Computer Science and Game Theory · Computer Science 2023-03-02 Keegan Harris , Ioannis Anagnostides , Gabriele Farina , Mikhail Khodak , Zhiwei Steven Wu , Tuomas Sandholm

We propose a learning dynamics to model how strategic agents repeatedly play a continuous game while relying on an information platform to learn an unknown payoff-relevant parameter. In each time step, the platform updates a belief estimate…

Multiagent Systems · Computer Science 2023-11-02 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

The analysis of equilibrium points in random games has been of great interest in evolutionary game theory, with important implications for understanding of complexity in a dynamical system, such as its behavioural, cultural or biological…

Analysis of PDEs · Mathematics 2018-07-09 Manh Hong Duong , Hoang Minh Tran , The Anh Han
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