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A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

Machine Learning · Computer Science 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

In the context of multi-player, general-sum games, there is an increasing interest in solution concepts modeling some form of communication among players, since they can lead to socially better outcomes with respect to Nash equilibria, and…

Computer Science and Game Theory · Computer Science 2019-10-15 Andrea Celli , Alberto Marchesi , Tommaso Bianchi , Nicola Gatti

Characterizing the performance of no-regret dynamics in multi-player games is a foundational problem at the interface of online learning and game theory. Recent results have revealed that when all players adopt specific learning algorithms,…

Computer Science and Game Theory · Computer Science 2023-11-28 Ioannis Anagnostides , Alkis Kalavasis , Tuomas Sandholm , Manolis Zampetakis

We formulate the novel class of contextual games, a type of repeated games driven by contextual information at each round. By means of kernel-based regularity assumptions, we model the correlation between different contexts and game…

Computer Science and Game Theory · Computer Science 2021-07-15 Pier Giuseppe Sessa , Ilija Bogunovic , Andreas Krause , Maryam Kamgarpour

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

We analyze the problem of computing a correlated equilibrium that optimizes some objective (e.g., social welfare). Papadimitriou and Roughgarden [2008] gave a sufficient condition for the tractability of this problem; however, this…

Computer Science and Game Theory · Computer Science 2011-09-29 Albert Xin Jiang , Kevin Leyton-Brown

Learning and equilibrium computation in games are fundamental problems across computer science and economics, with applications ranging from politics to machine learning. Much of the work in this area revolves around a simple algorithm…

Computer Science and Game Theory · Computer Science 2022-07-19 Daniel Beaglehole , Max Hopkins , Daniel Kane , Sihan Liu , Shachar Lovett

The Colonel Blotto game is a renowned resource allocation problem with a long-standing literature in game theory (almost 100 years). However, its scope of application is still restricted by the lack of studies on the incomplete-information…

Computer Science and Game Theory · Computer Science 2019-09-12 Dong Quan Vu , Patrick Loiseau , Alonso Silva

Data mining and knowledge discovery are two important growing research fields in the last two decades due to the abundance of data collected from various sources. The exponentially growing volumes of generated data urge the development of…

Computer Science and Game Theory · Computer Science 2020-07-13 Dalila Kessira , Mohand-Tahar Kechadi

We propose efficient no-regret learning dynamics and ellipsoid-based methods for computing linear correlated equilibria$\unicode{x2014}$a relaxation of correlated equilibria and a strengthening of coarse correlated…

Computer Science and Game Theory · Computer Science 2024-12-31 Constantinos Daskalakis , Gabriele Farina , Maxwell Fishelson , Charilaos Pipis , Jon Schneider

We study the problem of computing optimal correlated equilibria (CEs) in infinite-horizon multi-player stochastic games, where correlation signals are provided over time. In this setting, optimal CEs require history-dependent policies; this…

Computer Science and Game Theory · Computer Science 2025-06-10 Jiarui Gan , Rupak Majumdar

We study the problem of computing Stackelberg equilibria Stackelberg games whose underlying structure is in congestion games, focusing on the case where each player can choose a single resource (a.k.a. singleton congestion games) and one of…

Computer Science and Game Theory · Computer Science 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

A recent emerging trend in the literature on learning in games has been concerned with providing faster learning dynamics for correlated and coarse correlated equilibria in normal-form games. Much less is known about the significantly more…

Computer Science and Game Theory · Computer Science 2022-02-14 Ioannis Anagnostides , Gabriele Farina , Christian Kroer , Andrea Celli , Tuomas Sandholm

We study the iteration complexity of decentralized learning of approximate correlated equilibria in incomplete information games. On the negative side, we prove that in $\mathit{extensive}$-$\mathit{form}$ $\mathit{games}$, assuming…

Computer Science and Game Theory · Computer Science 2024-06-05 Binghui Peng , Aviad Rubinstein

A celebrated result in the interface of online learning and game theory guarantees that the repeated interaction of no-regret players leads to a coarse correlated equilibrium (CCE) -- a natural game-theoretic solution concept. Despite the…

Computer Science and Game Theory · Computer Science 2024-11-05 Ioannis Anagnostides , Alkis Kalavasis , Tuomas Sandholm

The computational study of equilibria involving constraints on players' strategies has been largely neglected. However, in real-world applications, players are usually subject to constraints ruling out the feasibility of some of their…

Computer Science and Game Theory · Computer Science 2024-08-08 Martino Bernasconi , Matteo Castiglioni , Alberto Marchesi , Francesco Trovò , Nicola Gatti

Correlated equilibrium generalizes Nash equilibrium by allowing a central coordinator to guide players' actions through shared recommendations, similar to how routing apps guide drivers. We investigate how a coordinator can learn a…

Computer Science and Game Theory · Computer Science 2025-09-16 Zhenlong Fang , Aryan Deshwal , Yue Yu

The existence of simple uncoupled no-regret learning dynamics that converge to correlated equilibria in normal-form games is a celebrated result in the theory of multi-agent systems. Specifically, it has been known for more than 20 years…

Computer Science and Game Theory · Computer Science 2021-05-28 Gabriele Farina , Andrea Celli , Alberto Marchesi , Nicola Gatti

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

Coalitional games are mathematical models suited to analyze scenarios where players can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. A fundamental problem for coalitional games is to single…

Computer Science and Game Theory · Computer Science 2013-07-19 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello
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