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Unlike normal-form games, where correlated equilibria have been studied for more than 45 years, extensive-form correlation is still generally not well understood. Part of the reason for this gap is that the sequential nature of…

Computer Science and Game Theory · Computer Science 2020-09-10 Gabriele Farina , Tuomas Sandholm

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

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 initiate the study of trembling-hand perfection in sequential (i.e., extensive-form) games with correlation. We introduce the extensive-form perfect correlated equilibrium (EFPCE) as a refinement of the classical extensive-form…

Computer Science and Game Theory · Computer Science 2020-12-14 Alberto Marchesi , Nicola Gatti

Coarse correlation models strategic interactions of rational agents complemented by a correlation device, that is a mediator that can recommend behavior but not enforce it. Despite being a classical concept in the theory of normal-form…

Computer Science and Game Theory · Computer Science 2019-08-28 Gabriele Farina , Tommaso Bianchi , Tuomas Sandholm

While Nash equilibrium in extensive-form games is well understood, very little is known about the properties of extensive-form correlated equilibrium (EFCE), both from a behavioral and from a computational point of view. In this setting,…

Computer Science and Game Theory · Computer Science 2019-10-29 Gabriele Farina , Chun Kai Ling , Fei Fang , Tuomas Sandholm

A major open question in algorithmic game theory is whether normal-form correlated equilibria (NFCE) can be computed efficiently in succinct games such as extensive-form games [DFF+25,6PR24,FP23,HvS08,VSF08,PR08]. Motivated by this…

Computer Science and Game Theory · Computer Science 2025-07-16 Vincent Cheval , Florian Horn , Soumyajit Paul , Mahsa Shirmohammadi

Imperfect-Information Extensive-Form Games (IIEFGs) is a prevalent model for real-world games involving imperfect information and sequential plays. The Extensive-Form Correlated Equilibrium (EFCE) has been proposed as a natural solution…

Machine Learning · Computer Science 2022-05-17 Ziang Song , Song Mei , Yu Bai

We investigate the computation of equilibria in extensive-form games where ex ante correlation is possible, focusing on correlated equilibria requiring the least amount of communication between the players and the mediator. Motivated by the…

Computer Science and Game Theory · Computer Science 2019-01-21 Andrea Celli , Stefano Coniglio , Nicola Gatti

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

Correlated Equilibrium is a solution concept that is more general than Nash Equilibrium (NE) and can lead to outcomes with better social welfare. However, its natural extension to the sequential setting, the \textit{Extensive Form…

Computer Science and Game Theory · Computer Science 2023-01-02 Chun Kai Ling , Fei Fang

We study the problem of computing an Extensive-Form Perfect Equilibrium (EFPE) in 2-player games. This equilibrium concept refines the Nash equilibrium requiring resilience w.r.t. a specific vanishing perturbation (representing mistakes of…

Computer Science and Game Theory · Computer Science 2016-11-16 Gabriele Farina , Nicola Gatti

The existence of simple, uncoupled no-regret 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 that when…

Computer Science and Game Theory · Computer Science 2022-09-05 Andrea Celli , Alberto Marchesi , Gabriele Farina , Nicola Gatti

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 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

While in two-player zero-sum games the Nash equilibrium is a well-established prescriptive notion of optimal play, its applicability as a prescriptive tool beyond that setting is limited. Consequently, the study of decentralized learning…

Computer Science and Game Theory · Computer Science 2021-09-17 Gabriele Farina , Andrea Celli , Tuomas Sandholm

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

The sequence form, owing to its compact and holistic strategy representation, has demonstrated significant efficiency in computing normal-form perfect equilibria for two-player extensive-form games with perfect recall. Nevertheless, the…

Computer Science and Game Theory · Computer Science 2025-11-19 Yuqing Hou , Yiyin Cao , Chuangyin Dang , Yong Wang

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 study the scenario where the players of a classical complete information game initially share an entangled pure quantum state. Each player may perform arbitrary local operations on his own qubits, but no direct communication is allowed.…

Quantum Physics · Physics 2015-03-17 Alan Deckelbaum
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