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This paper develops a framework to extend the strategic form analysis of cursed equilibrium (CE) developed by Eyster and Rabin (2005) to multi-stage games. The approach uses behavioral strategies rather than normal form mixed strategies,…

Theoretical Economics · Economics 2023-04-13 Meng-Jhang Fong , Po-Hsuan Lin , Thomas R. Palfrey

We propose an extensive-form solution concept, with players that neglect information from hypothetical events, but make inferences from observed events. Our concept modifies cursed equilibrium (Eyster and Rabin, 2005), and allows that…

Theoretical Economics · Economics 2025-07-29 Shani Cohen , Shengwu Li

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 novel equilibrium concept that incorporates Knightian uncertainty into the cursed equilibrium (Eyster and Rabin, 2005). This concept is then applied to a two-player game in which agents can engage in trade or refuse to do so.…

Theoretical Economics · Economics 2025-06-13 Jurek Preker

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

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

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

Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some…

Quantum Physics · Physics 2011-05-27 Zhaohui Wei , Shengyu Zhang

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

We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

Computer Science and Game Theory · Computer Science 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

Coarse correlated equilibria (CCE) are a good alternative to Nash equilibria (NE), as they arise more naturally as outcomes of learning algorithms and they may exhibit higher payoffs than NE. CCEs include a device which allows players'…

Optimization and Control · Mathematics 2023-11-08 Luciano Campi , Federico Cannerozzi , Fanny Cartellier

Correlated Equilibrium (CE) is a well-established solution concept that captures coordination among agents and enjoys good algorithmic properties. In real-world multi-agent systems, in addition to being in an equilibrium, agents' policies…

Artificial Intelligence · Computer Science 2023-02-17 Libo Zhang , Yang Chen , Toru Takisaka , Bakh Khoussainov , Michael Witbrock , Jiamou Liu

We propose a generalization of Quantal Response Equilibrium (QRE) built on a simple premise: some actions are more focal than others. In our model, which we call the Focal Quantal Response Equilibrium (Focal QRE), each player plays a…

Theoretical Economics · Economics 2026-05-26 Matthew Kovach , Gerelt Tserenjigmid

We examine sequential equilibrium in the context of computational games, where agents are charged for computation. In such games, an agent can rationally choose to forget, so issues of imperfect recall arise. In this setting, we consider…

Computer Science and Game Theory · Computer Science 2014-12-22 Joseph Y. Halpern , Rafael Pass

The sequential equilibrium is a standard solution concept for extensive-form games with imperfect information that includes an explicit representation of the players' beliefs. An assessment consisting of a strategy and a belief is a…

Computer Science and Game Theory · Computer Science 2024-02-08 Moritz Graf , Thorsten Engesser , Bernhard Nebel

We study how cursedness, the tendency to neglect how other people's strategies depend on their private information, affects information transmission in Spence's job market signaling game. We characterize the Cursed Sequential Equilibrium…

General Economics · Economics 2025-04-25 Po-Hsuan Lin , Yen Ling Tan

Sequential equilibrium is one of the most fundamental refinements of Nash equilibrium for games in extensive form. However, it is not defined for extensive-form games in which a player can choose among a continuum of actions. We define a…

Theoretical Economics · Economics 2026-04-29 Michael Greinecker , Martin Meier , Konrad Podczeck

We study multiplayer quantitative reachability games played on a finite directed graph, where the objective of each player is to reach his target set of vertices as quickly as possible. Instead of the well-known notion of Nash equilibrium…

Computer Science and Game Theory · Computer Science 2023-06-22 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin , Marie van den Bogaard

Using the Logit quantal response form as the response function in each step, the original definition of static quantal response equilibrium (QRE) is extended into an iterative evolution process. QREs remain as the fixed points of the…

Physics and Society · Physics 2015-06-17 Qian Zhuang , Zegnru Di , Jinshan Wu

We present a new solution concept called evolutionarily stable Stackelberg equilibrium (SESS). We study the Stackelberg evolutionary game setting in which there is a single leading player and a symmetric population of followers. The leader…

Computer Science and Game Theory · Computer Science 2026-03-26 Sam Ganzfried
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