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Nash equilibrium is the most commonly-used notion of equilibrium in game theory. However, it suffers from numerous problems. Some are well known in the game theory community; for example, the Nash equilibrium of repeated prisoner's dilemma…

计算机科学与博弈论 · 计算机科学 2008-12-18 Joseph Y. Halpern

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,…

理论经济学 · 经济学 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…

理论经济学 · 经济学 2025-07-29 Shani Cohen , Shengwu Li

The noncooperative Nash equilibrium solution of classical games corresponds to a rational expectations attitude on the part of the players. However, in many cases, games played by human players have outcomes very different from Nash…

量子物理 · 物理学 2007-05-23 R. Vilela Mendes

The Nash Equilibrium is a much discussed, deceptively complex, method for the analysis of non-cooperative games. If one reads many of the commonly available definitions the description of the Nash Equilibrium is deceptively simple in…

计算机科学与博弈论 · 计算机科学 2007-07-09 Philip V. Fellman

Quantum games with incomplete information can be studied within a Bayesian framework. We analyze games quantized within the EWL framework [Eisert, Wilkens, and Lewenstein, Phys Rev. Lett. 83, 3077 (1999)]. We solve for the Nash equilibria…

量子物理 · 物理学 2017-03-10 Neal Solmeyer , Radhakrishnan Balu

Cursed Equilibrium of Eyster and Rabin (2005) has been a leading theory for explaining winner's-curse-type behavior in static Bayesian games, but it faces conceptual limitations when applied to dynamic games. Two recent extensions, Cursed…

理论经济学 · 经济学 2026-05-11 Meng-Jhang Fong , Po-Hsuan Lin , Thomas R. Palfrey

Quantum game theory has emerged as a promising candidate to further the understanding of quantum correlations. Motivated by this, it is demonstrated that pure strategy Nash equilibria can be utilised as a mechanism to witness and determine…

量子物理 · 物理学 2024-10-22 A. Lowe

Computational aspects of solution notions such as Nash equilibrium have been extensively studied, including settings where the ultimate goal is to find an equilibrium that possesses some additional properties. Furthermore, in order to…

计算复杂性 · 计算机科学 2023-05-09 Bruce M. Kapron , Koosha Samieefar

We characterize Nash equilibrium by postulating coherent behavior across varying games. Nash equilibrium is the only solution concept that satisfies the following axioms: (i) strictly dominant actions are played with positive probability,…

理论经济学 · 经济学 2024-07-02 Florian Brandl , Felix Brandt

Quantum games with incomplete information can be studied within a Bayesian framework. We consider a version of prisoner's dilemma (PD) in this framework with three players and characterize the Nash equilibria. A variation of the standard PD…

量子物理 · 物理学 2017-03-10 Neal Solmeyer , Ricky Dixon , Radhakrishnan Balu

We study equilibrium concepts in non-cooperative games under uncertainty where both beliefs and mixed strategies are represented by non-additive measures (capacities). In contrast to the classical Nash framework based on additive…

计算机科学与博弈论 · 计算机科学 2026-03-06 Taras Radul

Noncooperative games with uncertain payoffs have been classically studied under the expected-utility theory framework, which relies on the strong assumption that agents behave rationally. However, simple experiments on human decision makers…

计算机科学与博弈论 · 计算机科学 2025-08-14 Ashok Krishnan K. S. , Hélène Le Cadre , Ana Bušić

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented…

量子物理 · 物理学 2015-02-05 Faisal Shah Khan

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

计算机科学与博弈论 · 计算机科学 2026-05-20 Léonard Brice

We study the computational complexity of Nash equilibria in concurrent games with limit-average objectives. In particular, we prove that the existence of a Nash equilibrium in randomised strategies is undecidable, while the existence of a…

计算机科学与博弈论 · 计算机科学 2011-09-29 Michael Ummels , Dominik Wojtczak

Several notions of game enjoy a Nash-like notion of equilibrium without guarantee of existence. There are different ways of weakening a definition of Nash-like equilibrium in order to guarantee the existence of a weakened equilibrium.…

计算机科学与博弈论 · 计算机科学 2007-12-11 Stéphane Le Roux

A quantum Cournot game of which classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium exhibits the following two properties, (i) if the measurement…

量子物理 · 物理学 2015-05-14 Yohei Sekiguchi , Kiri Sakahara , Takashi Sato

The betweenness property of preference relations states that a probability mixture of two lotteries should lie between them in preference. It is a weakened form of the independence property and hence satisfied in expected utility theory…

理论经济学 · 经济学 2020-04-22 Soham R. Phade , Venkat Anantharam

Classical results of Decision Theory, and its extension to a multi-agent setting: Game Theory, operate only at the associative level of information; this is, classical decision makers only take into account probabilities of events; we go…

计算机科学与博弈论 · 计算机科学 2019-10-16 Mauricio Gonzalez-Soto , Luis E. Sucar , Hugo J. Escalante
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