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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…

计算机科学与博弈论 · 计算机科学 2023-01-02 Chun Kai Ling , Fei Fang

Nash Equilibrium (NE) is the canonical solution concept of game theory, which provides an elegant tool to understand the rationalities. Though mixed strategy NE exists in any game with finite players and actions, computing NE in two- or…

计算机科学与博弈论 · 计算机科学 2024-05-07 Xinrun Wang , Chang Yang , Shuxin Li , Pengdeng Li , Xiao Huang , Hau Chan , Bo An

Nash equilibrium is a key concept in game theory fundamental for elucidating the equilibrium state of strategic interactions, finding applications in diverse fields such as economics, political science, and biology. However, the Nash…

计算机科学与博弈论 · 计算机科学 2024-04-02 Elie Eshoa , Ali R. Zomorrodi

The paper defines a non-cooperative simultaneous finite game to study coalition structure formation with intra and inter-coalition externalities. The novelty of the game is that the game definition embeds a \textit{coalition structure…

最优化与控制 · 数学 2016-12-08 Dmitry V. Levando

We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players make their choices knowing only the average payoffs from…

最优化与控制 · 数学 2018-05-16 Tadeusz Kufel , Sławomir Plaskacz , Joanna Zwierzchowska

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

最优化与控制 · 数学 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

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

In competitive multi-player interactions, simultaneous optimality is a key requirement for establishing strategic equilibria. This property is explicit when the game-theoretic equilibrium is the simultaneously optimal solution of coupled…

计算机科学与博弈论 · 计算机科学 2024-04-04 Sarah H. Q. Li , Yue Yu , Florian Dörfler , John Lygeros

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

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…

计算机科学与博弈论 · 计算机科学 2019-08-28 Gabriele Farina , Tommaso Bianchi , Tuomas Sandholm

Most work in game theory assumes that players are perfect reasoners and have common knowledge of all significant aspects of the game. In earlier work, we proposed a framework for representing and analyzing games with possibly unaware…

计算机科学与博弈论 · 计算机科学 2007-07-17 Leandro C. Rego , Joseph Y. Halpern

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

Is it rational for selfish individuals to cooperate? The conventional answer based on analysis of games such as the Prisoners Dilemma (PD) is that it is not, even though mutual cooperation results in a better outcome for all. This…

物理与社会 · 物理学 2015-08-14 V. Sasidevan , Sitabhra Sinha

A recently introduced concept of "cooperative equilibrium", based on the assumption that players have a natural attitude to cooperation, has been proven a powerful tool in predicting human behaviour in social dilemmas. In this paper, we…

计算机科学与博弈论 · 计算机科学 2015-09-28 Valerio Capraro , Maria Polukarov , Matteo Venanzi , Nicholas R. Jennings

Adversarial team games model multiplayer strategic interactions in which a team of identically-interested players is competing against an adversarial player in a zero-sum game. Such games capture many well-studied settings in game theory,…

We present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

计算机科学与博弈论 · 计算机科学 2024-06-14 Carlos Martin , Tuomas Sandholm

This paper further develops the algebraic--geometric foundations of conditional independence (CI) equilibria, a refinement of dependency equilibria that integrates conditional independence relations from graphical models into strategic…

代数几何 · 数学 2025-11-17 Matthieu Bouyer , Irem Portakal , Javier Sendra-Arranz

The emergence of cooperation figures among the main goal of game theory in competitive-cooperative environments. Potential games have long been hinted as viable alternatives to study realistic player behavior. Here, we expand the potential…

计算机科学与博弈论 · 计算机科学 2018-10-12 G. M. Nakamura , G. S. Contesini , A. S. Martinez

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…

计算机科学与博弈论 · 计算机科学 2021-09-17 Gabriele Farina , Andrea Celli , Tuomas Sandholm

Economists were content with the concept of the Nash equilibrium as game theory's solution concept until Daskalakis, Goldberg, and Papadimitriou showed that finding a Nash equilibrium is most likely a computationally hard problem, a result…

计算机科学与博弈论 · 计算机科学 2013-04-08 Ioannis Avramopoulos