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Maintenance of cooperation was studied for a two-strategy evolutionary Prisoner's Dilemma game where the players are located on a one-dimensional chain and their payoff comes from games with the nearest and next-nearest neighbor…

Physics and Society · Physics 2008-02-20 Jeromos Vukov , György Szabó , Attila Szolnoki

Punishment is a common tactic to sustain cooperation and has been extensively studied for a long time. While most of previous game-theoretic work adopt the imitation learning where players imitate the strategies who are better off, the…

Populations and Evolution · Quantitative Biology 2024-12-20 Chenyang Zhao , Guozhong Zheng , Chun Zhang , Jiqiang Zhang , Li Chen

World models learn to simulate environment dynamics from experience, enabling sample-efficient reinforcement learning. But what do these models actually represent internally? We apply interpretability techniques--including linear and…

Machine Learning · Computer Science 2026-03-24 Xinyu Zhang

We study a game for recognising formal languages, in which two players with imperfect information need to coordinate on a common decision, given private input words correlated by a finite graph. The players have a joint objective to avoid…

Formal Languages and Automata Theory · Computer Science 2016-04-27 Dietmar Berwanger , Marie van den Bogaard

The recently developed mean-field game models of corruption and bot-net defence in cyber-security, the evolutionary game approach to inspection and corruption, and the pressure-resistance game element, can be combined under an extended…

Optimization and Control · Mathematics 2022-05-03 Stamatios Katsikas , Vassili Kolokoltsov

Current game world models simulate environments from a subjective, player-centric perspective. However, by treating the Non-Player Character (NPC) merely as background pixels, these models cannot capture interactions between the player and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Zeqing Wang , Danze Chen , Zhaohu Xing , Zizhao Tong , Yinhan Zhang , Xingyi Yang , Yeying Jin

The significance of network structures in promoting group cooperation within social dilemmas has been widely recognized. Prior studies attribute this facilitation to the assortment of strategies driven by spatial interactions. Although…

Multiagent Systems · Computer Science 2024-08-20 Tianyu Ren , Xiao-Jun Zeng

Consider the scenario where an infinite number of players (i.e., the \textit{thermodynamic} limit) find themselves in a Prisoner's dilemma type situation, in a \textit{repeated} setting. Is it reasonable to anticipate that, in these…

Statistical Mechanics · Physics 2024-07-23 Rajdeep Tah , Colin Benjamin

Games have long been a microcosm for studying planning and reasoning in both natural and artificial intelligence, especially with a focus on expert-level or even super-human play. But real life also pushes human intelligence along a…

Quantum game theory is a recently developing field of physical research. In this paper, we investigate quantum games in a systematic way. With the famous instance of the Prisoner's Dilemma, we present the fascinating properties of quantum…

Quantum Physics · Physics 2007-05-23 Jiangfeng Du , Xiaodong Xu , Hui Li , Xianyi Zhou , Rongdian Han

Network games study the strategic interaction of agents connected through a network. Interventions in such a game -- actions a coordinator or planner may take that change the utility of the agents and thus shift the equilibrium action…

Computer Science and Game Theory · Computer Science 2021-09-21 Kun Jin , Mingyan Liu

Repeated interactions are ubiquitous and known to promote social behaviour. While research often focuses on cooperation in the Prisoner's Dilemma, experimental evidence suggests repeated interactions also foster fairness. This study…

Adaptation and Self-Organizing Systems · Physics 2026-04-07 Prosanta Mandal , Arunava Patra , Sagar Chakraborty

This paper proposes models of learning process in teams of individuals who collectively execute a sequence of tasks and whose actions are determined by individual skill levels and networks of interpersonal appraisals and influence. The…

Social and Information Networks · Computer Science 2016-10-03 Wenjun Mei , Noah E. Friedkin , Kyle Lewis , Francesco Bullo

In several papers published in Biological Cybernetics in the 1980s and 1990s, Kawato and colleagues proposed computational models explaining how internal models are acquired in the cerebellum. These models were later supported by…

Neurons and Cognition · Quantitative Biology 2021-12-22 Mitsuo Kawato , Aurelio Cortese

The spatial Prisoner's Dilemma is a prototype model to show the emergence of cooperation in very competitive environments. It considers players, at site of lattices, that can either cooperate or defect when playing the Prisoner's Dilemma…

Computational Physics · Physics 2007-09-18 Marcelo Alves Pereira , Alexandre Souto Martinez , Aquino Lauri Espindola

In this paper we study a type of games regularized by the relative entropy, where the players' strategies are coupled through a random environment variable. Besides the existence and the uniqueness of equilibria of such games, we prove that…

Computer Science and Game Theory · Computer Science 2020-04-24 Giovanni Conforti , Anna Kazeykina , Zhenjie Ren

Human decision behaviour is quite diverse. In many games humans on average do not achieve maximal payoff and the behaviour of individual players remains inhomogeneous even after playing many rounds. For instance, in repeated prisoner…

Physics and Society · Physics 2015-11-11 Martin Spanknebel , Klaus Pawelzik

Designing human-centered AI-driven applications require deep understandings of how people develop mental models of AI. Currently, we have little knowledge of this process and limited tools to study it. This paper presents the position that…

Human-Computer Interaction · Computer Science 2021-03-31 Jennifer Villareale , Jichen Zhu

This paper seeks to combine differential game theory with the actor-critic-identifier architecture to determine forward-in-time, approximate optimal controllers for formation tracking in multi-agent systems, where the agents have uncertain…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Justin R. Klotz , Patrick Walters , Warren E. Dixon

In this paper, we show that, under mild assumptions, input-output behavior of a continous-time recurrent neural network (RNN) can be represented by a rational or polynomial nonlinear system. The assumptions concern the activation function…

Optimization and Control · Mathematics 2019-03-19 Thibault Defourneau , Mihaly Petreczky
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