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In many social dilemmas, individuals tend to generate a situation with low payoffs instead of a system optimum ("tragedy of the commons"). Is the routing of traffic a similar problem? In order to address this question, we present…

物理与社会 · 物理学 2007-05-23 Dirk Helbing , Martin Schonhof , Hans-Ulrich Stark , Janusz A. Holyst

We seek a route to the equilibrium where all the agents cooperate in the iterated prisoner's dilemma game on a two-dimensional plane, focusing on the role of tit-for-tat strategy. When a time horizon, within which a strategy can recall the…

种群与进化 · 定量生物学 2008-07-30 Seung Ki Baek , Beom Jun Kim

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…

计算物理 · 物理学 2007-09-18 Marcelo Alves Pereira , Alexandre Souto Martinez , Aquino Lauri Espindola

Multi-agent reinforcement learning has received significant interest in recent years notably due to the advancements made in deep reinforcement learning which have allowed for the developments of new architectures and learning algorithms.…

多智能体系统 · 计算机科学 2018-12-27 Nicolas Anastassacos , Mirco Musolesi

In reinforcement learning, an agent interacts sequentially with an environment to maximize a reward, receiving only partial, probabilistic feedback. This creates a fundamental exploration-exploitation trade-off: the agent must explore to…

量子物理 · 物理学 2026-03-27 Josep Lumbreras , Ruo Cheng Huang , Yanglin Hu , Marco Fanizza , Mile Gu

The Iterated Prisoner's Dilemma (IPD) is a well studied framework for understanding direct reciprocity and cooperation in pairwise encounters. However, measuring the morality of various IPD strategies is still largely lacking. Here, we…

物理与社会 · 物理学 2023-02-28 Grant Molnar , Caroline Hammond , Feng Fu

Models of economic decision makers often include idealized assumptions, such as rationality, perfect foresight, and access to all relevant pieces of information. These assumptions often assure the models' internal validity, but, at the same…

综合经济学 · 经济学 2021-07-09 Patrick Reinwald , Stephan Leitner , Friederike Wall

Emergence of cooperation in self-centered individuals has been a major puzzle in the study of evolutionary ethics. Reciprocal altruism is one of explanations put forward and prisoner's dilemma has been a paradigm in this context. Emergence…

统计力学 · 物理学 2009-10-07 M Ali Saif , P. M. Gade

The prisoner's dilemma (PD) is a game-theoretic model studied in a wide array of fields to understand the emergence of cooperation between rational self-interested agents. In this work, we formulate a spatial iterated PD as a discrete-event…

动力系统 · 数学 2020-07-28 Isaiah Farahbakhsh , Chrystopher L. Nehaniv

The Prisoner's Dilemma Process on a graph $G$ is an iterative process where each vertex, with a fixed strategy (cooperate or defect), plays the game with each of its neighbours. At the end of a round each vertex may change its strategy to…

离散数学 · 计算机科学 2017-11-22 Christopher Duffy , Jeannette Janssen

We focus on the heterogeneity of social networks and its role to the emergence of prevailing cooperation and sustaining cooperators. The social networks are representative of the interaction relationships between players and their…

动力系统 · 数学 2009-11-11 Feng Fu , Lianghuan Liu , Long Wang

In recent years, agents have become capable of communicating seamlessly via natural language and navigating in environments that involve cooperation and competition, a fact that can introduce social dilemmas. Due to the interleaving of…

人工智能 · 计算机科学 2025-01-28 Maayan Orner , Oleg Maksimov , Akiva Kleinerman , Charles Ortiz , Sarit Kraus

We consider the prisoner's dilemma being played repeatedly on a dynamic network, where agents may choose their actions as well as their co-players. This leads to co-evolution of network structure and strategy patterns of the players.…

物理与社会 · 物理学 2007-06-26 Christoly Biely , Klaus Dragosits , Stefan Thurner

Repeated game has long been the touchstone model for agents' long-run relationships. Previous results suggest that it is particularly difficult for a repeated game player to exert an autocratic control on the payoffs since they are jointly…

计算机科学与博弈论 · 计算机科学 2018-07-19 Dong Hao , Kai Li , Tao Zhou

When the interactions between cooperators (C) and defectors (D) can be partially avoided within a population, there may be an overall enhancement of cooperation. One example of such screening mechanism occurs in the presence of risk-averse…

种群与进化 · 定量生物学 2017-09-20 Gabriel A. Canova , J. J. Arenzon

In this paper I present a mathematically novel approach to the Prisoner's Dilemma. I do so by first defining recursively a distinct action type, what I call 'universalizing', that I add to the original prisoner's dilemma. Such a modified…

经济学 · 定量金融 2015-10-05 Paul Studtmann

We explore some strategies which tend to perform well in the IPD. We start off by showing the significance of Tit-For-Tat strategies in evolutionary game theory. This is followed by a theoretical derivation of zero-determinant strategies,…

计算机科学与博弈论 · 计算机科学 2021-11-30 Anagh Malik

Evolutionary Prisoner's Dilemma games with quenched inhomogeneities in the spatial dynamical rules are considered. The players following one of the two pure strategies (cooperation or defection) are distributed on a two-dimensional lattice.…

种群与进化 · 定量生物学 2007-05-23 Attila Szolnoki , Gyorgy Szabo

We introduce a coevolutionary framework in which punishment intensity dynamically adapts to the fraction of cooperators in the population. Unlike static models, adaptive punishment reshapes the effective payoff landscape, driving…

物理与社会 · 物理学 2025-12-11 Xingfu Ke , Hao Yu , Xiao-Pu Han , Yi-Cheng Zhang , Fanyuan Meng

A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

凝聚态物理 · 物理学 2009-11-10 H. Fort