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This paper studies scenarios of cyclic dominance in a coevolutionary spatial model in which game strategies and links between agents adaptively evolve over time. The Optional Prisoner's Dilemma (OPD) game is employed. The OPD is an extended…

计算机科学与博弈论 · 计算机科学 2017-02-15 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

A modified spatial prisoner's dilemma game with voluntary participation in Newman-Watts small-world networks is studied. Some reasonable ingredients are introduced to the game evolutionary dynamics: each agent in the network is a pure…

统计力学 · 物理学 2009-11-11 Zhi-Xi Wu , Xin-Jian Xu , Yong chen , Ying-Hai Wang

This paper addresses a mathematically tractable model of the Prisoner's Dilemma using the framework of active inference. In this work, we design pairs of Bayesian agents that are tracking the joint game state of their and their opponent's…

物理与社会 · 物理学 2023-08-31 Daphne Demekas , Conor Heins , Brennan Klein

Game theory formalizes certain interactions between physical particles or between living beings in biology, sociology, and economics, and quantifies the outcomes by payoffs. The prisoner's dilemma (PD) describes situations in which it is…

物理与社会 · 物理学 2015-05-13 Dirk Helbing , Sergi Lozano

In spatial games players typically alter their strategy by imitating the most successful or one randomly selected neighbor. Since a single neighbor is taken as reference, the information stemming from other neighbors is neglected, which…

物理与社会 · 物理学 2012-11-01 Xiaofeng Wang , Matjaz Perc , Yongkui Liu , Xiaojie Chen , Long Wang

We introduce the stochastic Network-Iterated Prisoner's Dilemma (NIPD) model, a network of players playing the Prisoner's Dilemma with their neighbours, each with a memory-one strategy which they constantly and locally update to improve…

物理与社会 · 物理学 2022-11-30 Martín Soto Quintanilla

This paper investigates the long-term behavior of an interacting particle system of interest in the hot topic of evolutionary game theory. Each site of the $d$-dimensional integer lattice is occupied by a player who is characterized by one…

概率论 · 数学 2016-06-07 Eric Foxall , Nicolas Lanchier

Evolutionary game theory assumes that players replicate a highly scored player's strategy through genetic inheritance. However, when learning occurs culturally, it is often difficult to recognize someone's strategy just by observing the…

种群与进化 · 定量生物学 2021-07-01 Minjae Kim , Jung-Kyoo Choi , Seung Ki Baek

I present the results from a spatial model of the prisoner's dilemma, played on a toroidal lattice. Each individual has a default strategy of either cooperating ($C$) or defecting ($D$). Two strategies were tested, including ``tit-for-tat''…

物理与社会 · 物理学 2026-02-04 Gregg Hartvigsen

In society, mutual cooperation, defection, and asymmetric exploitative relationships are common. Whereas cooperation and defection are studied extensively in the literature on game theory, asymmetric exploitative relationships between…

最优化与控制 · 数学 2019-11-13 Yuma Fujimoto , Kunihiko Kaneko

We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defection, 1 to cooperation, and intermediate values representing…

适应与自组织系统 · 物理学 2015-05-28 Francesco Sorrentino , Nicholas Mecholsky

We introduce nonlinear attractive effects into a spatial Prisoner's Dilemma game where the players located on a square lattice can either cooperate with their nearest neighbors or defect. In every generation, each player updates its…

物理与社会 · 物理学 2007-05-23 Jian-Yue Guan , Zhi-Xi Wu , Zi-Gang Huang , Xin-Jian Xu , Ying-Hai Wang

We study evolutionary games in a spatial diluted grid environment in which agents strategically interact locally but can also opportunistically move to other positions within a given migration radius. Using the imitation of the best rule…

物理与社会 · 物理学 2015-06-17 Pierre Buesser , Marco Tomassini , Alberto Antonioni

We investigate evolutionary dynamics of altruism with long-range interaction on a cycle. The interaction between individuals is described by a simplified version of the prisoner's dilemma (PD) game in which the payoffs are parameterized by…

种群与进化 · 定量生物学 2019-01-30 Jiwon Bahk , Seung Ki Baek , Hyeong-Chai Jeong

We investigate an evolutionary prisoner's dilemma game among self-driven agents, where collective motion of biological flocks is imitated through averaging directions of neighbors. Depending on the temptation to defect and the velocity at…

物理与社会 · 物理学 2015-03-13 Zhuo Chen , Jian-Xi Gao , Yun-Ze Cai , Xiao-Ming Xu

We study an evolutionary version of the spatial prisoner's dilemma game, where the agents are placed in a random graph. For lattices with fixed connectivity, $\alpha$, we show that for low values of $\alpha$ the final density of cooperating…

统计力学 · 物理学 2007-05-23 O. Durán , R. Mulet

A growing body of computational studies shows that simple machine learning agents converge to cooperative behaviors in social dilemmas, such as collusive price-setting in oligopoly markets, raising questions about what drives this outcome.…

计算机科学与博弈论 · 计算机科学 2025-12-23 Quentin Bertrand , Juan Duque , Emilio Calvano , Gauthier Gidel

The evolution of cooperative behaviour is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region $1.8 < b < 2.0$ , where clusters of cooperators are…

核理论 · 物理学 2009-10-28 Zhen Cao , Rudolph C. Hwa

This paper presents research comparing the effects of different environments on the outcome of an extended Prisoner's Dilemma, in which agents have the option to abstain from playing the game. We consider three different pure strategies:…

计算机科学与博弈论 · 计算机科学 2016-08-18 Marcos Cardinot , Maud Gibbons , Colm O'Riordan , Josephine Griffith

One of the most direct human mechanisms of promoting cooperation is rewarding it. We study the effect of sharing a reward among cooperators in the most stringent form of social dilemma, namely the Prisoner's Dilemma. Specifically, for a…

种群与进化 · 定量生物学 2012-02-02 J. A. Cuesta , R. Jimenez , H. Lugo , A. Sanchez