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We present a detailed study of prisoner's dilemma game with stochastic modifications on a two-dimensional lattice, in presence of evolutionary dynamics. By very nature of the rules, the cooperators have incentive to cheat and the fear to…

统计力学 · 物理学 2015-05-14 M. Ali Saif , Prashant M. Gade

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

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

最优化与控制 · 数学 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

Synchronization, cooperation, and chaos are ubiquitous phenomena in nature. In a population composed of many distinct groups of individuals playing the prisoner's dilemma game, there exists a migration dilemma: No cooperator would migrate…

种群与进化 · 定量生物学 2021-02-22 Shubhadeep Sadhukhan , Rohitashwa Chattopadhyay , Sagar Chakraborty

In the evolutionary Prisoner's Dilemma (PD) game, agents play with each other and update their strategies in every generation according to some microscopic dynamical rule. In its spatial version, agents do not play with every other but,…

种群与进化 · 定量生物学 2009-03-08 Luis G. Moyano , Angel Sánchez

Here we study the effects of adopting different strategies against different opponent instead of adopting the same strategy against all of them in the prisoner dilemma structured in well-mixed populations. We consider an evolutionary…

物理与社会 · 物理学 2015-05-14 Lucas Wardil , Jafferson K. L. da Silva

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

We study a spatial, one-shot prisoner's dilemma (PD) model in which selection operates on both an organism's behavioral strategy (cooperate or defect) and its choice of when to implement that strategy across a set of discrete time slots.…

种群与进化 · 定量生物学 2020-12-01 Tim Johnson , Oleg Smirnov

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

Our study contributes to the debate on the evolution of cooperation in the single-shot Prisoner's Dilemma (PD) played on networks. We construct a model in which individuals are connected with positive and negative ties. Some agents play…

物理与社会 · 物理学 2014-01-21 Simone Righi , Károly Takács

We investigate the spatial distribution and the global frequency of agents who can either cooperate or defect. The agent interaction is described by a deterministic, non-iterated prisoner's dilemma game, further each agent only locally…

统计力学 · 物理学 2007-05-23 Frank Schweitzer , Laxmidhar Behera , Heinz Muehlenbein

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…

种群与进化 · 定量生物学 2024-12-20 Chenyang Zhao , Guozhong Zheng , Chun Zhang , Jiqiang Zhang , Li Chen

The Prisoner's dilemma is the main game theoretical framework in which the onset and maintainance of cooperation in biological populations is studied. In the spatial version of the model, we study the robustness of cooperation in…

无序系统与神经网络 · 物理学 2009-11-07 Mendeli H. Vainstein , Jeferson J. Arenzon

A generic property of biological, social and economical networks is their ability to evolve in time, creating and suppressing interactions. We approach this issue within the framework of an adaptive network of agents playing a Prisoner's…

适应与自组织系统 · 物理学 2014-10-20 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

Adaptive network is a powerful presentation to describe different real-world phenomena. However, current models often neglect higher-order interactions (beyond pairwise interactions) and diverse adaptation types (cooperative and…

适应与自组织系统 · 物理学 2025-01-24 S. Nirmala Jenifer , Dibakar Ghosh , Paulsamy Muruganandam

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 propose two new evolutionary rules that is not mimic evolution of strategies based on the spatial Prisoner's Dilemma (PD). The former follows the selfish evolutionary rule and then the coexistence phase appears with weak phase transition…

元胞自动机与格子气 · 物理学 2007-05-23 Norihito Toyota , Shota Hayakawa

The paradox of cooperation among selfish individuals still puzzles scientific communities. Although a large amount of evidence has demonstrated that cooperator clusters in spatial games are effective to protect cooperators against the…

物理与社会 · 物理学 2015-06-24 Han-Xin Yang , Zhihai Rong , Wen-Xu Wang

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

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

理论经济学 · 经济学 2020-06-30 Yuval Heller , Erik Mohlin
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