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Cooperation is usually represented as a Prisoner's Dilemma game. Although individual self-interest may not favour cooperation, cooperation can evolve if, for example, players interact multiple times adjusting their behaviour accordingly to…

物理与社会 · 物理学 2015-04-29 Elton J. S. Júnior , Lucas Wardil , Jafferson K. L. da Silva

We study the evolution of cooperation in the spatial prisoner's dilemma game, where besides unconditional cooperation and defection, tit-for-tat, win-stay-lose-shift and extortion are the five competing strategies. While pairwise imitation…

物理与社会 · 物理学 2014-07-02 Attila Szolnoki , Matjaz Perc

We will study a population of individuals playing the infinitely repeated Prisoner's Dilemma under replicator dynamics. The population consists of three kinds of individuals using the following reactive strategies: ALLD (individuals which…

种群与进化 · 定量生物学 2015-09-04 Irene Núñez Rodríguez , Armando G. M. Neves

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

Cooperation is a difficult proposition in the face of Darwinian selection. Those that defect have an evolutionary advantage over cooperators who should therefore die out. However, spatial structure enables cooperators to survive through the…

物理与社会 · 物理学 2018-02-02 Attila Szolnoki , Matjaz Perc

Cooperation and defection are social traits whose evolutionary origin is still unresolved. Recent behavioral experiments with humans suggested that strategy changes are driven mainly by the individuals' expectations and not by imitation.…

物理与社会 · 物理学 2024-02-13 Miguel Aguilar-Janita , Nagi Khalil , Inmaculada Leyva , Irene Sendiña-Nadal

Cooperators benefit others with paying costs. Evolution of cooperation crucially depends on the cost-benefit ratio of cooperation, denoted as $c$. In this work, we investigate the infinitely repeated prisoner's dilemma for various values of…

种群与进化 · 定量生物学 2017-12-19 Taekho You , Minji Kwon , Hang-Hyun Jo , Woo-Sung Jung , Seung Ki Baek

The theory of direct reciprocity explores how individuals cooperate when they interact repeatedly. In repeated interactions, individuals can condition their behaviour on what happened earlier. One prominent example of a conditional strategy…

动力系统 · 数学 2024-11-21 Nataliya A. Balabanova , Manh Hong Duong , Christian Hilbe

This paper characterizes how different incentive instruments shape cooperation in a repeated Prisoner`s Dilemma with a continuum of players. A simple tit-for-tat strategy competes against unconditional defection, and the long-run outcome is…

理论经济学 · 经济学 2025-11-14 Alexander Kangas

The emergence of mutual cooperation is studied in a spatially extended evolutionary prisoner's dilemma game in which the players are located on the sites of cubic lattices for dimensions d=1, 2, and 3. Each player can choose one of the…

统计力学 · 物理学 2009-10-31 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

Cooperating first then mimicking the partner's act has been proven to be effective in utilizing reciprocity in social dilemmas. However, the extent to which this, called Tit-for-Tat strategy, should be regarded as equivalent to…

计算机科学与博弈论 · 计算机科学 2026-03-31 Chaoqian Wang , Jingyang Li , Xinwei Wang , Wenqiang Zhu , Attila Szolnoki

Repeated interaction between individuals is the main mechanism for maintaining cooperation in social dilemma situations. Variants of tit-for-tat (repeating the previous action of the opponent) and the win-stay lose-shift strategy are known…

种群与进化 · 定量生物学 2011-11-08 Shoma Tanabe , Naoki Masuda

In the framework of the paradigmatic prisoner's dilemma, we investigate the evolutionary dynamics of social dilemmas in the presence of "cooperation facilitators". In our model, cooperators and defectors interact as in the classical…

种群与进化 · 定量生物学 2012-08-02 Mauro Mobilia

Evolutionary prisoner's dilemma games are studied with players located on square lattice and random regular graphs defining four neighbors for each one. The players follow one of the three strategies: tit-for-tat, unconditional cooperation,…

物理与社会 · 物理学 2009-11-13 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

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

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 this Letter, we study how cooperation is organized in complex topologies by analyzing the evolutionary (replicator) dynamics of the Prisoner's Dilemma, a two-players game with two available strategies, defection and cooperation, whose…

物理与社会 · 物理学 2007-05-23 J. Gomez-Gardenes , M. Campillo , L. M. Floria , Y. Moreno

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

计算机科学与博弈论 · 计算机科学 2020-09-07 Robert Prentner

We study the combined influence of selection and random fluctuations on the evolutionary dynamics of two-strategy ("cooperation" and "defection") games in populations comprising cooperation facilitators. The latter are individuals that…

种群与进化 · 定量生物学 2013-11-13 Mauro Mobilia

Direct reciprocity, stemming from repeated interactions among players, is one of the fundamental mechanisms for understanding the evolution of cooperation. However, canonical strategies for the repeated prisoner's dilemma, such as…

物理与社会 · 物理学 2024-09-10 Xiaochen Wang , Aming Li
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