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We study the problem of the emergence of cooperation in the spatial Prisoner's Dilemma. The pioneering work by Nowak and May showed that large initial populations of cooperators can survive and sustain cooperation in a square lattice with…

种群与进化 · 定量生物学 2007-06-06 Raul Jimenez , Haydee Lugo , Jose A. Cuesta , Angel Sanchez

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

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 study the evolution of cooperation in the evolutionary spatial prisoner's dilemma game (PDG) and snowdrift game (SG), within which a fraction $\alpha$ of the payoffs of each player gained from direct game interactions is shared equally…

物理与社会 · 物理学 2014-01-13 Zhi-Xi Wu , Han-Xin Yang

Using simulations between pairs of $\epsilon$-greedy q-learners with one-period memory, this article demonstrates that the potential function of the stochastic replicator dynamics (Foster and Young, 1990) allows it to predict the emergence…

理论经济学 · 经济学 2023-02-23 Maximilian Schaefer

In this paper, we investigate the effect of "heterogeneity of link weight", heterogeneity of the frequency or amount of interactions among individuals, on the evolution of cooperation. Based on an analysis of the evolutionary prisoner's…

物理与社会 · 物理学 2016-02-17 M. Iwata , E. Akiyama

We study the evolutionary dynamics of the prisoner's dilemma game in which cooperators and defectors interact with another actor type called exiters. Rather than being exploited by defectors, exiters exit the game in favour of a small…

种群与进化 · 定量生物学 2021-01-20 Chen Shen , Marko Jusup , Lei Shi , Zhen Wang , Matjaz Perc , Petter Holme

We study the three-player Prisoner's Dilemma game under the effect of decoherence and correlated noise. It is seen that the quantum player is always better off over the classical players. It is also seen that the game's Nash equilibrium…

量子物理 · 物理学 2009-02-16 M. Ramzan , M. K. Khan

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

Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of…

种群与进化 · 定量生物学 2011-03-29 M. I. Shehata

We simulate the prisoner's dilemma and hawk-dove games on a real social acquaintance network. Using a discrete analogue of replicator dynamics, we show that surprisingly high levels of cooperation can be achieved, contrary to what happens…

物理与社会 · 物理学 2007-06-04 L. Luthi , E. Pestelacci , M. Tomassini

We study a condition of favoring cooperation in a Prisoner's Dilemma game on complex networks. There are two kinds of players: cooperators and defectors. Cooperators pay a benefit b to their neighbors at a cost c, whereas defectors only…

物理与社会 · 物理学 2019-11-20 Tomohiko Konno

We study the effect of imperfect memory on decision making in the context of a stochastic sequential action-reward problem. An agent chooses a sequence of actions which generate discrete rewards at different rates. She is allowed to make…

概率论 · 数学 2019-09-20 Kuang Xu , Se-Young Yun

We analyze a cooperative game, where the cooperative act is not based on the previous behaviour of the co-player, but on the similarity between the players. This system has been studied in a mean-field description recently [A. Traulsen and…

统计力学 · 物理学 2007-05-23 Arne Traulsen , Jens Christian Claussen

In recent years, Win-Stay-Lose-Learn rule has attracted wide attention as an effective strategy updating rule, and voluntary participation is proposed by introducing a third strategy in Prisoner's dilemma game. Some researches show that…

计算机科学与博弈论 · 计算机科学 2021-08-18 Zhenyu Shi , Wei Wei , Xiangnan Feng , Ruizhi Zhang , Zhiming Zheng

We study the evolutionary robustness of strategies in infinitely repeated prisoners' dilemma games in which players make mistakes with a small probability and are patient. The evolutionary process we consider is given by the replicator…

动力系统 · 数学 2020-08-03 Pedro Dal Bó , Enrique R. Pujals

Simulating bipartite games, such as the trust game, is not straightforward due to the lack of a natural way to distinguish roles in a single population. The square lattice topology can provide a simple yet elegant solution by alternating…

物理与社会 · 物理学 2025-08-12 Chaoqian Wang , Wei Zhang , Xinwei Wang , Attila Szolnoki

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…

物理与社会 · 物理学 2008-02-20 Jeromos Vukov , György Szabó , Attila Szolnoki

Direct reciprocity is a powerful mechanism for evolution of cooperation based on repeated interactions between the same individuals. But high levels of cooperation evolve only if the benefit-to-cost ratio exceeds a certain threshold that…

种群与进化 · 定量生物学 2023-05-31 Josef Tkadlec , Christian Hilbe , Martin A. Nowak

We present a simple game model where agents with different memory lengths compete for finite resources. We show by simulation and analytically that an instability exists at a critical memory length, and as a result, different memory lengths…

适应与自组织系统 · 物理学 2015-05-12 James Burridge , Yu Gao , Yong Mao