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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

Population diversity is an important aspect of Prisoner's Dilemma Game (PDG) research. However, the studies on dynamic diversity and its associated cost still need further investigation. Based on a framework comprising 2-dimensional spatial…

介观与纳米尺度物理 · 物理学 2022-06-13 Yandi Liu , Na Guo , Yonghui Li

We use analytical techniques based on an expansion in the inverse system size to study the stochastic evolutionary dynamics of finite populations of players interacting in a repeated prisoner's dilemma game. We show that a mechanism of…

种群与进化 · 定量生物学 2012-04-20 Alex J. Bladon , Tobias Galla , Alan J. McKane

Spatial evolutionary games are studied with myopic players whose payoff interest, as a personal character, is tuned from selfishness to other-regarding preference via fraternity. The players are located on a square lattice and collect…

物理与社会 · 物理学 2012-03-07 Gyorgy Szabo , Attila Szolnoki

We consider the repeated prisoner's dilemma (PD). We assume that players make their choices knowing only average payoffs from the previous stages. A player's strategy is a function from the convex hull $\mathfrak{S}$ of the set of payoffs…

最优化与控制 · 数学 2018-05-16 Sławomir Plaskacz , Joanna Zwierzchowska

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

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

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

种群与进化 · 定量生物学 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

In many cases the Nash equilibria are not predictive of the experimental players' behaviour. For some games of Game Theory it is proposed here a method to estimate the probabilities with which the different options will be actually chosen…

最优化与控制 · 数学 2014-04-10 Cesco Reale

We study stochastic dynamics of the Prisoner's Dilemma game on random Erd\"{o}s-R\'{e}nyi and Barab\'{a}si-Albert networks with a cost of maintaining a link between interacting players. Stochastic simulations show that when the cost…

种群与进化 · 定量生物学 2024-02-13 Jacek Miękisz , Javad Mohamadichamgavi , Jakub Łącki

Game theory provides a quantitative framework for analyzing the behavior of rational agents. The Iterated Prisoner's Dilemma in particular has become a standard model for studying cooperation and cheating, with cooperation often emerging as…

种群与进化 · 定量生物学 2015-06-18 Alexander J. Stewart , Joshua B. Plotkin

We study an evolutionary version of the Prisoner's Dilemma game, played by agents placed in a small-world network. Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different…

适应与自组织系统 · 物理学 2009-10-31 Guillermo Abramson , Marcelo Kuperman

Game theory is fundamental to understanding cooperation between agents. Mainly, the Prisoner's Dilemma is a well-known model that has been extensively studied in complex networks. However, although the emergence of cooperation has been…

物理与社会 · 物理学 2023-01-04 Nastaran Lotfi , Francisco A. Rodrigues

Strategies incorporating direct reciprocity, e.g., Tit-for-Tat and Pavlov, have been shown to be successful for playing the Iterated Prisoners Dilemma (IPD), a paradigmatic problem for studying the evolution of cooperation among non-kin…

物理与社会 · 物理学 2016-09-29 V. Sasidevan , Sitabhra Sinha

In this paper we study the cooperative behavior of agents playing the Prisoner's Dilemma game in random scale-free networks. We show that the survival of cooperation is enhanced with respect to random homogeneous graphs but, on the other…

物理与社会 · 物理学 2015-05-13 J. Poncela , J. Gomez-Gardenes , Y. Moreno , L. M. Floria

We address the problem of how the survival of cooperation in a social system depends on the motion of the individuals. Specifically, we study a model in which Prisoner's Dilemma players are allowed to move in a two-dimensional plane. Our…

物理与社会 · 物理学 2015-05-13 S. Meloni , A. Buscarino , L. Fortuna , M. Frasca , J. Gomez-Gardenes , V. Latora , Y. Moreno

We present an extensive, systematic study of the Prisoner's Dilemma and Snowdrift games on a square lattice under a synchronous, noiseless imitation dynamics. We show that for both the occupancy of the network and the (random) mobility of…

种群与进化 · 定量生物学 2015-11-25 Mendeli H. Vainstein , Jeferson J. Arenzon

We studied the effect of three strategy updating rules in coevolving prisoner's dilemma games where agents (nodes) can switch both the strategy and social partners. Under two node-based strategy updating rules, strategy updating occurs…

物理与社会 · 物理学 2018-09-25 Hirofumi Takesue

Recent studies in the spatial prisoner's dilemma games with reinforcement learning have shown that static agents can learn to cooperate through a diverse sort of mechanisms, including noise injection, different types of learning algorithms…

人工智能 · 计算机科学 2025-07-08 Gustavo C. Mangold , Heitor C. M. Fernandes , Mendeli H. Vainstein

Recent work has revealed a new class of "zero-determinant" (ZD) strategies for iterated, two-player games. ZD strategies allow a player to unilaterally enforce a linear relationship between her score and her opponent's score, and thus…

种群与进化 · 定量生物学 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin