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Strategy changes are an essential part of evolutionary games. Here we introduce a simple rule that, depending on the value of a single parameter $w$, influences the selection of players that are considered as potential sources of the new…

物理与社会 · 物理学 2010-08-16 Zhen Wang , Matjaz Perc

Evolutionary game dynamics on networks typically consider the competition among simple strategies such as cooperation and defection in the Prisoner's Dilemma and summarize the effect of population structure as network reciprocity. However,…

物理与社会 · 物理学 2024-05-31 Zijie Chen , Yuxin Geng , Xingru Chen , Feng Fu

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

计算机科学与博弈论 · 计算机科学 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

We investigate the repeated prisoner's dilemma game where both players alternately use reinforcement learning to obtain their optimal memory-one strategies. We theoretically solve the simultaneous Bellman optimality equations of…

计算机科学与博弈论 · 计算机科学 2021-06-02 Yuki Usui , Masahiko Ueda

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

Evolutionary anti-coordination games on networks capture real-world strategic situations such as traffic routing and market competition. In such games, agents maximize their utility by choosing actions that differ from their neighbors'…

计算机科学与博弈论 · 计算机科学 2024-04-02 Zirou Qiu , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

Standard simulations of the Iterated Prisoners Dilemma (IPD) operate in deterministic, noise-free environments, producing strategies that may be theoretically optimal but fragile when confronted with real-world uncertainty. This paper…

神经与进化计算 · 计算机科学 2026-01-07 Oguzhan Yildirim

Evolutionary $2 \times 2$ games are studied with players located on a square lattice. During the evolution the randomly chosen neighboring players try to maximize their collective income by adopting a random strategy pair with a probability…

种群与进化 · 定量生物学 2010-08-23 Gyorgy Szabo , Attila Szolnoki , Melinda Varga , Livia Hanusovszky

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

In distributed systems, knowledge of the network structure of the connections among the unitary components is often a requirement for an accurate prediction of the emerging collective dynamics. However, in many real-world situations, one…

物理与社会 · 物理学 2025-03-21 Yin-Jie Ma , Zhi-Qiang Jiang , Fanshu Fang , Charo I. del Genio , Stefano Boccaletti

This paper studies social interactions in a game theoretic model with players in a large social network. We consider observations from one single equilibrium of a large network game with asymmetric information, in which each player chooses…

统计方法学 · 统计学 2018-03-20 Haiqing Xu

There has been recent progress on the problem of inferring the structure of interactions in complex networks when they are in stationary states satisfying detailed balance, but little has been done for non-equilibrium systems. Here we…

无序系统与神经网络 · 物理学 2011-02-01 Yasser Roudi , John A. Hertz

We study multi-player general-sum Markov games with one of the players designated as the leader and the other players regarded as followers. In particular, we focus on the class of games where the followers are myopic, i.e., they aim to…

机器学习 · 计算机科学 2021-12-28 Han Zhong , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

We consider a stochastic model for evolution of group-structured populations in which interactions between group members correspond to the Prisoner's Dilemma or the Hawk-Dove game. Selection operates at two organization levels: individuals…

种群与进化 · 定量生物学 2019-04-12 Daniel B. Cooney

Evolutionary Prisoner's Dilemma games with quenched inhomogeneities in the spatial dynamical rules are considered. The players following one of the two pure strategies (cooperation or defection) are distributed on a two-dimensional lattice.…

种群与进化 · 定量生物学 2007-05-23 Attila Szolnoki , Gyorgy Szabo

Humans and other animals can adapt their social behavior in response to environmental cues including the feedback obtained through experience. Nevertheless, the effects of the experience-based learning of players in evolution and…

种群与进化 · 定量生物学 2011-04-05 Naoki Masuda , Mitsuhiro Nakamura

We propose a new class of games, called Multi-Games (MG), in which a given number of players play a fixed number of basic games simultaneously. In each round of the MG, each player will have a specific set of weights, one for each basic…

计算机科学与博弈论 · 计算机科学 2012-06-27 Abbas Edalat , Ali Ghoroghi , Georgios Sakellariou

Quantum games with incomplete information can be studied within a Bayesian framework. We consider a version of prisoner's dilemma (PD) in this framework with three players and characterize the Nash equilibria. A variation of the standard PD…

量子物理 · 物理学 2017-03-10 Neal Solmeyer , Ricky Dixon , Radhakrishnan Balu

A two-dimensional small-world type network, subject to spatial prisoners' dilemma dynamics and containing an influential node defined as a special node with a finite density of directed random links to the other nodes in the network, is…

无序系统与神经网络 · 物理学 2009-11-07 Beom Jun Kim , Ala Trusina , Petter Holme , Petter Minnhagen , Jean S. Chung , M. Y. Choi

The evolutionary Prisoner's Dilemma Game (PDG) and the Snowdrift Game (SG) with preferential learning mechanism are studied in the Barab\'asi-Albert network. Simulation results demonstrate that the preferential learning of individuals…

物理与社会 · 物理学 2009-09-29 Jie Ren , Wen-Xu Wang , Gang Yan , Bing-Hong Wang