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According to the standard imitation protocol, a less successful player adopts the strategy of the more successful one faithfully for future success. This is the cornerstone of evolutionary game theory that explores the vitality of competing…

物理与社会 · 物理学 2019-09-27 Attila Szolnoki , Xiaojie Chen

In competitive resource allocation formulations multiple agents compete over different contests by committing their limited resources in them. For these settings, contest games offer a game-theoretic foundation to analyze how players can…

计算机科学与博弈论 · 计算机科学 2024-08-05 Gilberto Diaz-Garcia , Francesco Bullo , Jason R. Marden

Evolutionary game dynamics of two players with two strategies has been studied in great detail. These games have been used to model many biologically relevant scenarios, ranging from social dilemmas in mammals to microbial diversity. Some…

种群与进化 · 定量生物学 2010-03-31 Chaitanya S. Gokhale , Arne Traulsen

We consider a group of agents on a graph who repeatedly play the prisoner's dilemma game against their neighbors. The players adapt their actions to the past behavior of their opponents by applying the win-stay lose-shift strategy. On a…

概率论 · 数学 2007-05-23 Elchanan Mossel , Sebastien Roch

Many cooperative physical tasks require that individuals play specialized roles (e.g., leader-follower). Humans are adept cooperators, negotiating these roles and transitions between roles innately. Yet how roles are delegated and…

神经与进化计算 · 计算机科学 2020-04-23 Saber Sheybani , Eduardo J. Izquierdo , Eatai Roth

We discuss similarities and differences between systems of interacting players maximizing their individual payoffs and particles minimizing their interaction energy. Long-run behavior of stochastic dynamics of spatial games with multiple…

统计力学 · 物理学 2009-11-10 Jacek Miekisz

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 study an evolutionary prisoner's dilemma game with two layered graphs, where the lower layer is the physical infrastructure on which the interactions are taking place and the upper layer represents the connections for the strategy…

物理与社会 · 物理学 2009-11-13 Zhi-Xi Wu , Ying-Hai Wang

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

元胞自动机与格子气 · 物理学 2007-12-21 H. Fort

The theory of repeated games analyzes the long-term relationship of interacting players and mathematically reveals the condition of how cooperation is achieved, which is not achieved in a one-shot game. In the repeated prisoner's dilemma…

种群与进化 · 定量生物学 2019-06-20 Azumi Mamiya , Genki Ichinose

We introduce a topological combinatorial game called the Region Smoothing Swap Game. The game is played on a game board derived from the connected shadow of a link diagram on a (possibly non-orientable) surface by smoothing at crossings.…

组合数学 · 数学 2019-09-30 Allison Henrich , Inga Johnson , Jonah Ostroff

The significance of network structures in promoting group cooperation within social dilemmas has been widely recognized. Prior studies attribute this facilitation to the assortment of strategies driven by spatial interactions. Although…

多智能体系统 · 计算机科学 2024-08-20 Tianyu Ren , Xiao-Jun Zeng

Destructive agents, who opt out of the game and indiscriminately harm others, paradoxically foster cooperation, representing an intriguing variant of the voluntary participation strategy. Yet, their impact on cooperation remains…

物理与社会 · 物理学 2024-09-13 Khadija Khatun , Chen Shen , Lei Shi , Jun Tanimoto

Consider a two-person zero-sum search game between a hider and a searcher. The hider hides among $n$ discrete locations, and the searcher successively visits individual locations until finding the hider. Known to both players, a search at…

机器学习 · 统计学 2021-03-18 Jake Clarkson , Kyle Y. Lin , Kevin D. Glazebrook

Situations where individuals have to contribute to joint efforts or share scarce resources are ubiquitous. Yet, without proper mechanisms to ensure cooperation, the evolutionary pressure to maximize individual success tends to create a…

物理与社会 · 物理学 2010-05-03 Dirk Helbing , Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

计算机科学与博弈论 · 计算机科学 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

The finitely repeated Prisoners' Dilemma is a good illustration of the discrepancy between the strategic behaviour suggested by a game-theoretic analysis and the behaviour often observed among human players, where cooperation is maintained…

种群与进化 · 定量生物学 2013-01-10 Kristian Lindgren , Vilhelm Verendel

In this paper, we consider a learning problem among non-cooperative agents interacting in a time-varying system. Specifically, we focus on repeated linear quadratic network games, in which the network of interactions changes with time and…

计算机科学与博弈论 · 计算机科学 2023-10-23 Feras Al Taha , Kiran Rokade , Francesca Parise

Recent advances in deep reinforcement learning (RL) have led to considerable progress in many 2-player zero-sum games, such as Go, Poker and Starcraft. The purely adversarial nature of such games allows for conceptually simple and…

Cooperative behavior is common in nature even if selfishness is sometimes better for an individual. Empirical and theoretical studies have shown that the invasion and expansion of cooperators are related to an inhomogeneous connectivity…

物理与社会 · 物理学 2015-05-27 Li-Xin Zhong , Tian Qiu
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