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We study the rock-paper-scissors game in structured populations, where the invasion rates determine individual payoffs that govern the process of strategy change. The traditional version of the game is recovered if the payoffs for each…

物理与社会 · 物理学 2014-06-19 Attila Szolnoki , Jeromos Vukov , Matjaz Perc

The spatial rock-paper-scissors ecosystem, where three species interact cyclically, is a model example of how spatial structure can maintain biodiversity. We here consider such a system for a broad range of interaction rates. When one…

生物物理 · 物理学 2013-06-21 Jeppe Juul , Kim Sneppen , Joachim Mathiesen

The spatio-temporal arrangement of interacting populations often influences the maintenance of species diversity and is a subject of intense research. Here, we study the spatio-temporal patterns arising from the cyclic competition between…

种群与进化 · 定量生物学 2014-09-10 Bartosz Szczesny , Mauro Mobilia , Alastair M. Rucklidge

In this communication, a simple mechanism in the optional public goods game is experimentally investigated using two experimental settings; and first time, the cyclic strategy pattern in full state space is demonstrated by means of…

物理与社会 · 物理学 2014-06-17 Bin Xu

Social dilemmas concern a natural conflict between cooperation and self interests among individuals in large populations. The emergence of cooperation and its maintenance is the key for the understanding of fundamental concepts about the…

物理与社会 · 物理学 2016-10-26 Pablo A. Valverde , Roberto da Silva , Eduardo V. Stock

The prototype of a cyclic dominant system is the so-called rock-scissors-paper game, but similar relation among competing strategies can be identified in several other models of evolutionary game theory. In this work we assume that a…

物理与社会 · 物理学 2020-06-11 Attila Szolnoki , Xiaojie Chen

As the behavior of a system composed of cyclically competing species is strongly influenced by the presence of fluctuations, it is of interest to study cyclic dominance in low dimensions where these effects are the most prominent. We here…

种群与进化 · 定量生物学 2015-05-18 Siddharth Venkat , Michel Pleimling

Rock is wrapped by paper, paper is cut by scissors, and scissors are crushed by rock. This simple game is popular among children and adults to decide on trivial disputes that have no obvious winner, but cyclic dominance is also at the heart…

As a generalization of the 3-strategy Rock-Scissors-Paper game dynamics in space, cyclical interaction models of six mutating species are studied on a square lattice, in which each species is supposed to have two dominant, two subordinated…

统计力学 · 物理学 2016-08-31 G. Szabo , T. Czaran

Collective sensing is an emergent phenomenon which enables individuals to estimate a hidden property of the environment through the observation of social interactions. Previous work on collective sensing shows that gregarious individuals…

种群与进化 · 定量生物学 2018-05-24 Stefano Bennati

This work deals with the influence of the neighborhood in simple rock-paper-scissors models of biodiversity. We consider the case of three distinct species which evolve under the standard rules of mobility, reproduction and competition. The…

种群与进化 · 定量生物学 2021-11-25 D. Bazeia , M. Bongestab , B. F. de Oliveira

Rock-scissors-paper game, as the simplest model of intransitive relation between competing agents, is a frequently quoted model to explain the stable diversity of competitors in the race of surviving. When increasing the number of…

物理与社会 · 物理学 2019-05-21 D. Bazeia , B. F. de Oliveira , A. Szolnoki

The rock-paper-scissors game is a model example of the on-going cyclic turnover typical of many ecosystems, ranging from the terrestrial and aquatic to the microbial. Here we explore the evolution of a rock-paper-scissors system where three…

种群与进化 · 定量生物学 2012-06-29 Jeppe Juul , Kim Sneppen , Joachim Mathiesen

We investigate the motion of groups of intruders in a two-dimensional granular system by using discrete numerical simulations. By imposing either a constant velocity or a thrusting force on larger disks (intruders) that move within smaller…

软凝聚态物质 · 物理学 2022-12-05 Douglas Daniel de Carvalho , Erick de Moraes Franklin

We study generalised rock-paper-scissors models with an arbitrary odd number N \geq 5 of species, among which n are weak, with 2 \leq n \leq (N-1)/2. Because of the species' weakness, the probability of individuals conquering territory in…

种群与进化 · 定量生物学 2023-06-06 J. Menezes , R. Barbalho

We study the cyclic dominance of three species in two-dimensional constrained Newman-Watts networks with a four-state variant of the rock-paper-scissors game. By limiting the maximal connection distance $R_{max}$ in Newman-Watts networks…

种群与进化 · 定量生物学 2009-07-03 Guo-Yong Zhang , Yong Chen , Wei-Kai Qi , Shao-Meng Qin

Generalizing the cyclically competing three-species model (often referred to as the rock-paper-scissors game), we consider a simple system of population dynamics without spatial structures that involves four species. Unlike the previous…

种群与进化 · 定量生物学 2011-01-06 Sara O. Case , Clinton H. Durney , Michel Pleimling , R. K. P. Zia

We consider (N,r) games of predation with N species and r < N prey and predators, acting in a cyclic way. Further basic reactions include reproduction, decay and diffusion over a regular grid, without a hard constraint on the occupation…

斑图形成与孤子 · 物理学 2016-12-21 Darka Labavić , Hildegard Meyer-Ortmanns

Understanding the mechanisms that govern species coexistence and biodiversity represents a fundamental challenge in ecology. This study extends the classic rock-paper-scissors model by introducing a context-dependent higher-order…

种群与进化 · 定量生物学 2026-03-03 Chunpeng Du , Haoshu Wang , Yikang Lu , Lijuan Qin , Junpyo Park

The rock-paper-scissor game -- which is characterized by three strategies R,P,S, satisfying the non-transitive relations S excludes P, P excludes R, and R excludes S -- serves as a simple prototype for studying more complex non-transitive…

种群与进化 · 定量生物学 2015-12-16 Sebastian J. Schreiber , Timothy P. Killingback