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We study several variants of the stochastic four-state rock-paper-scissors game or, equivalently, cyclic three-species predator-prey models with conserved total particle density, by means of Monte Carlo simulations on one- and…

Populations and Evolution · Quantitative Biology 2010-11-13 Qian He , Mauro Mobilia , Uwe C. Täuber

We have studied the impact of time-dependent learning capacities of players in the framework of spatial prisoner's dilemma game. In our model, this capacity of players may decrease or increase in time after strategy adoption according to a…

Physics and Society · Physics 2010-09-21 Attila Szolnoki , Zhen Wang , Jinlong Wang , Xiaodan Zhu

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…

Physics and Society · Physics 2019-05-21 D. Bazeia , B. F. de Oliveira , A. Szolnoki

The spatial rock-scissors-paper game (or cyclic Lotka-Volterra system) is extended to study how the spatiotemporal patterns are affected by the constructed backgrounds providing uniform number of neighbors (degree) at each site. On the…

Statistical Mechanics · Physics 2009-11-10 Gyorgy Szabo , Attila Szolnoki , Rudolf Izsak

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…

Physics and Society · Physics 2014-06-17 Bin Xu

This work investigates how biodiversity is affected in a cyclic spatial May-Leonard model with hierarchical and non-hierarchical rules. Here we propose a generalization of the traditional rock-paper-scissors model by considering highly…

Populations and Evolution · Quantitative Biology 2025-05-08 D. Bazeia , M. J. B. Ferreira , B. F. de Oliveira , W. A. dos Santos

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…

Populations and Evolution · Quantitative Biology 2012-06-29 Jeppe Juul , Kim Sneppen , Joachim Mathiesen

We investigate a tritrophic system whose cyclic dominance is modelled by the rock-paper-scissors game. We consider that organisms of one or two species are affected by movement limitations, which unbalances the cyclic spatial game.…

Populations and Evolution · Quantitative Biology 2023-03-13 J. Menezes , S. Rodrigues , S. Batista

We study a six-species Lotka-Volterra type system on different two-dimensional lattices when each species has two superior and two inferior partners. The invasion rates from predator sites to a randomly chosen neighboring prey's site depend…

Statistical Mechanics · Physics 2015-11-26 Matjaz Perc , Attila Szolnoki , Gyorgy Szabo

This work deals with the effects of an apex predator on the cyclic competition among three distinct species that follow the rules of the rock-paper-scissors game. The investigation develops standard stochastic simulations but is motivated…

Biological Physics · Physics 2017-06-22 C. A Souza-Filho , D. Bazeia , J. G. G. S. Ramos

Game dynamics in which three or more strategies are cyclically competitive, as represented by the rock-scissors-paper game, have attracted practical and theoretical interests. In evolutionary dynamics, cyclic competition results in…

Populations and Evolution · Quantitative Biology 2008-03-11 Naoki Masuda

A cyclically dominating three-species ecosystem, modeled within the framework of rock-paper-scissor game, is studied in presence of natural death and an effect of the environment. The environmental impact is parameterized along with the…

Statistical Mechanics · Physics 2024-03-11 Sirshendu Bhattacharyya

We study a variant of the cyclic Lotka-Volterra model with three-agent interactions. Inspired by a multiplayer variation of the Rock-Paper-Scissors game, the model describes an ideal ecosystem in which cyclic competition among three species…

Populations and Evolution · Quantitative Biology 2020-10-09 Filippo Palombi , Stefano Ferriani , Simona Toti

Disease outbreaks affect many ecosystems threatening species that also fight against other natural enemies. We investigate a cyclic game system with $5$ species, whose organisms outcompete according to the rules of a generalised spatial…

Populations and Evolution · Quantitative Biology 2022-05-13 E. Rangel , B. Moura , J. Menezes

Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we observe an interplay between equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2010-07-07 Anton A. Winkler , Tobias Reichenbach , Erwin Frey

We study the spatial rock-paper-scissors model, where resource competitors' cyclic dominance impacts organisms' energy levels. Our model assumes that failed selection interactions can lead to energy loss, reducing the chances of success in…

Populations and Evolution · Quantitative Biology 2023-06-06 J. Menezes , E. Rangel

In this work we focus on a natural class of population protocols whose dynamics are modelled by the discrete version of Lotka-Volterra equations. In such protocols, when an agent $a$ of type (species) $i$ interacts with an agent $b$ of type…

Data Structures and Algorithms · Computer Science 2015-04-01 Jurek Czyzowicz , Leszek Gasieniec , Adrian Kosowski , Evangelos Kranakis , Paul G. Spirakis , Przemyslaw Uznanski

In the realm of evolutionary game theory, standard frameworks typically presuppose that every player possesses comprehensive knowledge and unrestricted access to the entire strategy space. However, real-world human society inherently…

Computer Science and Game Theory · Computer Science 2025-09-30 Feipeng Zhang , Te Wu , Guofeng Zhang , Long Wang

The Rock-Scissors-Paper game has been studied to account for cyclic behaviour under various game dynamics. We use a two-person parametrised version of this game. The cyclic behaviour is observed near a heteroclinic cycle, in a heteroclinic…

Dynamical Systems · Mathematics 2020-01-01 Liliana Garrido-da-Silva , Sofia B. S. D. Castro

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Christoph Hauert