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Rock-Paper-Scissors (RPS), a game of cyclic dominance, is not merely a popular children's game but also a basic model system for studying decision-making in non-cooperative strategic interactions. Aimed at students of physics with no…

Physics and Society · Physics 2019-03-15 Hai-Jun Zhou

The Rock-Paper-Scissors(RPS) game is a paradigmatic model for cyclic dominance in biological systems. Here we consider this game in the social context of competition between opinions in a networked society. In our model, every agent has an…

Adaptation and Self-Organizing Systems · Physics 2010-11-08 Güven Demirel , Roshan Prizak , P. Nitish Reddy , Thilo Gross

The Rock-Paper-Scissors (RPS) game is a widely used model system in game theory. Evolutionary game theory predicts the existence of persistent cycles in the evolutionary trajectories of the RPS game, but experimental evidence has remained…

Adaptation and Self-Organizing Systems · Physics 2013-08-13 Bin Xu , Hai-Jun Zhou , Zhijian Wang

In a two-person Rock-Paper-Scissors (RPS) game, if we set a loss worth nothing and a tie worth 1, and the payoff of winning (the incentive a) as a variable, this game is called as generalized RPS game. The generalized RPS game is a…

Physics and Society · Physics 2014-07-07 Zhijian Wang , Bin Xu

In an iterated non-cooperative game, if all the players act to maximize their individual accumulated payoff, the system as a whole usually converges to a Nash equilibrium that poorly benefits any player. Here we show that such an…

Physics and Society · Physics 2015-06-22 Zedong Bi , Hai-Jun Zhou

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…

Physics and Society · Physics 2016-10-26 Pablo A. Valverde , Roberto da Silva , Eduardo V. Stock

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

Recent theories from complexity science argue that complex dynamics are ubiquitous in social and economic systems. These claims emerge from the analysis of individually simple agents whose collective behavior is surprisingly complicated.…

Adaptation and Self-Organizing Systems · Physics 2013-04-19 Seth Frey , Robert L. Goldstone

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

Organisms may respond to local stimuli that benefit or threaten their fitness. The adaptive movement behaviour may allow individuals to adjust their speed to maximise the chances of being in comfort zones, where death risk is minimal. We…

Populations and Evolution · Quantitative Biology 2022-12-27 M. Tenorio , E. Rangel , J. Menezes

The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and biology to economics. Many experimental results of the RPS…

Dynamical Systems · Mathematics 2021-02-25 José Pedro Gaivão , Telmo Peixe

We model a situation in which a collection of species derive their fitnesses via a rock-paper-scissors-type game; however, the precise payoffs are a function of the environment. The new aspect of our model lies in adding a feedback loop:…

Dynamical Systems · Mathematics 2017-11-01 Tung Mai , Ioannis Panageas , Will Ratcliff , Vijay V. Vazirani , Peter Yunker

Game theory is widely used as a behavioral model for strategic interactions in biology and social science. It is common practice to assume that players quickly converge to an equilibrium, e.g. a Nash equilibrium. This can be studied in…

Physics and Society · Physics 2018-09-20 Marco Pangallo , Torsten Heinrich , J Doyne Farmer

We consider an example of cyclic competition bimatrix game which is a Rock-Scissors-Paper game with assumption about perfect memory of the playing agents. At first we investigate the dynamics in the neighbourhood of the Nash equilibrium as…

Dynamical Systems · Mathematics 2016-09-06 Cezary Olszowiec

Many studies have shown that humans are "predictably irrational": they do not act in a fully rational way, but their deviations from rational behavior are quite systematic. Our goal is to see the extent to which we can explain and justify…

Computer Science and Game Theory · Computer Science 2023-07-27 Xinming Liu , Joseph Y. Halpern

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt

We study the role of the adaptive movement strategy in promoting biodiversity in cyclic models described by the rock-paper-scissors game rules. We assume that individuals of one out of the species may adjust their movement to escape hostile…

Populations and Evolution · Quantitative Biology 2022-12-27 J. Menezes , M. Tenorio , E. Rangel

We investigate the adaptive Ambush strategy in cyclic models following the rules of the spatial rock-paper-scissors game. In our model, individuals of one species possess cognitive abilities to perceive environmental cues and assess the…

Populations and Evolution · Quantitative Biology 2025-10-21 J. Menezes , R. Barbalho

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…

Physics and Society · Physics 2014-06-19 Attila Szolnoki , Jeromos Vukov , Matjaz Perc

Predicting and modeling human behavior and finding trends within human decision-making processes is a major problem of social science. Rock Paper Scissors (RPS) is the fundamental strategic question in many game theory problems and…

Computer Science and Game Theory · Computer Science 2020-11-24 Lei Wang , Wenbin Huang , Yuanpeng Li , Julian Evans , Sailing He
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