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Related papers: Incentive and stability in the Rock-Paper-Scissors…

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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

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

How humans make decisions in non-cooperative strategic interactions is a challenging question. For the fundamental model system of Rock-Paper-Scissors (RPS) game, classic game theory of infinite rationality predicts the Nash equilibrium…

Physics and Society · Physics 2014-07-29 Zhijian Wang , Bin Xu , Hai-Jun Zhou

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

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

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

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

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

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

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…

Populations and Evolution · Quantitative Biology 2015-05-18 Siddharth Venkat , Michel Pleimling

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

Cyclic dominance of three species is a commonly occurring interaction dynamics, often denoted the rock-paper-scissors (RPS) game. Such type of interactions is known to promote species coexistence. Here, we generalize recent results of…

Populations and Evolution · Quantitative Biology 2008-09-11 Matti Peltomaki , Mikko Alava

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

A co-evolving and adaptive Rock (R)-Paper (P)-Scissors (S) game (ARPS) in which an agent uses one of three cyclically dominating strategies is proposed and studied numerically and analytically. An agent takes adaptive actions to achieve a…

Physics and Society · Physics 2016-05-12 Chi Wun Choi , Chen Xu , Pak Ming Hui

What determines species diversity is dramatic concern in science. Here we report the effect of doping on diversity in spatiotemporal rock-paper-scissors (RPS) games, which can be observed directly in ecological, biological and social…

Adaptation and Self-Organizing Systems · Physics 2007-10-11 Wang Zhijian

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

Human-generated randomness is constrained by cognitive, motor, and strategic biases. This study examines how these constraints appear in individual behavior and how they may be modified through interaction with another human. We analyzed…

Physics and Society · Physics 2026-05-20 Song-Ju Kim , Shoma Ohara , Hiroaki Kurokawa

Dynamical mechanisms that can stabilize the coexistence or diversity in biology are generally of fundamental interest. In contrast to many two-strategy evolutionary games, games with three strategies and cyclic dominance like the…

Populations and Evolution · Quantitative Biology 2010-03-15 Markus Schütt , Jens Christian Claussen

This paper analyzes Shinohara Rock-Paper-Scissors (RPS), a variant of the classic RPS game introduced by board game designer Yoshiteru Shinohara. Players compete against a host who always plays rock, so players choose either rock or paper.…

Theoretical Economics · Economics 2025-08-18 Takashi Ui

We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game from the point of view of evolutionary stability. In its classical version the game has a mixed Nash equilibrium (NE) not stable against mutants. We find a…

Quantum Physics · Physics 2009-11-07 A. Iqbal , A. H. Toor
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