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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

This paper investigates an energy conservation and dissipation -- passivity -- aspect of dynamic models in evolutionary game theory. We define a notion of passivity using the state-space representation of the models, and we devise…

Optimization and Control · Mathematics 2018-03-22 Shinkyu Park , Jeff S. Shamma , Nuno C. Martins

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

Evolutionary game theory combines game theory and dynamical systems and is customarily adopted to describe evolutionary dynamics in multi-agent systems. In particular, it has been proven to be a successful tool to describe multi-agent…

Computer Science and Game Theory · Computer Science 2013-04-05 Nicola Gatti , Fabio Panozzo , Marcello Restelli

Game dynamics structure (e.g., endogenous cycle motion) in human subjects game experiments can be predicted by game dynamics theory. However, whether the structure can be controlled by mechanism design to a desired goal is not known. Here,…

Theoretical Economics · Economics 2022-03-14 Wang Zhijian

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

This paper deals with modeling of network's dynamic using evolutionary games approach. Today there are many different protocols for data transmission through the Internet, providing users with better or worse service. The process of…

Computer Science and Game Theory · Computer Science 2017-08-02 Oleksii Ignatenko , Oleksandr Synetskyi

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

Evolutionary dynamics provides an iconic relationship --- the periodic frequency of a game is determined by the payoff matrix of the game. This paper reports the first experimental evidence to demonstrate this relationship. Evidence comes…

Adaptation and Self-Organizing Systems · Physics 2015-03-20 Bin Xu , Shuang Wang , Zhijian Wang

Game dynamics theory, as a field of science, the consistency of theory and experiment is essential. In the past 10 years, important progress has been made in the merging of the theory and experiment in this field, in which dynamics cycle is…

Theoretical Economics · Economics 2024-11-13 Zhijian Wang , Shujie Zhou , Qinmei Yao , Yijia Wang

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

A model needs to make verifiable predictions to have any scientific value. In opinion dynamics, the study of how individuals exchange opinions with one another, there are many theoretical models which attempt to model opinion exchange, one…

Physics and Society · Physics 2023-01-11 Johnathan A. Adams , Gentry White , Robyn P. Araujo

We discuss the long-run behavior of stochastic dynamics of many interacting players in spatial evolutionary games. In particular, we investigate the effect of the number of players and the noise level on the stochastic stability of Nash…

Statistical Mechanics · Physics 2009-11-07 Jacek Miekisz

Our research is concerned with studying behavioural changes within a dynamic system, i.e. health care, and their effects on the decision-making process. Evolutionary Game theory is applied to investigate the most probable strategy(ies)…

Computer Science and Game Theory · Computer Science 2019-09-10 Zainab Alalawi , Yifeng Zeng , The Anh Han , Aiman Elragig

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

Computer Science and Game Theory · Computer Science 2026-05-28 Bharat Gangwani , Arunesh Sinha

Promoting behavioural diversity is critical for solving games with non-transitive dynamics where strategic cycles exist, and there is no consistent winner (e.g., Rock-Paper-Scissors). Yet, there is a lack of rigorous treatment for defining…

Artificial Intelligence · Computer Science 2021-06-11 Nicolas Perez Nieves , Yaodong Yang , Oliver Slumbers , David Henry Mguni , Ying Wen , Jun Wang

Evolutionary game theory has impacted many fields of research by providing a mathematical framework for studying the evolution and maintenance of social and moral behaviors. This success is owed in large part to the demonstration that the…

Physics and Society · Physics 2024-06-03 José F. Fontanari

Players of coevolutionary games may update not only their strategies but also their networks of interaction. Based on interpreting the payoff of players as fitness, dynamic landscape models are proposed. The modeling procedure is carried…

Populations and Evolution · Quantitative Biology 2017-03-16 Hendrik Richter

Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The…

Populations and Evolution · Quantitative Biology 2015-12-07 Bijan Sarkar

Game-based decision-making involves reasoning over both world dynamics and strategic interactions among the agents. Typically, empirical models capturing these respective aspects are learned and used separately. We investigate the potential…

Multiagent Systems · Computer Science 2023-05-24 Max Olan Smith , Michael P. Wellman
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