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We study the evolutionary dynamics of games under environmental feedback using replicator equations for two interacting populations. One key feature is to consider jointly the co-evolution of the dynamic payoff matrices and the state of the…

种群与进化 · 定量生物学 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

A stochastic model for behavioral changes by imitative pair interactions of individuals is developed. `Microscopic' assumptions on the specific form of the imitative processes lead to a stochastic version of the game dynamical equations.…

统计力学 · 物理学 2007-05-23 Dirk Helbing

Multiplayer computer games play a big role in the ever-growing entertainment industry. Being competitive in this industry means releasing the best possible software, and reliability is a key feature to win the market. Computer games are…

软件工程 · 计算机科学 2019-04-22 Ruslan Rezin , Ilya Afanasyev , Manuel Mazzara , Victor Rivera

Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional…

混沌动力学 · 物理学 2009-11-10 Patrick E. McSharry , Leonard A. Smith

Game theory is one of the key paradigms behind many scientific disciplines from biology to behavioral sciences to economics. In its evolutionary form and especially when the interacting agents are linked in a specific social network the…

统计力学 · 物理学 2009-11-11 Gyorgy Szabo , Gabor Fath

To ensure trust in AI models, it is becoming increasingly apparent that evaluation of models must be extended beyond traditional performance metrics, like accuracy, to other dimensions, such as fairness, explainability, adversarial…

机器学习 · 计算机科学 2021-10-01 Moninder Singh , Gevorg Ghalachyan , Kush R. Varshney , Reginald E. Bryant

In this paper, we show that different types of evolutionary game dynamics are, in principle, special cases of a dynamical system model based on our previously reported framework of generalized growth transforms. The framework shows that…

神经与进化计算 · 计算机科学 2018-11-07 Oindrila Chatterjee , Shantanu Chakrabartty

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

Innovations across science and industry are evaluated using randomized trials (a.k.a. A/B tests). While simple and robust, such static designs are inefficient or infeasible for testing many hypotheses. Adaptive designs can greatly improve…

机器学习 · 计算机科学 2024-08-09 Jimmy Wang , Ethan Che , Daniel R. Jiang , Hongseok Namkoong

In a laboratory experiment, round by round, individual interactions should lead to the social evolutionary rotation in population strategy state space. Successive switching the incentive parameter should lead to successive change of the…

统计方法学 · 统计学 2012-07-25 Zhijian Wang , Bin Xu

Game-theoretic solution concepts, such as the Nash equilibrium, have been key to finding stable joint actions in multi-player games. However, it has been shown that the dynamics of agents' interactions, even in simple two-player games with…

多智能体系统 · 计算机科学 2025-05-20 Natalia Koliou , George Vouros

The parameter space of dynamical systems arising in applications is often found to be high-dimensional and difficult to explore. We construct a fast algorithm to numerically analyze "quantitative features" of dynamical systems depending on…

数值分析 · 数学 2008-07-15 Christian Kuehn

While opinion dynamics models have been extensively studied as stylized models, there has been growing attention to the possibility of combining these models with empirical data. This attention seems to be driven by the many social issues…

物理与社会 · 物理学 2026-02-03 Samuel Moor-Smith , Dino Carpentras

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…

物理与社会 · 物理学 2019-03-15 Hai-Jun Zhou

This paper proposes a systems approach to social sciences based on mathematical framework derived from a generalization of the mathematical kinetic theory and on theoretical tools of game theory. Social systems are modeled as a living…

物理与社会 · 物理学 2015-09-14 Giulia Ajmone Marsan , Nicola Bellomo , Livio Gibelli

In population games, a large population of players, modeled as a continuum, is divided into subpopulations, and the fitness or payoff of each subpopulation depends on the overall population composition. Evolutionary dynamics describe how…

最优化与控制 · 数学 2016-09-19 M. A. Mabrok , Jeff Shamma

Evolutionary game theory is a framework to formalize the evolution of collectives ("populations") of competing agents that are playing a game and, after every round, update their strategies to maximize individual payoffs. There are two…

适应与自组织系统 · 物理学 2021-01-05 Sergey Denisov , Olga Vershinina , Juzar Thingna , Peter Hänggi , Mikhail Ivanchenko

Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying…

物理与社会 · 物理学 2024-06-10 Katherine Betz , Feng Fu , Naoki Masuda

We conducted a laboratory experiment involving human subjects to test the theoretical hypothesis that equilibrium selection can be impacted by manipulating the games dynamics process, by using modern control theory. Our findings indicate…

综合经济学 · 经济学 2024-11-12 Wang Zhijian , Shan Lixia , Yao Qinmei , Wang Yijia

Evolutionary game dynamics describes not only frequency dependent genetical evolution, but also cultural evolution in humans. In this context, successful strategies spread by imitation. It has been shown that the details of strategy update…

种群与进化 · 定量生物学 2013-10-07 Arne Traulsen , Dirk Semmann , Ralf D. Sommerfeld , Hans-Juergen Krambeck , Manfred Milinski