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We review the recent approaches to modelling financial markets based on multi-agent systems. After a brief summary of the basic stylised facts observed in real-market time-series we discuss some simple agent-based systems which are…

物理与社会 · 物理学 2008-12-02 Tobias Galla , Giancarlo Mosetti , Yi-Cheng Zhang

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

物理与社会 · 物理学 2021-08-12 Seth Frey , Curtis Atkisson

People tend to have their social interactions with members of their own community. Such group-structured interactions can have a profound impact on the behaviors that evolve. Group structure affects the way people cooperate, and how they…

种群与进化 · 定量生物学 2022-11-09 Yohsuke Murase , Christian Hilbe , Seung Ki Baek

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

物理与社会 · 物理学 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

Innovation and evolution are two processes of paramount relevance for social and biological systems. In general, the former allows to introduce elements of novelty, while the latter is responsible for the motion of a system in its phase…

物理与社会 · 物理学 2018-04-11 Marco Antonio Amaral , Marco Alberto Javarone

We study evolutionary game dynamics in a well-mixed populations of finite size, N. A well-mixed population means that any two individuals are equally likely to interact. In particular we consider the average abundances of two strategies, A…

种群与进化 · 定量生物学 2009-02-24 Tibor Antal , Martin A. Nowak , Arne Traulsen

Human societies around the world interact with each other by developing and maintaining social norms, and it is critically important to understand how such norms emerge and change. In this work, we define an evolutionary game-theoretic…

计算机与社会 · 计算机科学 2017-04-18 Soham De , Dana S. Nau , Michele J. Gelfand

According to the fundamental principle of evolutionary game theory, the more successful strategy in a population should spread. Hence, during a strategy imitation process a player compares its payoff value to the payoff value held by a…

物理与社会 · 物理学 2021-07-07 A. Szolnoki , M. Perc

We propose a control-theoretic framework for evolutionary clustering based on Mean Field Games (MFG). Moving beyond static or heuristic approaches, we formulate the problem as a population dynamics game governed by a coupled…

数值分析 · 数学 2026-03-31 Alessio Basti , Fabio Camilli , Adriano Festa

Theory predicts rapid genetic drift during invasions, yet many expanding populations maintain high genetic diversity. We find that genetic drift is dramatically suppressed when dispersal rates increase with the population density because…

种群与进化 · 定量生物学 2019-03-29 Gabriel Birzu , Sakib Matin , Oskar Hallatschek , Kirill S. Korolev

Here we study the effects of adopting different strategies against different opponent instead of adopting the same strategy against all of them in the prisoner dilemma structured in well-mixed populations. We consider an evolutionary…

物理与社会 · 物理学 2015-05-14 Lucas Wardil , Jafferson K. L. da Silva

Starting with Darwin, biologists have asked how populations evolve from a low fitness state that is evolutionarily stable to a high fitness state that is not. Specifically of interest is the emergence of cooperation and multicellularity…

种群与进化 · 定量生物学 2015-11-10 Dervis Can Vural , Alexander Isakov , L. Mahadevan

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

Game theory ideas provide a useful framework for studying evolutionary dynamics in a well-mixed environment. This approach, however, typically enforces a strictly fixed overall population size, deemphasizing natural growth processes. We…

种群与进化 · 定量生物学 2016-08-30 Thiparat Chotibut , David R. Nelson

We study the asymptotic macroscopic properties of the mixed majority-minority game, modeling a population in which two types of heterogeneous adaptive agents, namely ``fundamentalists'' driven by differentiation and ``trend-followers''…

统计力学 · 物理学 2009-11-10 A. De Martino , I. Giardina , G. Mosetti

Different evolutionary models are known to make disparate predictions for the success of an invading mutant in some situations. For example, some evolutionary mechanics lead to amplification of selection in structured populations, while…

种群与进化 · 定量生物学 2020-07-01 Francisco Herrerías-Azcué , Vicente Pérez-Muñuzuri , Tobias Galla

The importance of microscopic details on cooperation level is an intensively studied aspect of evolutionary game theory. Interestingly, these details become crucial on heterogeneous populations where individuals may possess diverse traits.…

物理与社会 · 物理学 2018-08-21 Attila Szolnoki , Zsuzsa Danku

Individual cooperative strategy influences the surrounding dynamic population, which in turn affects cooperative strategy. To better model this phenomenon, we develop a Markov decision chain based game transitions model and examine the…

物理与社会 · 物理学 2025-12-30 Chaoyang Luo , Yuji Zhang , Minyu Feng , Attila Szolnoki

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

计算机科学与博弈论 · 计算机科学 2019-10-29 Chulwook Park

By incorporating market impact and asymmetric sensitivity into the evolutionary minority game, we study the coevolutionary dynamics of stock prices and investment strategies in financial markets. Both the stock price movement and the…

交易与市场微观结构 · 定量金融 2015-06-11 Li-Xin Zhong , Wen-Juan Xu , Fei Ren , Yong-Dong Shi