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We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves stochastically with their actions. A player's reward depends…

系统与控制 · 电气工程与系统科学 2025-11-04 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

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…

计算机科学与博弈论 · 计算机科学 2013-04-05 Nicola Gatti , Fabio Panozzo , Marcello Restelli

An evolutionary game model is developed to study the interplay between consumers and producers when trade takes place on an e-commerce marketplace. The type of delivery service available and consumers' taste are particularly important…

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

物理与社会 · 物理学 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

Current social networks are of extremely large-scale generating tremendous information flows at every moment. How information diffuse over social networks has attracted much attention from both industry and academics. Most of the existing…

社会与信息网络 · 计算机科学 2015-06-18 Chunxiao Jiang , Yan Chen , K. J. Ray Liu

This article investigates an evolutionary game based on the framework of interacting particle systems. Each point of the square lattice is occupied by a player who is characterized by one of two possible strategies and is attributed a…

概率论 · 数学 2015-05-19 N. Lanchier

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

In the evolving digital landscape, it is crucial to study the dynamics of cyberattacks and defences. This study uses an Evolutionary Game Theory (EGT) framework to investigate the evolutionary dynamics of attacks and defences in cyberspace.…

计算机科学与博弈论 · 计算机科学 2025-05-27 Adeela Bashir , Zia Ush Shamszaman , Zhao Song , The Anh Han

We propose a game-theoretic dynamics of a population of replicating individuals. It consists of two parts: the standard replicator one and a migration between two different habitats. We consider symmetric two-player games with two…

种群与进化 · 定量生物学 2007-05-23 Jacek Miekisz , Tadeusz Platkowski

In evolutionary game theory, it is customary to be partial to the dynamical models possessing fixed points so that they may be understood as the attainment of evolutionary stability, and hence, Nash equilibrium. Any show of periodic or…

种群与进化 · 定量生物学 2021-02-23 Archan Mukhopadhyay , Sagar Chakraborty

The analysis of equilibrium points in random games has been of great interest in evolutionary game theory, with important implications for understanding of complexity in a dynamical system, such as its behavioural, cultural or biological…

偏微分方程分析 · 数学 2018-07-09 Manh Hong Duong , Hoang Minh Tran , The Anh Han

Evolutionary game theory is a powerful framework for studying evolution in populations of interacting individuals. A common assumption in evolutionary game theory is that interactions are symmetric, which means that the players are…

种群与进化 · 定量生物学 2016-05-04 Alex McAvoy , Christoph Hauert

Evolutionary anti-coordination games on networks capture real-world strategic situations such as traffic routing and market competition. In such games, agents maximize their utility by choosing actions that differ from their neighbors'…

计算机科学与博弈论 · 计算机科学 2024-04-02 Zirou Qiu , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

We study a mathematical model to describe the evolution of a city, which is determined by the interaction of two large populations of agents, workers and firms. The map of the city is described by a network with the edges representing at…

最优化与控制 · 数学 2024-08-12 Fabio Camilli , Adriano Festa , Luciano Marzufero

We model the evolution of the Internet at the Autonomous System level as a process of competition for users and adaptation of bandwidth capability. We find the exponent of the degree distribution as a simple function of the growth rates of…

无序系统与神经网络 · 物理学 2009-11-10 M. Angeles Serrano , Marian Boguna , Albert Diaz-Guilera

I consider a family of games with corresponding payoff matrices, parametrized by the parameter The informal question of interest is: what game is the best? Instead of attempting to suggest a more or less arbitrary definition of the best…

种群与进化 · 定量生物学 2024-09-20 Georgiy Karev

We propose a new evolutionary dynamics for population games with a discrete strategy set, inspired by the theory of optimal transport and Mean field games. The dynamics can be described as a Fokker-Planck equation on a discrete strategy…

最优化与控制 · 数学 2018-11-14 Shui-Nee Chow , Wuchen Li , Jun Lu , Haomin Zhou

Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

物理与社会 · 物理学 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

Evolutionary game dynamics in structured populations are strongly affected by updating rules. Previous studies usually focus on imitation-based rules, which rely on payoff information of social peers. Recent behavioral experiments suggest…

种群与进化 · 定量生物学 2018-10-02 Lei Zhou , Bin Wu , Jinming Du , Long Wang

In this paper, we consider the problem of network design on network games. We study the conditions on the adjacency matrix of the underlying network to design a game such that the Nash equilibrium coincides with the social optimum. We…

计算机科学与博弈论 · 计算机科学 2022-09-13 Abhishek Shende , Deepanshu Vasal , Sriram Vishwanath