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In Mean Field Games of Controls, the dynamics of the single agent is influenced not only by the distribution of the agents, as in the classical theory, but also by the distribution of their optimal strategies. In this paper, we study…

偏微分方程分析 · 数学 2023-02-01 Fabio Camilli , Claudio Marchi

The study of evolutionary games with pairwise local interactions has been of interest to many different disciplines. Also local interactions with multiple opponents had been considered, although always for a fixed amount of players. In many…

物理与社会 · 物理学 2022-04-06 Natalia L. Kontorovsky , Juan Pablo Pinasco , Federico Vazquez

The emergence and maintenance of cooperation has attracted intensive scholarly interest and has been analysed within the framework of evolutionary game theory. The role of innovation, which introduces novel strategies into the population,…

物理与社会 · 物理学 2019-07-30 Hirofumi Takesue

Repeated interactions are ubiquitous and known to promote social behaviour. While research often focuses on cooperation in the Prisoner's Dilemma, experimental evidence suggests repeated interactions also foster fairness. This study…

适应与自组织系统 · 物理学 2026-04-07 Prosanta Mandal , Arunava Patra , Sagar Chakraborty

We introduce a general methodology of update rules accounting for arbitrary interevent time distributions in simulations of interacting agents. In particular we consider update rules that depend on the state of the agent, so that the update…

物理与社会 · 物理学 2011-07-19 Juan Fernández-Gracia , V. M. Eguíluz , M. San Miguel

We consider evolutionary games on a population whose underlying topology of interactions is determined by a binomial random graph $G(n,p)$. Our focus is on 2-player symmetric games with 2 strategies played between the incident members of…

组合数学 · 数学 2020-11-30 Jordan Chellig , Calina Durbac , Nikolaos Fountoulakis

In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent…

概率论 · 数学 2025-07-24 Giuseppe D'Onofrio , Anderson Melchor Hernandez

In nature and human societies, the effects of homogeneous and heterogeneous characteristics on the evolution of collective behaviors are quite different from each other. It is of great importance to understand the underlying mechanisms of…

综合金融 · 定量金融 2020-10-20 Wen-Juan Xu , Chen-Yang Zhong , Fei Ren , Tian Qiu , Rong-Da Chen , Yun-Xin He , Li-Xin Zhong

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

The problem of natural selection in dispersal-structured populations consisting of individuals characterized by different diffusion coefficients is studied. The competition between the organisms is taken into account through the assumption…

适应与自组织系统 · 物理学 2020-05-01 E. Heinsalu , D. Navidad Maeso , M. Patriarca

We investigate further several properties of the minority game we have recently introduced. We explain the origin of the phase transition and give an analytical expression of $\sigma^2/N$ in the $N\ll2^M$ region. The ability of the players…

统计力学 · 物理学 2015-06-25 Damien Challet , Yi-Cheng Zhang

As automatic optimization techniques find their way into industrial applications, the behavior of many complex systems is determined by some form of planner picking the right actions to optimize a given objective function. In many cases,…

神经与进化计算 · 计算机科学 2018-10-31 Thomas Gabor , Lenz Belzner , Thomy Phan , Kyrill Schmid

Dispersal is an important strategy that allows organisms to locate and exploit favorable habitats. The question arises: given competition in a spatially heterogeneous landscape, what is the optimal rate of dispersal? Continuous population…

种群与进化 · 定量生物学 2010-02-05 Jack N. Waddell , Leonard M. Sander , Charles R. Doering

We present a theory which describes a recently introduced model of an evolving, adaptive system in which agents compete to be in the minority. The agents themselves are able to evolve their strategies over time in an attempt to improve…

凝聚态物理 · 物理学 2009-10-31 T. S. Lo , P. M. Hui , N. F. Johnson

We studied the effect of three strategy updating rules in coevolving prisoner's dilemma games where agents (nodes) can switch both the strategy and social partners. Under two node-based strategy updating rules, strategy updating occurs…

物理与社会 · 物理学 2018-09-25 Hirofumi Takesue

Distributed decision making in multi-agent networks has recently attracted significant research attention thanks to its wide applicability, e.g. in the management and optimization of computer networks, power systems, robotic teams, sensor…

最优化与控制 · 数学 2018-11-13 Carlo Cenedese , Yu Kawano , Sergio Grammatico , Ming Cao

Recent work in iterative voting has defined the additive dynamic price of anarchy (ADPoA) as the difference in social welfare between the truthful and worst-case equilibrium profiles resulting from repeated strategic manipulations. While…

计算机科学与博弈论 · 计算机科学 2023-01-24 Joshua Kavner , Lirong Xia

We discuss the strategy that rational agents can use to maximize their expected long-term payoff in the co-action minority game. We argue that the agents will try to get into a cyclic state, where each of the $(2N +1)$ agent wins exactly…

计量经济学 · 经济学 2018-05-25 Hardik Rajpal , Deepak Dhar

The diversity in wealth and social status is present not only among humans, but throughout the animal world. We account for this observation by generating random variables that determ ine the social diversity of players engaging in the…

物理与社会 · 物理学 2008-03-29 Matjaz Perc , Attila Szolnoki

While multi-agent trust region algorithms have achieved great success empirically in solving coordination tasks, most of them, however, suffer from a non-stationarity problem since agents update their policies simultaneously. In contrast, a…

人工智能 · 计算机科学 2023-02-28 Xihuai Wang , Zheng Tian , Ziyu Wan , Ying Wen , Jun Wang , Weinan Zhang