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Evolutionary game theory is a common framework to study the evolution of cooperation, where it is usually assumed that the same game is played in all interactions. Here, we investigate a model where the game that is played by two…

物理与社会 · 物理学 2015-10-21 Marco A. Amaral , Jafferson K. L. da Silva , Lucas Wardil

We introduce new zeta functions related to an endomorphism $\phi$ of a discrete group $\Gamma$. They are of two types: counting numbers of fixed ($\rho\sim \rho\circ\phi^n$) irreducible representations for iterations of $\phi$ from an…

群论 · 数学 2018-04-11 Alexander Fel'shtyn , Evgenij Troitsky , Malwina Ziętek

An independent set game is a cooperative game defined on graphs and dealing with profit-sharing in maximum independent set problems. A population monotonic allocation scheme is a rule specifying how to share the profit of each coalition…

计算机科学与博弈论 · 计算机科学 2022-07-12 Libing Wang , Han Xiao , Donglei Du , Dachuan Xu

We construct a statistical ensemble of games, where in each independent subensemble we have two players playing the same game. We derive the mean payoffs per move of the representative players of the game, and we evaluate all the…

种群与进化 · 定量生物学 2016-09-08 Rui Dilao , Joao Graciano

A central question in multi-agent strategic games deals with learning the underlying utilities driving the agents' behaviour. Motivated by the increasing availability of large data-sets, we develop an unifying data-driven technique to…

最优化与控制 · 数学 2024-05-27 Anna M. Maddux , Nicolò Pagan , Giuseppe Belgioioso , Florian Dörfler

The paper uses a non-cooperative simultaneous game for coalition structure formation (Levando, 2016) to demonstrate some applications of the introduced game: a cooperation, a Bayesian game within a coalition with intra-coalition…

最优化与控制 · 数学 2016-12-19 Dmitry Levando

A significant element of human cooperative intelligence lies in our ability to identify opportunities for fruitful collaboration; and conversely to recognise when the task at hand is better pursued alone. Research on flexible cooperation in…

多智能体系统 · 计算机科学 2026-03-10 Max Taylor-Davies , Neil Bramley , Christopher G. Lucas

The evolutionary mechanisms of cooperative behavior represent a fundamental topic in complex systems and evolutionary dynamics. Real-world collective interactions, particularly in multi-agent systems, are often characterized by…

适应与自组织系统 · 物理学 2026-02-23 Yishen Jiang , Xin Wang , Wenqiang Zhu , Ming Wei , Longzhao Liu , Shaoting Tang , Hongwei Zheng

The promotion of cooperation on spatial lattices is an important issue in evolutionary game theory. This effect clearly depends on the update rule: it diminishes with stochastic imitative rules whereas it increases with unconditional…

种群与进化 · 定量生物学 2009-11-07 Carlos P. Roca , José A. Cuesta , Angel Sánchez

Cooperative behaviors are defined as the production of common goods benefitting all members of the community at the producer's cost. They could seem to be in contradiction with natural selection, as non-cooperators have an increased fitness…

种群与进化 · 定量生物学 2014-03-17 Bahram Houchmandzadeh

This paper considers a dynamic game with transferable utilities (TU), where the characteristic function is a continuous-time bounded mean ergodic process. A central planner interacts continuously over time with the players by choosing the…

计算机科学与博弈论 · 计算机科学 2012-04-24 Dario Bauso , Puduru Viswanadha Reddy , Tamer Basar

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

理论经济学 · 经济学 2020-06-30 Yuval Heller , Erik Mohlin

It is well known that a non-cooperative game may have multiple equilibria. In this paper we consider the efficiency of games, measured by the ratio between the aggregate payoff over all Nash equilibria and that over all admissible controls.…

计算机科学与博弈论 · 计算机科学 2025-08-20 Jianfeng Zhang

The optimization of facility-based systems is considered. First, the congestion game is converted into a matrix form, so that the matrix approach is applicable. Then, a facility-based system with a system performance criterion is…

最优化与控制 · 数学 2017-12-08 Yaqi Hao , Sisi Pan , Yupeng Qiao , Daizhan Cheng

We study evolutionary game dynamics in finite populations. We analyze an evolutionary process, which we call pairwise comparison, for which we adopt the ubiquitous Fermi distribution function from statistical mechanics. The inverse…

种群与进化 · 定量生物学 2007-05-23 Arne Traulsen , Martin A. Nowak , Jorge M. Pacheco

We introduce nonlinear attractive effects into a spatial Prisoner's Dilemma game where the players located on a square lattice can either cooperate with their nearest neighbors or defect. In every generation, each player updates its…

物理与社会 · 物理学 2007-05-23 Jian-Yue Guan , Zhi-Xi Wu , Zi-Gang Huang , Xin-Jian Xu , Ying-Hai Wang

Incomplete cooperative games generalise the classical model of cooperative games by omitting the values of some of the coalitions. This allows to incorporate uncertainty into the model and study the underlying games as well as possible…

计算机科学与博弈论 · 计算机科学 2025-10-07 Martin Černý , Jan Bok , David Hartman , Milan Hladík

In this paper, we consider the algorithms and convergence for a general optimization problem, which has a wide range of applications in image segmentation, topology optimization, flow network formulation, and surface reconstruction. In…

最优化与控制 · 数学 2024-03-15 Dong Wang , Shangzhi Zeng , Jin Zhang

Creating Non-Player Characters (NPCs) that can react robustly to unforeseen player behaviour or novel game content is difficult and time-consuming. This hinders the design of believable characters, and the inclusion of NPCs in games that…

人工智能 · 计算机科学 2018-06-06 Christian Guckelsberger , Christoph Salge , Julian Togelius

The game dynamical equations are derived from Boltzmann-like equations for individual pair interactions by assuming a certain kind of imitation behavior, the so-called proportional imitation rule. They can be extended to a stochastic…

统计力学 · 物理学 2007-05-23 Dirk Helbing