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This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

最优化与控制 · 数学 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

How cooperation can evolve between players is an unsolved problem of biology. Here we use Hamiltonian dynamics of models of the Ising type to describe populations of cooperating and defecting players to show that the equilibrium fraction of…

种群与进化 · 定量生物学 2018-06-27 Christoph Adami , Arend Hintze

We consider a class of Wasserstein distributionally robust Nash equilibrium problems, where agents construct heterogeneous data-driven Wasserstein ambiguity sets using private samples and radii, in line with their individual risk-averse…

最优化与控制 · 数学 2025-07-18 Georgios Pantazis , Reza Rahimi Baghbadorani , Sergio Grammatico

We develop a scheme based on active learning to compute equilibria in a generalized Nash equilibrium problem (GNEP). Specifically, an external observer (or entity), with little knowledge on the multi-agent process at hand, collects sensible…

最优化与控制 · 数学 2025-05-08 Barbara Franci , Filippo Fabiani , Alberto Bemporad

Ever since Axelrod's seminal work, tournaments served as the main benchmark for evaluating strategies in the Iterated Prisoner's Dilemma (IPD). In this work, we first introduce a strategy for the IPD which outperforms previous tournament…

计算机科学与博弈论 · 计算机科学 2023-03-08 Adrian Hutter

The paper studies the emergence and stability of cooperative behavior in populations of agents who interact among themselves in Prisoner's Dilemma games and who are allowed to choose their partners. The population is then subject to…

无序系统与神经网络 · 物理学 2007-05-23 Pawel Sobkowicz

Altruistic cooperation is costly yet socially desirable. As a result, agents struggle to learn cooperative policies through independent reinforcement learning (RL). Indirect reciprocity, where agents consider their interaction partner's…

多智能体系统 · 计算机科学 2024-08-09 Martin Smit , Fernando P. Santos

In the study of the evolution of cooperation, many mechanisms have been proposed to help overcome the self-interested cheating that is individually optimal in the Prisoners' Dilemma game. These mechanisms include assortative or networked…

物理与社会 · 物理学 2022-05-03 Daniel B. Cooney

Recent empirical studies suggest that heavy-tailed distributions of human activities are universal in real social dynamics [Muchnik, \emph{et al.}, Sci. Rep. \textbf{3}, 1783 (2013)]. On the other hand, community structure is ubiquitous in…

物理与社会 · 物理学 2015-01-14 Zhi-Xi Wu , Zhihai Rong , Han-Xin Yang

A canonical social dilemma arises when finite resources are allocated to a group of people, who can choose to either reciprocate with interest, or keep the proceeds for themselves. What resource allocation mechanisms will encourage levels…

The emergence of complex networks from evolutionary games is studied occurring when agents are allowed to switch interaction partners. For this purpose a coevolutionary iterated Prisoner's Dilemma game is defined on a random network with…

无序系统与神经网络 · 物理学 2007-05-23 Holger Ebel , Stefan Bornholdt

The emergence of mutual cooperation is studied in a spatially extended evolutionary prisoner's dilemma game in which the players are located on the sites of cubic lattices for dimensions d=1, 2, and 3. Each player can choose one of the…

统计力学 · 物理学 2009-10-31 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

In spatial evolutionary games the fitness of each individual is traditionally determined by the payoffs it obtains upon playing the game with its neighbors. Since defection yields the highest individual benefits, the outlook for cooperators…

种群与进化 · 定量生物学 2011-04-04 Zhen Wang , Aleksandra Murks , Wen-Bo Du , Zhi-Hai Rong , Matjaz Perc

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

种群与进化 · 定量生物学 2021-05-18 Feng Huang , Ming Cao , Long Wang

In this paper, we consider a learning problem among non-cooperative agents interacting in a time-varying system. Specifically, we focus on repeated linear quadratic network games, in which the network of interactions changes with time and…

计算机科学与博弈论 · 计算机科学 2023-10-23 Feras Al Taha , Kiran Rokade , Francesca Parise

The emergence and maintenance of cooperation within sizable groups of unrelated humans offer many challenges for our understanding. We propose that the humans' capacity of communication, such as how many and how far away the fellows can…

物理与社会 · 物理学 2009-09-29 Zi-Gang Huang , Sheng-Jun Wang , Xin-Jian Xu , Ying-Hai Wang

Wealthy individuals may be less tempted to defect than those with comparatively low payoffs. To take this into consideration, we introduce coevolutionary success-driven multigames in structured populations. While the core game is always the…

物理与社会 · 物理学 2014-10-17 Attila Szolnoki , Matjaz Perc

The most popular stability notion in games should be Nash equilibrium under the rationality of players who maximize their own payoff individually. In contrast, in many scenarios, players can be (partly) irrational with some unpredictable…

计算机科学与博弈论 · 计算机科学 2017-03-10 Ching-Hua Yu

In spatial games players typically alter their strategy by imitating the most successful or one randomly selected neighbor. Since a single neighbor is taken as reference, the information stemming from other neighbors is neglected, which…

物理与社会 · 物理学 2012-11-01 Xiaofeng Wang , Matjaz Perc , Yongkui Liu , Xiaojie Chen , Long Wang

In this work, we study the distributed Nash equilibrium seeking problem for monotone generalized noncooperative games with set constraints and shared affine inequality constraints. A distributed regularized penalty method is proposed. The…

最优化与控制 · 数学 2021-09-28 Chao Sun , Guoqiang Hu