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The behaviour of multi-agent learning in many player games has been shown to display complex dynamics outside of restrictive examples such as network zero-sum games. In addition, it has been shown that convergent behaviour is less likely to…

计算机科学与博弈论 · 计算机科学 2023-07-27 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras

This paper proposes a new equilibrium concept "robust perfect equilibrium" for non-cooperative games with a continuum of players, incorporating three types of perturbations. Such an equilibrium is shown to exist (in symmetric mixed…

理论经济学 · 经济学 2021-05-06 Enxian Chen , Lei Qiao , Xiang Sun , Yeneng Sun

We study the distribution of strategies in a large game that models how agents choose among different double auction markets. We classify the possible mean field Nash equilibria, which include potentially segregated states where an agent…

计算机科学与博弈论 · 计算机科学 2018-09-05 Robin Nicole , Peter Sollich

This paper analyses how risk-taking behaviour and preferences over consumption rank can emerge as a neutrally stable equilibrium when individuals face an anti-coordination task. If in an otherwise homogeneous society information about…

理论经济学 · 经济学 2023-03-07 Manuel Staab

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

The main approach to evaluating communication is by assessing how well it facilitates coordination. If two or more individuals can coordinate through communication, it is generally assumed that they understand one another. We investigate…

人工智能 · 计算机科学 2025-09-30 Nikolaos Kondylidis , Anil Yaman , Frank van Harmelen , Erman Acar , Annette ten Teije

We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a state with the maximal payoff (fitness) and a risk-dominant…

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

A critical aspect in strategic modeling of transportation systems is user heterogeneity. In many real-world scenarios, e.g., when tolls are charged and drivers have different trade-offs between time and money, or when they get informed…

计算机科学与博弈论 · 计算机科学 2022-09-23 Leonardo Cianfanelli , Giacomo Como , Tommaso Toso

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

物理与社会 · 物理学 2015-05-14 Dirk Helbing , Anders Johansson

We formulate and study a general time-varying multi-agent system where players repeatedly compete under incomplete information. Our work is motivated by scenarios commonly observed in online advertising and retail marketplaces, where agents…

计算机科学与博弈论 · 计算机科学 2025-05-27 Ludovico Crippa , Yonatan Gur , Bar Light

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

适应与自组织系统 · 物理学 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

Understanding and predicting the behavior of large-scale multi-agents in games remains a fundamental challenge in multi-agent systems. This paper examines the role of heterogeneity in equilibrium formation by analyzing how smooth…

计算机科学与博弈论 · 计算机科学 2025-07-24 Die Hu , Shuyue Hu , Chunjiang Mu , Shiqi Fan , Chen Chu , Jinzhuo Liu , Zhen Wang

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

We study uncoordinated matching markets with additional local constraints that capture, e.g., restricted information, visibility, or externalities in markets. Each agent is a node in a fixed matching network and strives to be matched to…

计算机科学与博弈论 · 计算机科学 2014-09-16 Martin Hoefer , Lisa Wagner

We establish the existence and uniqueness of distributed equilibria to possibly nonsymmetric $N$ player differential games with interactions through controls under displacement semimonotonicity assumptions. Surprisingly, the nonseparable…

偏微分方程分析 · 数学 2026-04-01 Hei Jie Lam , Alpár R. Mészáros

This work studies Nash equilibria for games where a mixture of coordinating and anti-coordinating agents, with possibly heterogeneous thresholds, coexist and interact through an all-to-all network. Whilst games with only coordinating or…

计算机科学与博弈论 · 计算机科学 2021-06-18 Martina Vanelli , Laura Arditti , Giacomo Como , Fabio Fagnani

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

综合经济学 · 经济学 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

We consider 2-player stochastic games with perfectly observed actions, and study the limit, as the discount factor goes to one, of the equilibrium payoffs set. In the usual setup where current states are observed by the players, we show…

最优化与控制 · 数学 2014-12-11 Jérôme Renault , Bruno Ziliotto

Coordination games have been of interest to game theorists, economists, and ecologists for many years to study such problems as the emergence of local conventions and the evolution of cooperative behavior. Approaches for understanding the…

计算机科学与博弈论 · 计算机科学 2025-07-09 John S. McAlister , Nina H. Fefferman

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

系统与控制 · 电气工程与系统科学 2023-02-16 Yiheng Fu , Pouria Ramazi