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The framework of Mean-field Games (MFGs) is used for modelling the collective dynamics of large populations of non-cooperative decision-making agents. We formulate and analyze a kinetic MFG model for an interacting system of non-cooperative…

Optimization and Control · Mathematics 2024-07-29 Piyush Grover , Mandy Huo

We present an agent-based model of microscopic wealth exchange in a dynamic network to study the topological features associated with economic inequality. The model evolves through two alternating processes, the conservative exchange of…

Physics and Society · Physics 2024-08-30 Gustavo Kohlrausch , Sebastián Gonçalves

It is often beneficial for agents to pool their resources in order to better accommodate fluctuations in individual demand. Many multi-round resource allocation mechanisms operate in an online manner: in each round, the agents specify their…

Computer Science and Game Theory · Computer Science 2022-08-02 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

Organizations consist of individuals connected by their responsibilities, incentives, and reporting structure. These connections are aptly represented by a network, hierarchical or other, which is often used to divide tasks. A primary goal…

Computer Science and Game Theory · Computer Science 2017-03-09 Swaprava Nath , Balakrishnan , Narayanaswamy

In this work, we consider a population composed of a continuum of agents that seek to maximize a payoff function by moving on a network. The nodes in the network may represent physical locations or abstract choices. The population is…

Optimization and Control · Mathematics 2020-12-24 Nirabhra Mandal , Pavankumar Tallapragada

We study discrete-time, finite-state mean-field games (MFGs) under model uncertainty, where agents face ambiguity about the state transition probabilities. Each agent maximizes its expected payoff against the worst-case transitions within…

Optimization and Control · Mathematics 2026-01-21 Zongxia Liang , Zhou Zhou , Yaqi Zhuang , Bin Zou

Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

Theoretical Economics · Economics 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

This paper examines the impact of agents' myopic optimization on the efficiency of systems comprised by many selfish agents. In contrast to standard congestion games where agents interact in a one-shot fashion, in our model each agent…

Computer Science and Game Theory · Computer Science 2025-04-30 Yunpeng Li , Antonis Dimakis , Costas A. Courcoubetis

We consider competitive facility location as a two-stage multi-agent system with two types of clients. For a given host graph with weighted clients on the vertices, first facility agents strategically select vertices for opening their…

Computer Science and Game Theory · Computer Science 2024-07-10 Simon Krogmann , Pascal Lenzner , Alexander Skopalik , Marc Uetz , Marnix C. Vos

We are looking for the agent-based treatment of the financial markets considering necessity to build bridges between microscopic, agent based, and macroscopic, phenomenological modeling. The acknowledgment that agent-based modeling…

Statistical Finance · Quantitative Finance 2019-01-01 V. Gontis , A. Kononovicius

This paper studies a general class of stochastic population processes in which agents interact with one another over a network. Agents update their behaviors in a random and decentralized manner according to a policy that depends only on…

Probability · Mathematics 2023-07-21 Anirudh Sridhar , Soummya Kar

We explore the application of a new theory of Semantic Information to the well-motivated problem of a resource foraging agent. Semantic information is defined as the subset of correlations, measured via the transfer entropy, between agent…

In the one-dimensional facility assignment problem, m facilities and n agents are positioned along the real line. Each agent will be assigned to a single facility to receive service. Each facility incurs a building cost, which is shared…

Computer Science and Game Theory · Computer Science 2024-04-16 Mengfan Ma , Mingyu Xiao , Tian Bai , Xin Cheng

In this paper, we study which data can be induced by a correlated equilibrium given a known finite simultaneous move game. We assume that an analyst has access to the frequency of each agent's actions but does not have access to the…

Theoretical Economics · Economics 2026-03-03 Christopher P. Chambers , Maxime Cugnon de Sévricourt , Christopher Turansick

We develop a model of the behaviour of a dynamically optimizing economic agent who makes consumption-saving and spatial relocation decisions. We formulate an existence result for the model, derive the necessary conditions for optimality and…

Optimization and Control · Mathematics 2007-05-23 Iordan Iordanov , Andrey Vassilev

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…

Analysis of PDEs · Mathematics 2023-02-01 Fabio Camilli , Claudio Marchi

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

Coordination games describe social or economic interactions in which the adoption of a common strategy has a higher payoff. They are classically used to model the spread of conventions, behaviors, and technologies in societies. Here we…

Computer Science and Game Theory · Computer Science 2008-12-02 Andrea Montanari , Amin Saberi

This research investigates the impact of dynamic, time-varying interactions on cooperative behaviour in social dilemmas. Traditional research has focused on deterministic rules governing pairwise interactions, yet the impact of interaction…

Physics and Society · Physics 2024-08-20 Yujie He , Tianyu Ren , Xiao-Jun Zeng , Huawen Liang , Liukai Yu , Junjun Zheng