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For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

We prove a central limit theorem for network formation models with strategic interactions and homophilous agents. Since data often consists of observations on a single large network, we consider an asymptotic framework in which the network…

Econometrics · Economics 2026-03-11 Michael P. Leung , Hyungsik Roger Moon

This paper studies mean field games for multi-agent systems with control-dependent multiplicative noises. For the general systems with nonuniform agents, we obtain a set of decentralized strategies by solving an auxiliary limiting optimal…

Optimization and Control · Mathematics 2019-06-10 Bing-Chang Wang , Yuan-Hua Ni , Huanshui Zhang

Due to accelerating urbanization, the importance of solving the signal control problem increases. This paper analyzes various existing methods and suggests options for increasing the number of agents to reduce the average travel time.…

Artificial Intelligence · Computer Science 2024-06-21 Maksim Tislenko , Dmitrii Kisilev

This work develops effective distributed strategies for the solution of constrained multi-agent stochastic optimization problems with coupled parameters across the agents. In this formulation, each agent is influenced by only a subset of…

Optimization and Control · Mathematics 2019-03-15 Sulaiman A. Alghunaim , Ali H. Sayed

The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on the probability that each agent has of belonging to a given…

Analysis of PDEs · Mathematics 2019-07-12 Marco Morandotti , Francesco Solombrino

In an emergency situation, the actors need an assistance allowing them to react swiftly and efficiently. In this prospect, we present in this paper a decision support system that aims to prepare actors in a crisis situation thanks to a…

Artificial Intelligence · Computer Science 2008-12-18 Fahem Kebair , Frédéric Serin

We propose an approach to modelling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as limits of…

Computer Science and Game Theory · Computer Science 2022-11-23 Kai Cui , Wasiur R. KhudaBukhsh , Heinz Koeppl

We consider team optimal control of decentralized systems with linear dynamics, quadratic costs, and arbitrary disturbance that consist of multiple sub-populations with exchangeable agents (i.e., exchanging two agents within the same…

Systems and Control · Computer Science 2018-09-19 Jalal Arabneydi , Aditya Mahajan

The paper gives picture of enrichment to economic and financial system analysis using agent-based models as a form of advanced study for financial economic data post-statistical-data analysis and micro-simulation analysis. Theoretical…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Hokky Situngkir , Yohanes Surya

We discuss in a statistical physics framework the idea that ``the whole is less than the parts'', as sometimes advocated by sociologists in view of the intrinsic complexity of humans, and try to reconcile this idea with the statistical…

Physics and Society · Physics 2019-10-23 Eric Bertin , Pablo Jensen

Traditional methods plan feasible paths for multiple agents in the stochastic environment. However, the methods' iterations with the changes in the environment result in computation complexities, especially for the decentralized agents…

Robotics · Computer Science 2024-10-28 Qizhen Wu , Kexin Liu , Lei Chen , Jinhu Lü

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

Turn-taking behaviour is simulated in a coupled agents system. Each agent is modelled as a mobile robot with two wheels. A recurrent neural network is used to produce the motor outputs and to hold the internal dynamics. Agents are developed…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroyuki Iizuka , Takashi Ikegami

Collaborative multi-agent robotic systems where agents coordinate by modifying a shared environment often result in undesired dynamical couplings that complicate the analysis and experiments when solving a specific problem or task.…

Robotics · Computer Science 2022-03-10 Daniel Jarne Ornia , Pedro J Zufiria , Manuel Mazo

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

The recent framework of performative prediction is aimed at capturing settings where predictions influence the target/outcome they want to predict. In this paper, we introduce a natural multi-agent version of this framework, where multiple…

Machine Learning · Computer Science 2022-01-26 Georgios Piliouras , Fang-Yi Yu

Stochastic interactions generically enhance self-diffusivity in living and biological systems, e.g. optimizing navigation strategies and controlling material properties of cellular tissues and bacterial aggregates. Despite this, the…

Soft Condensed Matter · Physics 2024-01-24 Henry Alston , Thibault Bertrand

We propose and investigate a discrete-time mean field game model involving risk-averse agents. The model under study is a coupled system of dynamic programming equations with a Kolmogorov equation. The agents' risk aversion is modeled by…

Optimization and Control · Mathematics 2020-12-29 J. Frédéric Bonnans , Pierre Lavigne , Laurent Pfeiffer

Recent research in multi-agent reinforcement learning (MARL) has shown success in learning social behavior and cooperation. Social dilemmas between agents in mixed-sum settings have been studied extensively, but there is little research…

Artificial Intelligence · Computer Science 2023-05-01 Ram Rachum , Yonatan Nakar , Reuth Mirsky