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We introduce a new mean field kinetic model for systems of rational agents interacting in a game theoretical framework. This model is inspired from non-cooperative anonymous games with a continuum of players and Mean-Field Games. The large…

Mathematical Physics · Physics 2012-12-27 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

Trajectory planning involving multi-agent interactions has been a long-standing challenge in the field of robotics, primarily burdened by the inherent yet intricate interactions among agents. While game-theoretic methods are widely…

Robotics · Computer Science 2025-07-17 Zhenmin Huang , Yusen Xie , Benshan Ma , Shaojie Shen , Jun Ma

The classical game theory models rational players and proposes Nash equilibrium (NE) as the solution. However, real-world scenarios rarely feature rational players; instead, players make inconsistent and irrational decisions. Often,…

Computer Science and Game Theory · Computer Science 2024-06-07 Khushboo Agarwal , Konstantin Avrachenkov , Veeraruna Kavitha , Raghupati Vyas

Predicting selfish behavior in public environments by considering Nash equilibria is a central concept of game theory. For the dynamic traffic assignment problem modeled by a flow over time game, in which every particle tries to reach its…

Optimization and Control · Mathematics 2020-07-06 Hoang Minh Pham , Leon Sering

The emergent collective motion of active agents - in particular pedestrians - at a three-way intersection is studied by Langevin simulations of cognitive intelligent active Brownian particles (iABPs) with directed visual perception and…

Statistical Mechanics · Physics 2024-05-30 Priyanka Iyer , Rajendra Singh Negi , Andreas Schadschneider , Gerhard Gompper

In modern transportation networks, adversaries can manipulate routing algorithms using false data injection attacks, such as simulating heavy traffic with multiple devices running crowdsourced navigation applications, to mislead vehicles…

Artificial Intelligence · Computer Science 2026-03-13 Taha Eghtesad , Yevgeniy Vorobeychik , Aron Laszka

In this paper, we study a routing and travel-mode choice problem for mobility systems with a multimodal transportation network as a ``mobility game" with coupled action sets. We develop a game-theoretic framework to study the impact on…

Computer Science and Game Theory · Computer Science 2022-12-15 Ioannis Vasileios Chremos , Andreas A. Malikopoulos

This paper presents a model of multi-group Bayesian games (MBGs) to describe the group behavior in Bayesian games, and gives methods to find (strongly) multi-group Bayesian Nash equilibria (MBNE) of this model with a proposed…

Computer Science and Game Theory · Computer Science 2025-10-03 Hongxing Yuan , Xuan Zhang , Chunyu Wei , Yushun Fan

The dense deployment of small-cell base stations in HetSNets requires efficient resource allocation techniques. More precisely, the problem of associating users to SBSs must be revised and carefully studied. This problem is NP-hard and…

Computer Science and Game Theory · Computer Science 2015-08-04 Zoubeir Mlika , Elmahdi Driouch , Wessam Ajib , Halima Elbiaze

In an emergency situation, the evacuation of a large crowd from a complex building can become slow or even dangerous without a working evacuation plan. The use of rescue guides that lead the crowd out of the building can improve the…

Physics and Society · Physics 2021-08-23 Anton von Schantz , Harri Ehtamo

This article studies rational and persistent deception among intelligent robots to enhance security and operational efficiency. We present an N-player K-stage game with an asymmetric information structure where each robot's private…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Linan Huang , Quanyan Zhu

Identifying and quantifying factors influencing human decision making remains an outstanding challenge, impacting the performance and predictability of social and technological systems. In many cases, system failures are traced to human…

Distance control in many-particle systems is a fundamental problem in nature. This becomes particularly relevant in systems of active agents, which can sense their environment and react by adjusting their direction of motion. We employ…

Biological Physics · Physics 2024-06-04 Rajendra Singh Negi , Priyanka Iyer , Gerhard Gompper

There has been substantial progress on finding game-theoretic equilibria. Most of that work has focused on games with finite, discrete action spaces. However, many games involving space, time, money, and other fine-grained quantities have…

Computer Science and Game Theory · Computer Science 2025-10-28 Carlos Martin , Tuomas Sandholm

Inspired by the path coordination problem arising from robo-taxis, warehouse management, and mixed-vehicle routing problems, we model a group of heterogeneous players responding to stochastic demands as a congestion game under Markov…

Multiagent Systems · Computer Science 2022-07-06 Sarah H. Q. Li , Dan Calderone , Behcet Acikmese

We conducted numerical simulation for a crowd of pedestrians. Each pedestrian, modeled with three circles, has a shape whose long axis is perpendicular to the anteroposterior axis, and is designed to move fixed destination. The pedestrians…

Physics and Society · Physics 2022-11-24 Sho Yajima , Kiwamu Yoshii , Yutaka Sumino

Currently, there is an increasing number of super high-rise buildings in urban cities, the issue of evacuation in emergencies from such buildings comes to the fore. An evacuation experiment was carried out by our group in Shanghai Tower, it…

Physics and Society · Physics 2021-01-05 Xingpeng Xu , Zhiming Fang , Rui Ye , Zhongyi Huang , Yao Lu

One of the objectives of the pedestrian analysis is to evaluate the effects of proposed policy on the pedestrian facilities before its implementation. The implementation of a policy without pedestrian analysis might lead to a very costly…

Physics and Society · Physics 2016-10-05 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura

Dense granular flows through constrictions, as well as competitive pedestrian evacuations, are hindered by a propensity to form clogs. We usesimulations of model pedestrians and experiments with granular disks to explore an original…

Physics and Society · Physics 2018-08-29 Alexandre Nicolas , Santiago Ibáñez , Marcelo Kuperman , Sebastián Bouzat

Nash Equilibrium (NE) is the canonical solution concept of game theory, which provides an elegant tool to understand the rationalities. Though mixed strategy NE exists in any game with finite players and actions, computing NE in two- or…

Computer Science and Game Theory · Computer Science 2024-05-07 Xinrun Wang , Chang Yang , Shuxin Li , Pengdeng Li , Xiao Huang , Hau Chan , Bo An
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