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Group control of connected and autonomous vehicles on automated highways is challenging for the advanced driver assistance systems (ADAS) and the automated driving systems (ADS). This paper investigates the differential game-based approach…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Hossein B. Jond , Jan Platoš

A distributed Nash equilibrium seeking algorithm is presented for networked games. We assume an incomplete information available to each player about the other players' actions. The players communicate over a strongly connected digraph to…

Systems and Control · Computer Science 2019-12-10 Farzad Salehisadaghiani , Lacra Pavel

We broaden the basis of non-cooperative game theory by considering miscoordination on a solution concept. For any solution concept, we extend the solution set of a strategic-form game to a transition set. This set contains profiles where…

Computer Science and Game Theory · Computer Science 2023-12-05 Gleb Polevoy

We consider strongly monotone games with convex separable coupling constraints, played by dynamical agents, in a partial-decision information scenario. We start by designing continuous-time fully distributed feedback controllers, based on…

Optimization and Control · Mathematics 2021-05-05 Mattia Bianchi , Sergio Grammatico

Game theory finds nowadays a broad range of applications in engineering and machine learning. However, in a derivative-free, expensive black-box context, very few algorithmic solutions are available to find game equilibria. Here, we propose…

Machine Learning · Statistics 2018-02-28 Victor Picheny , Mickael Binois , Abderrahmane Habbal

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

The minority game is a simple congestion game in which the players' main goal is to choose among two options the one that is adopted by the smallest number of players. We characterize the set of Nash equilibria and the limiting behavior of…

Physics and Society · Physics 2007-08-28 Willemien Kets , Mark Voorneveld

We suggest a novel stochastic-approximation algorithm to compute a symmetric Nash-equilibrium strategy in a general queueing game with a finite action space. The algorithm involves a single simulation of the queueing process with dynamic…

Probability · Mathematics 2023-08-30 Liron Ravner , Ran I. Snitkovsky

We study the equilibrium computation problem for two classical resource allocation games: atomic splittable congestion games and multimarket Cournot oligopolies. For atomic splittable congestion games with singleton strategies and…

Computer Science and Game Theory · Computer Science 2022-05-10 Veerle Tan-Timmermans , Tobias Harks

We study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by the minimisation of some cost, related to optimal transport. This cost is not convex in the usual sense in general but it turns out…

Analysis of PDEs · Mathematics 2012-06-29 Adrien Blanchet , Guillaume Carlier

In this paper, we present and analyze the properties of a new class of games - the spatial congestion game (SCG), which is a generalization of the classical congestion game (CG). In a classical congestion game, multiple users share the same…

Computer Science and Game Theory · Computer Science 2010-12-13 Sahand Ahmad , Cem Tekin , Mingyan Liu , Richard Southwell , Jianwei Huang

We put forward a new model of congestion games where agents have uncertainty over the routes used by other agents. We take a non-probabilistic approach, assuming that each agent knows that the number of agents using an edge is within a…

Computer Science and Game Theory · Computer Science 2017-03-28 Reshef Meir , David Parkes

This paper tackles the problem of solving stochastic optimization problems with a decision-dependent distribution in the setting of stochastic strongly-monotone games and when the distributional dependence is unknown. A two-stage approach…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Killian Wood , Ahmed Zamzam , Emiliano Dall'Anese

Computational complexity has been a major challenge in game-theoretic model predictive control (GT-MPC), as real-time solutions to a game (e.g., Nash equilibria (NEs)) have to be computed at each sampling instant of an MPC. This challenge…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Shaoqing Liu , Mushuang Liu

Whilst network coordination games and network anti-coordination games have received a considerable amount of attention in the literature, network games with coexisting coordinating and anti-coordinating players are known to exhibit more…

Computer Science and Game Theory · Computer Science 2021-10-26 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

In dynamic urban logistics, the stochastic emergence of time-sensitive tasks poses a significant optimality challenge for heterogeneous AAVs logistics task allocation. To address this problem, a reinforcement learning enhanced overlapping…

Robotics · Computer Science 2026-05-27 Yuze Zhou , Jingliang Sun , Junzhi Li , Jianxin Zhong , Zihan Wang , Teng Long

Evolutionary anti-coordination games on networks capture real-world strategic situations such as traffic routing and market competition. In such games, agents maximize their utility by choosing actions that differ from their neighbors'…

Computer Science and Game Theory · Computer Science 2024-04-02 Zirou Qiu , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

Many important real-world settings contain multiple players interacting over an unknown duration with probabilistic state transitions, and are naturally modeled as stochastic games. Prior research on algorithms for stochastic games has…

Computer Science and Game Theory · Computer Science 2021-02-19 Sam Ganzfried

A strategy profile in a multi-player game is a Nash equilibrium if no player can unilaterally deviate to achieve a strictly better payoff. A profile is an $\epsilon$-Nash equilibrium if no player can gain more than $\epsilon$ by…

Computer Science and Game Theory · Computer Science 2026-01-27 Ali Asadi , Léonard Brice , Krishnendu Chatterjee , K. S. Thejaswini

This paper addresses the distributed Nash Equilibrium seeking problem for aggregative games, where legitimate players' decisions are affected by potential malicious players. To describe players' behavior, we introduce a novel heterogeneous…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Kai-Yuan Guo , Yan-Wu Wang , Xiao-Kang Liu , Zhi-Wei Liu
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