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Adversarial optimal transport has been proven useful as a mathematical formulation to model resource allocation problems to maximize the efficiency of transportation with an adversary, who modifies the data. It is often the case, however,…

Computer Science and Game Theory · Computer Science 2024-03-05 Yinan Hu , Juntao Chen , Quanyan Zhu

In this paper we propose and analyze a class of $N$-player stochastic games that include finite fuel stochastic games as a special case. We first derive sufficient conditions for the Nash equilibrium (NE) in the form of a verification…

Mathematical Finance · Quantitative Finance 2021-10-26 Xin Guo , Wenpin Tang , Renyuan Xu

Platooning of heavy-duty vehicles (HDVs) is a key component of smart and connected highways and is expected to bring remarkable fuel savings and emission reduction. In this paper, we study the coordination of HDV platooning on a highway…

Systems and Control · Computer Science 2019-10-01 Xi Xiong , Erdong Xiao , Li Jin

We consider constrained linear-quadratic dynamic games arising in autonomous vehicle platooning, intersection crossing and other cooperative driving scenarios. Infinite-horizon Nash equilibria are reformulated as receding-horizon affine…

Optimization and Control · Mathematics 2026-05-05 Reza Rahimi Baghbadorani , Sergio Grammatico

Evacuation planning is an essential part of disaster management where the goal is to relocate people under imminent danger to safety. However, finding jointly optimal evacuation routes and schedule that minimizes the average evacuation time…

Computer Science and Game Theory · Computer Science 2024-11-19 Kazi Ashik Islam , Da Qi Chen , Madhav Marathe , Henning Mortveit , Samarth Swarup , Anil Vullikanti

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

A game-theoretic model is proposed to study the cross-layer problem of joint power and rate control with quality of service (QoS) constraints in multiple-access networks. In the proposed game, each user seeks to choose its transmit power…

Information Theory · Computer Science 2007-07-16 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz , Radu V. Balan

Public vehicle (PV) systems are promising transportation systems for future smart cities which provide dynamic ride-sharing services according to passengers' requests. PVs are driverless/self-driving electric vehicles which require frequent…

Systems and Control · Computer Science 2017-12-29 Ming Zhu , Xiao-Yang Liu , Xiaodong Wang

Nash equilibrium serves as a fundamental mathematical tool in economics and game theory. However, it classically assumes knowledge of player utilities, whereas economics generally regards preferences as more fundamental. To leverage…

Computer Science and Game Theory · Computer Science 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

A Nash Equilibrium (NE) is a strategy profile resilient to unilateral deviations, and is predominantly used in the analysis of multiagent systems. A downside of NE is that it is not necessarily stable against deviations by coalitions. Yet,…

Computer Science and Game Theory · Computer Science 2014-01-16 Michal Feldman , Tami Tamir

This article explores the interaction of two agents during a geopolitical operation. Collaborative work is considered, rather than being done alone. However, each agent has the goal of maximizing personal net profit. We will have 3…

Optimization and Control · Mathematics 2024-05-20 O. A. Malafeyev , V. Vekovtsev

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

Optimization and Control · Mathematics 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

This paper introduces a novel class of multi-stage resource allocation games that model real-world scenarios in which profitability depends on the balance between supply and demand, and where higher resource investment leads to greater…

Computer Science and Game Theory · Computer Science 2025-07-21 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

Platoons, vehicles that travel very close together acting as one, promise to improve road usage on freeways and city roads alike. We study platoon formation in the context of same-day delivery in urban environments. Multiple self-interested…

Multiagent Systems · Computer Science 2021-03-02 Sînziana-Maria Sebe , Jörg P. Müller

In this contribution, the performance of a multi-user system is analyzed in the context of frequency selective fading channels. Using game theoretic tools, a useful framework is provided in order to determine the optimal power allocation…

Information Theory · Computer Science 2016-11-18 Nicolas Bonneau , Mérouane Debbah , Eitan Altman , Are Hjørungnes

Platooning is a promising cooperative driving application for future intelligent transportation systems. In order to assign vehicles to platoons, some algorithm for platoon formation is required. Such vehicle-to-platoon assignments have to…

Multiagent Systems · Computer Science 2025-06-17 Julian Heinovski , Falko Dressler

The wide deployment of distributed renewable energy sources and electric vehicles can help mitigate climate crisis. This necessitates new business models in the power sector to hedge against uncertainties while imposing a strong coupling…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Dongxiang Yan , Tongxin Li , Changhong Zhao , Han Wang , Yue Chen

We consider a game of decentralized timing of jobs to a single server (machine) with a penalty for deviation from a due date, and no delay costs. The jobs' sizes are homogeneous and deterministic. Each job belongs to a single decision…

Computer Science and Game Theory · Computer Science 2017-10-17 Amihai Glazer , Refael Hassin , Liron Ravner

The aim of this paper is to formulate and study a stochastic model for the management of environmental assets in a geographical context where in each place the local authorities take their policy decisions maximizing their own welfare,…

Optimization and Control · Mathematics 2025-10-27 Emmanuelle Augeraud-Véron , Daria Ghilli , Fausto Gozzi , Marta Leocata

Electric trucks are increasingly deployed to reduce the trucking sector's carbon footprint, but their limited range and charging needs create operational challenges on mid- to long-haul routes. Truck platooning can mitigate range anxiety…

Optimization and Control · Mathematics 2025-11-18 Yilang Hao , Zhibin Chen