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A central question in routing games has been to establish conditions for the uniqueness of the equilibrium, either in terms of network topology or in terms of costs. This question is well understood in two classes of routing games. The…

Computer Science and Game Theory · Computer Science 2016-01-01 Eitan Altman , Corinne Touati

We consider an instance of a nonatomic routing game. We assume that the network is parallel, that is, constituted of only two nodes, an origin and a destination. We consider infinitesimal players that have a symmetric network cost, but are…

Computer Science and Game Theory · Computer Science 2018-04-10 Paulin Jacquot , Cheng Wan

We introduce a game where players selfishly choose a resource and endure a cost depending on the number of players choosing nearby resources. We model the influences among resources by a weighted graph, directed or not. These games are…

Discrete Mathematics · Computer Science 2026-04-08 David Auger , Johanne Cohen , Antoine Lobstein

We consider a discrete-time nonatomic routing game with variable demand and uncertain costs. Given a routing network with single origin and destination, the cost function of each edge depends on some uncertain persistent state parameter. At…

Theoretical Economics · Economics 2021-10-04 Emilien Macault , Marco Scarsini , Tristan Tomala

We examine the routing problem for self-interested vehicles using stochastic decision strategies. By approximating the road latency functions and a non-linear variable transformation, we frame the problem as an aggregative game. We…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Emilio Benenati , Sergio Grammatico

When selfish users share a road network and minimize their individual travel costs, the equilibrium they reach can be worse than the socially optimal routing. Tolls are often used to mitigate this effect in traditional congestion games,…

Optimization and Control · Mathematics 2020-09-02 Daniel A. Lazar , Ramtin Pedarsani

Wardrop equilibria in nonatomic congestion games are in general inefficient as they do not induce an optimal flow that minimizes the total travel time. Network tolls are a prominent and popular way to induce an optimum flow in equilibrium.…

Computer Science and Game Theory · Computer Science 2019-01-03 Riccardo Colini-Baldeschi , Max Klimm , Marco Scarsini

Recent advancements in vehicle autonomy have drawn interest in understanding the impact of autonomous vehicles on traffic systems. In this paper, we study a traffic assignment problem in a mixed-autonomy setting where both human-driven and…

Computer Science and Game Theory · Computer Science 2026-05-25 Lihui Yi , Ermin Wei

Route controlled autonomous vehicles could have a significant impact in reducing congestion in the future. Before applying multi-agent reinforcement learning algorithms to route control, we can model the system using a congestion game to…

Multiagent Systems · Computer Science 2021-04-02 Charlotte Roman , Paolo Turrini

Selfish routing is a central problem in algorithmic game theory, with one of the principal applications being that of routing in road networks. Inspired by the emergence of routing technologies and autonomous driving, we revisit selfish…

Computer Science and Game Theory · Computer Science 2017-07-04 Soumya Basu , Ger Yang , Thanasis Lianeas , Evdokia Nikolova , Yitao Chen

Vehicle bypassing is known to negatively affect delays at traffic diverges. However, due to the complexities of this phenomenon, accurate and yet simple models of such lane change maneuvers are hard to develop. In this work, we present a…

Computer Science and Game Theory · Computer Science 2018-09-11 Negar Mehr , Ruolin Li , Roberto Horowitz

The inefficiency of selfish routing in congested networks is a classical problem in algorithmic game theory, often captured by the Price of Anarchy (i.e., the ratio between the social cost of decentralized decisions and that of a centrally…

Computer Science and Game Theory · Computer Science 2025-08-12 Ivan Geffner , Erez Karpas , Moshe Tennenholtz

In multi-hop ad hoc networks, selfish nodes may unduly acquire high quality of service (QoS) by assigning higher priority to source packets and lower priority to transit packets. Such traffic remapping attacks (TRAs) are cheap to launch,…

Networking and Internet Architecture · Computer Science 2018-03-09 Jerzy Konorski , Szymon Szott

We study an information design problem in transportation networks, in the presence of a random state that affects the travel times on the links. An omniscient system planner -- aiming at reducing congestion -- observes the network state…

Optimization and Control · Mathematics 2025-09-04 Alexia Ambrogio , Leonardo Cianfanelli , Giacomo Como

We discuss the connection between a class of distributed quantum games, with remotely located players, to the counter intuitive Braess' paradox of traffic flow that is an important design consideration in generic networks where the addition…

Quantum Physics · Physics 2018-11-14 Neal Solmeyer , Ricky Dixon , Radhakrishnan Balu

It is known that connected and autonomous vehicles are capable of maintaining shorter headways and distances when they form platoons of vehicles. Thus, such technologies can result in increases in the capacities of traffic networks.…

Computer Science and Game Theory · Computer Science 2024-12-20 Negar Mehr , Roberto Horowitz

Self-interested routing polices from individual users in a system can collectively lead to poor aggregate congestion in routing networks. The introduction of altruistic agents, whose goal is to benefit other agents in the system, can…

Computer Science and Game Theory · Computer Science 2024-04-12 Colton Hill , Philip N. Brown

This paper studies the monotonicity of equilibrium costs and equilibrium loads in nonatomic congestion games, in response to variations of the demands. The main goal is to identify conditions under which a paradoxical non-monotone behavior…

Computer Science and Game Theory · Computer Science 2024-02-07 Roberto Cominetti , Valerio Dose , Marco Scarsini

We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given…

Computer Science and Game Theory · Computer Science 2017-05-05 Zhigang Cao , Bo Chen , Xujin Chen , Changjun Wang

We study the following repeated non-atomic routing game. In every round, nature chooses a state in an i.i.d. manner according to a publicly known distribution, which influences link latency functions. The system planner makes private route…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Yixian Zhu , Ketan Savla
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