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Related papers: Load Balancing Congestion Games and their Asymptot…

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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 present polynomial-time algorithms as well as hardness results for equilibrium computation in atomic splittable routing games, for the case of general convex cost functions. These games model traffic in freight transportation, market…

Computer Science and Game Theory · Computer Science 2018-04-27 Umang Bhaskar , Phani Raj Lolakapuri

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

Routing games are amongst the most studied classes of games. Their two most well-known properties are that learning dynamics converge to equilibria and that all equilibria are approximately optimal. In this work, we perform a stress test…

Computer Science and Game Theory · Computer Science 2022-01-28 Thiparat Chotibut , Fryderyk Falniowski , Michał Misiurewicz , Georgios Piliouras

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

The price of anarchy has become a standard measure of the efficiency of equilibria in games. Most of the literature in this area has focused on establishing worst-case bounds for specific classes of games, such as routing games or more…

Computer Science and Game Theory · Computer Science 2022-06-09 Roberto Cominetti , Valerio Dose , Marco Scarsini

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

The analysis of network routing games typically assumes, right at the onset, precise and detailed information about the latency functions. Such information may, however, be unavailable or difficult to obtain. Moreover, one is often…

Computer Science and Game Theory · Computer Science 2014-08-08 Umang Bhaskar , Katrina Ligett , Leonard J. Schulman , Chaitanya Swamy

We consider the traffic assignment problem in nonatomic routing games where the players' cost functions may be subject to random fluctuations (e.g., weather disturbances, perturbations in the underlying network, etc.). We tackle this…

Computer Science and Game Theory · Computer Science 2022-01-11 Dong Quan Vu , Kimon Antonakopoulos , Panayotis Mertikopoulos

A critical aspect in strategic modeling of transportation systems is user heterogeneity. In many real-world scenarios, e.g., when tolls are charged and drivers have different trade-offs between time and money, or when they get informed…

Computer Science and Game Theory · Computer Science 2022-09-23 Leonardo Cianfanelli , Giacomo Como , Tommaso Toso

The fast-growing market of autonomous vehicles, unmanned aerial vehicles, and fleets in general necessitates the design of smart and automatic navigation systems considering the stochastic latency along different paths in the traffic…

Computer Science and Game Theory · Computer Science 2020-07-21 Ali Yekkehkhany , Rakesh Nagi

We propose a model of discrete time dynamic congestion games with atomic players and a single source-destination pair. The latencies of edges are composed by free-flow transit times and possible queuing time due to capacity constraints. We…

Computer Science and Game Theory · Computer Science 2019-01-03 Marco Scarsini , Marc Schröder , Tristan Tomala

We study the problem of computing Stackelberg equilibria Stackelberg games whose underlying structure is in congestion games, focusing on the case where each player can choose a single resource (a.k.a. singleton congestion games) and one of…

Computer Science and Game Theory · Computer Science 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

How is efficiency affected when demand excesses over supply are signalled through waiting in queues? We consider a class of congestion games with a nonatomic set of players of a constant mass, based on a formulation of generic linear…

Computer Science and Game Theory · Computer Science 2020-11-18 Costas Courcoubetis , Antonis Dimakis

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…

Atomic congestion games are a classic topic in network design, routing, and algorithmic game theory, and are capable of modeling congestion and flow optimization tasks in various application areas. While both the price of anarchy for such…

Computer Science and Game Theory · Computer Science 2024-10-23 Cornelius Brand , Robert Ganian , Subrahmanyam Kalyanasundaram , Fionn Mc Inerney

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

Traditional non-atomic selfish routing games present some limitations in properly modeling road traffic. This paper introduces a novel type of non-atomic selfish routing game leveraging concepts from Daganzo's cell transmission model (CTM).…

Optimization and Control · Mathematics 2024-12-31 Tommaso Toso , Paolo Frasca , Alain Y. Kibangou

We study routing games in which travelers optimize over routes that are remembered or surfaced, rather than over a fixed exogenous action set. The paper develops a tractable design theory for endogenous recall and then connects it back to…

Computer Science and Game Theory · Computer Science 2026-04-14 Saad Alqithami

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
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