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We study the emergence of chaotic behavior of Follow-the-Regularized Leader (FoReL) dynamics in games. We focus on the effects of increasing the population size or the scale of costs in congestion games, and generalize recent results on…

计算机科学与博弈论 · 计算机科学 2022-01-28 Jakub Bielawski , Thiparat Chotibut , Fryderyk Falniowski , Grzegorz Kosiorowski , Michał Misiurewicz , Georgios Piliouras

We study atomic routing games where every agent travels both along its decided edges and through time. The agents arriving on an edge are first lined up in a \emph{first-in-first-out} queue and may wait: an edge is associated with a…

计算机科学与博弈论 · 计算机科学 2017-09-28 Anisse Ismaili

In network congestion games, system operators often utilize latency models, estimated from real-world traffic flow and travel time data, to design monetary incentives which steer equilibrium user behaviors towards lowering system-wide…

系统与控制 · 电气工程与系统科学 2026-04-21 Chih-Yuan Chiu , Sarah H. Q. Li , Bryce L. Ferguson

Network congestion games are a well-understood model of multi-agent strategic interactions. Despite their ubiquitous applications, it is not clear whether it is possible to design information structures to ameliorate the overall experience…

计算机科学与博弈论 · 计算机科学 2020-02-14 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Nicola Gatti

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.…

计算机科学与博弈论 · 计算机科学 2024-12-20 Negar Mehr , Roberto Horowitz

We study {\em bottleneck routing games} where the social cost is determined by the worst congestion on any edge in the network. In the literature, bottleneck games assume player utility costs determined by the worst congested edge in their…

计算机科学与博弈论 · 计算机科学 2015-05-18 Rajgopal Kannan , Costas Busch

Congestion games model a wide variety of real-world resource congestion problems, such as selfish network routing, traffic route guidance in congested areas, taxi fleet optimization and crowd movement in busy areas. However, existing…

计算机科学与博弈论 · 计算机科学 2012-10-19 Asrar Ahmed , Pradeep Varakantham , Shih-Fen Cheng

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…

系统与控制 · 电气工程与系统科学 2022-07-26 Yixian Zhu , Ketan Savla

This work shows that the formation of a finite number of coalitions in a nonatomic network congestion game benefits everyone. At the equilibrium of the composite game played by coalitions and individuals, the average cost to each coalition…

计算机科学与博弈论 · 计算机科学 2015-03-20 Cheng Wan

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,…

最优化与控制 · 数学 2020-09-02 Daniel A. Lazar , Ramtin Pedarsani

Solving the road congestion problem is one of the most pressing issues in moderncities since it causes time wasting, pollution, higher industrial costs and huge roadmaintenance costs. Advances in ITS technologies and the advent of…

计算机科学与博弈论 · 计算机科学 2021-05-13 Valentina Morandi

Congestion games are a classical type of games studied in game theory, in which n players choose a resource, and their individual cost increases with the number of other players choosing the same resource. In network congestion games…

计算机科学与博弈论 · 计算机科学 2020-09-30 Nathalie Bertrand , Nicolas Markey , Suman Sadhukhan , Ocan Sankur

The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing. Using the fundamental diagram of traffic flows - applied in macroscopic and…

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.…

计算机科学与博弈论 · 计算机科学 2019-01-03 Riccardo Colini-Baldeschi , Max Klimm , Marco Scarsini

Hierarchical decision-making is a natural paradigm for coordinating multi-agent systems in complex environments such as air traffic management. In this paper, we present a bilevel framework for game-theoretic hierarchical routing, where a…

多智能体系统 · 计算机科学 2025-03-19 Dong Ho Lee , Kaitlyn Donnel , Max Z. Li , David Fridovich-Keil

We consider in this paper competition of content creators in routing their content through various media. The routing decisions may correspond to the selection of a social network (e.g. twitter versus facebook or linkedin) or of a group…

计算机科学与博弈论 · 计算机科学 2016-01-05 Fabrice Lebeau , Corinne Touati , Eitan Altman , Nof Abuzainab

We investigate packet routing games in which network users selfishly route themselves through a network over discrete time, aiming to reach the destination as quickly as possible. Conflicts due to limited capacities are resolved by the…

计算机科学与博弈论 · 计算机科学 2025-02-10 Daniel Schmand , Torben Schürenberg , Martin Strehler

This paper proposes a new equilibrium concept "robust perfect equilibrium" for non-cooperative games with a continuum of players, incorporating three types of perturbations. Such an equilibrium is shown to exist (in symmetric mixed…

理论经济学 · 经济学 2021-05-06 Enxian Chen , Lei Qiao , Xiang Sun , Yeneng Sun

We define and analyze the notion of variational Wardrop equilibrium for nonatomic aggregative games with an infinity of players types. These equilibria are characterized through an infinite-dimensional variational inequality. We show, under…

最优化与控制 · 数学 2019-06-06 Paulin Jacquot , Cheng Wan

We consider a basic resource allocation game, where the players' strategy spaces are subsets of $R^m$ and cost/utility functions are parameterized by some common vector $u\in R^m$ and, otherwise, only depend on the own strategy choice. A…

计算机科学与博弈论 · 计算机科学 2020-02-24 Tobias Harks