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This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination…

计算机科学与博弈论 · 计算机科学 2009-02-04 Martin Hoefer , Alexander Skopalik

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…

计算机科学与博弈论 · 计算机科学 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

This paper investigates design of noncooperative games from an optimization and control theoretic perspective. Pricing mechanisms are used as a design tool to ensure that the Nash equilibrium of a fairly general class of noncooperative…

计算机科学与博弈论 · 计算机科学 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic

The congestion game is a powerful model that encompasses a range of engineering systems such as traffic networks and resource allocation. It describes the behavior of a group of agents who share a common set of $F$ facilities and take…

计算机科学与博弈论 · 计算机科学 2023-06-27 Jing Dong , Jingyu Wu , Siwei Wang , Baoxiang Wang , Wei Chen

We consider non-atomic network congestion games with heterogeneous players where the latencies of the paths are subject to some bounded deviations. This model encompasses several well-studied extensions of the classical Wardrop model which…

计算机科学与博弈论 · 计算机科学 2017-07-06 Pieter Kleer , Guido Schäfer

The price of anarchy, originally introduced to quantify the inefficiency of selfish behavior in routing games, is extended to mean field games. The price of anarchy is defined as the ratio of a worst case social cost computed for a mean…

最优化与控制 · 数学 2018-08-31 Rene Carmona , Christy V. Graves , Zongjun Tan

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…

离散数学 · 计算机科学 2026-04-08 David Auger , Johanne Cohen , Antoine Lobstein

We initiate the study of congestion games with variable demands where the (variable) demand has to be assigned to exactly one subset of resources. The players' incentives to use higher demands are stimulated by non-decreasing and concave…

计算机科学与博弈论 · 计算机科学 2010-12-14 Tobias Harks , Max Klimm

Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centralized coordination removes individual decision power. This…

计算机科学与博弈论 · 计算机科学 2026-03-20 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

This study investigates an adaptive pricing scheme aimed at achieving an efficient state in a traffic congestion game characterized by a diverse population of road users. While the planner possesses knowledge of players' preferences, their…

理论经济学 · 经济学 2025-12-22 Shota Fujishima

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…

计算机科学与博弈论 · 计算机科学 2023-12-05 Gleb Polevoy

We study a model of selfish resource allocation that seeks to incorporate dependencies among resources as they exist in modern networked environments. Our model is inspired by utility functions with constant elasticity of substitution (CES)…

计算机科学与博弈论 · 计算机科学 2017-05-04 Matthias Feldotto , Lennart Leder , Alexander Skopalik

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…

多智能体系统 · 计算机科学 2021-04-02 Charlotte Roman , Paolo Turrini

This paper investigates equilibrium computation and the price of anarchy for Bayesian games, which are the fundamental models of games with incomplete information. In normal-form games with complete information, it is known that efficiently…

计算机科学与博弈论 · 计算机科学 2025-07-01 Kaito Fujii

In this work we study the power and limitations of fair interventions in weighted congestion games. Specifically, we focus on interventions that aim at improving the equilibrium quality (price of anarchy) and are fair in a suitably defined…

计算机科学与博弈论 · 计算机科学 2024-07-17 Miriam Fischer , Martin Gairing , Dario Paccagnan

We describe a new coordination mechanism for non-atomic congestion games that leads to a (selfish) social cost which is arbitrarily close to the non-selfish optimal. This mechanism does not incur any additional extra cost, like tolls, which…

计算机科学与博弈论 · 计算机科学 2014-06-20 Josep Díaz , Ioannis Giotis , Lefteris Kirousis , Yiannis Mourtos , Maria J. Serna

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

Congestion games offer a primary model in the study of pure Nash equilibria in non-cooperative games, and a number of generalized models have been proposed in the literature. One line of generalization includes weighted congestion games, in…

计算机科学与博弈论 · 计算机科学 2024-01-09 Kenjiro Takazawa

We study a new class of games which generalizes congestion games and its bottleneck variant. We introduce congestion games with mixed objectives to model network scenarios in which players seek to optimize for latency and bandwidths alike.…

计算机科学与博弈论 · 计算机科学 2016-12-22 Matthias Feldotto , Lennart Leder , Alexander Skopalik

We study the problem of finding Stackelberg equilibria in games with a massive number of players. So far, the only known game instances in which the problem is solved in polynomial time are some particular congestion games. However, a…

计算机科学与博弈论 · 计算机科学 2019-05-31 Alberto Marchesi , Matteo Castiglioni , Nicola Gatti