David Auger ; Johanne Cohen ; Antoine Lobstein - Nonatomic Non-Cooperative Neighbourhood Balancing Games

fi:11080 - Fundamenta Informaticae, November 10, 2024, Volume 191, Issues 3-4: Iiro Honkala's 60 Birthday
Nonatomic Non-Cooperative Neighbourhood Balancing GamesArticle

Authors: David Auger ; Johanne Cohen ; Antoine Lobstein

    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 generalizations of well-known games like Wardrop and congestion games. We study the conditions of equilibria existence and their efficiency if they exist. We conclude with studies of games whose influences among resources can be modelled by simple graphs.


    Volume: Volume 191, Issues 3-4: Iiro Honkala's 60 Birthday
    Published on: November 10, 2024
    Accepted on: May 22, 2024
    Submitted on: March 16, 2023
    Keywords: Computer Science - Discrete Mathematics,Computer Science - Computer Science and Game Theory

    Publications

    References
    Auger, D., Cohen, J., & Lobstein, A. (2023). Nonatomic Non-Cooperative Neighbourhood Balancing Games (Versions 3, 1–). arXiv. 10.48550/ARXIV.2303.08507

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