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Pré-Publication, Document De Travail Année : 2023

Nonatomic Non-Cooperative Neighbourhood Balancing Games

Résumé

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.
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Dates et versions

hal-04380503 , version 1 (07-06-2024)

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David Auger, Johanne Cohen, Antoine Lobstein. Nonatomic Non-Cooperative Neighbourhood Balancing Games. 2023. ⟨hal-04380503⟩
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