On benefits of cooperation under strategic power

Fuente: arXiv
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Autores principales: Fiestras-Janeiro, M. Gloria, García-Jurado, Ignacio, Meca, Ana, Mosquera, Manuel A.
Formato: Preprint
Publicado: 2024
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author Fiestras-Janeiro, M. Gloria
García-Jurado, Ignacio
Meca, Ana
Mosquera, Manuel A.
author_facet Fiestras-Janeiro, M. Gloria
García-Jurado, Ignacio
Meca, Ana
Mosquera, Manuel A.
contents We introduce a new model involving TU-games and exogenous structures. Specifically, we consider that each player in a population can choose an element in a strategy set and that, for every possible strategy profile, a TU-game is associated with the population. This is what we call a TU-game with strategies. We propose and characterize the maxmin procedure to map every game with strategies to a TU-game. We also study whether or not the relevant properties of TU-games are transmitted by applying the maxmin procedure. Finally, we examine two relevant classes of TU-games with strategies: airport and simple games with strategies.
format Preprint
id arxiv_https___arxiv_org_abs_2402_05891
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On benefits of cooperation under strategic power
Fiestras-Janeiro, M. Gloria
García-Jurado, Ignacio
Meca, Ana
Mosquera, Manuel A.
Computer Science and Game Theory
Optimization and Control
We introduce a new model involving TU-games and exogenous structures. Specifically, we consider that each player in a population can choose an element in a strategy set and that, for every possible strategy profile, a TU-game is associated with the population. This is what we call a TU-game with strategies. We propose and characterize the maxmin procedure to map every game with strategies to a TU-game. We also study whether or not the relevant properties of TU-games are transmitted by applying the maxmin procedure. Finally, we examine two relevant classes of TU-games with strategies: airport and simple games with strategies.
title On benefits of cooperation under strategic power
topic Computer Science and Game Theory
Optimization and Control
url https://arxiv.org/abs/2402.05891