Article
Rough Shapley functions for games with a priori unions
Author/s | Basallote Galván, Manuela
Gallardo Morilla, José Manuel Hernández Mancera, Carmen Jiménez Losada, Andrés |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Publication Date | 2023 |
Deposit Date | 2024-01-17 |
Published in |
|
Abstract | A family of allocation rules for cooperative games with a priori unions is introduced in this paper. These allocation rules, which will be called rough Shapley values, are extensions of the well-known Shapley value for ... A family of allocation rules for cooperative games with a priori unions is introduced in this paper. These allocation rules, which will be called rough Shapley values, are extensions of the well-known Shapley value for classical cooperative games. The family of rough Shapley values, which is constructed by using rough sets to describe different cooperative options, includes several of the extensions of the Shapley value found in the literature. We prove that the rough Shapley values are the allocation rules for games with a priori unions that satisfy some reasonable properties. |
Referenced by | M. Basallote, J.M. Gallardo, C. Hernández-Mancera & A. Jiménez-Losada (2023) Rough Shapley functions for games with a priori unions, Optimization, DOI: 10.1080/02331934.2023.2231481 |
Citation | Basallote Galván, M., Gallardo Morilla, J.M., Hernández Mancera, C. y Jiménez Losada, A. (2023). Rough Shapley functions for games with a priori unions. Optimization. https://doi.org/10.1080/02331934.2023.2231481. |
Files | Size | Format | View | Description |
---|---|---|---|---|
RoughShapley.pdf | 2.589Mb | [PDF] | View/ | |
This item appears in the following collection(s)
This document is protected by intellectual and industrial property rights. Without prejudice to existing legal exemptions, its reproduction, distribution, public communication or transformation is prohibited without the authorization of the rights holder, unless otherwise indicated.