Article
Cooperative Games and Coalition Cohesion Indices: The Choquet–Owen Value
Author/s | Fiestras Janeiro, M. Gloria
Gallardo Morilla, José Manuel Jiménez Losada, Andrés Mosquera Rodríguez, Manuel Alfredo |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Publication Date | 2016-04 |
Deposit Date | 2024-01-17 |
Published in |
|
Abstract | In a cooperative game with transferable utility, it is usually assumed that all coalitions are equally feasible. However, if we deal with cooperative games with coalition configuration, only some coalitions are a priori ... In a cooperative game with transferable utility, it is usually assumed that all coalitions are equally feasible. However, if we deal with cooperative games with coalition configuration, only some coalitions are a priori feasible, due to the preferences of the agents. In this paper, we propose a generalization of games with coalition configuration. In our model, the feasibility of a coalition is determined by the cohesion of its members, and obviously, this cohesion does not have to be equal for all coalitions. The cohesion of each coalition will be determined by a cohesion index. We introduce the class of games with cohesion index and propose an allocation rule, which is characterized by using reasonable properties. The cohesion idea is not only a concept related to social groups. In software design, this concept explains the relationships among all the elements of a module. Our value can be applied in this way as we show in the paper. |
Funding agencies | Ministerio de Economía y Competitividad (España) under Grant ECO2013-40755-P Ministerio de Economía y Competitividad (España) under Grant MTM2014-53395-C3-3-P Ministerio de Ciencia e Innovación (España) under Project MTM2011-27731-C03-03 |
Project ID. | ECO2013-40755-P
MTM2014-53395-C3-3-P MTM2011-27731-C03-03 |
Referenced by | M. G. Fiestras-Janeiro, J. M. Gallardo, A. Jiménez-Losada and M. A. Mosquera, "Cooperative Games and Coalition Cohesion Indices: The Choquet–Owen Value," in IEEE Transactions on Fuzzy Systems, vol. 24, no. 2, pp. 444-455, April 2016, doi: 10.1109/TFUZZ.2015.2459761 |
Citation | Fiestras Janeiro, M.G., Gallardo Morilla, J.M., Jiménez Losada, A. y Mosquera Rodríguez, M.A. (2016). Cooperative Games and Coalition Cohesion Indices: The Choquet–Owen Value. IEEE Transactions of Fuzzy Systems, 24 (2), 444-455. https://doi.org/10.1109/TFUZZ.2015.2459761. |
Files | Size | Format | View | Description |
---|---|---|---|---|
cohesionvalue.pdf | 260.4Kb | [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.