Sensibility concept for the discrete case in the cost sharing problem

Suppose that a vector is produced jointly. We will consider the problem of dividing the cost of production among a group of components. In this paper we characterized a solution through two axioms, s-sensibility and separability. The sensibility is a concept related to the variations of a solution d...

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Main Authors: Luis Hernández Lamoneda, Julio Cesar Macías Ponce, Francisco Sánchez Sánchez
Format: Article
Language:English
Published: Universidad de Costa Rica 2013-08-01
Series:Revista de Matemática: Teoría y Aplicaciones
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/11647
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author Luis Hernández Lamoneda
Julio Cesar Macías Ponce
Francisco Sánchez Sánchez
author_facet Luis Hernández Lamoneda
Julio Cesar Macías Ponce
Francisco Sánchez Sánchez
author_sort Luis Hernández Lamoneda
collection DOAJ
description Suppose that a vector is produced jointly. We will consider the problem of dividing the cost of production among a group of components. In this paper we characterized a solution through two axioms, s-sensibility and separability. The sensibility is a concept related to the variations of a solution due to slight changes of the cost function and the separability is standard. We study the discrete cost sharing problem. We provide a axiomatic solution.
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spelling doaj.art-89ddd6beca0d46de932f2641928e29702023-09-02T22:48:23ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732013-08-0120211913110.15517/rmta.v20i2.1164711034Sensibility concept for the discrete case in the cost sharing problemLuis Hernández Lamoneda0Julio Cesar Macías Ponce1Francisco Sánchez Sánchez2CIMAT A.C.Universidad Autónoma de AguascalientesCIMAT A.C.Suppose that a vector is produced jointly. We will consider the problem of dividing the cost of production among a group of components. In this paper we characterized a solution through two axioms, s-sensibility and separability. The sensibility is a concept related to the variations of a solution due to slight changes of the cost function and the separability is standard. We study the discrete cost sharing problem. We provide a axiomatic solution.https://revistas.ucr.ac.cr/index.php/matematica/article/view/11647
spellingShingle Luis Hernández Lamoneda
Julio Cesar Macías Ponce
Francisco Sánchez Sánchez
Sensibility concept for the discrete case in the cost sharing problem
Revista de Matemática: Teoría y Aplicaciones
title Sensibility concept for the discrete case in the cost sharing problem
title_full Sensibility concept for the discrete case in the cost sharing problem
title_fullStr Sensibility concept for the discrete case in the cost sharing problem
title_full_unstemmed Sensibility concept for the discrete case in the cost sharing problem
title_short Sensibility concept for the discrete case in the cost sharing problem
title_sort sensibility concept for the discrete case in the cost sharing problem
url https://revistas.ucr.ac.cr/index.php/matematica/article/view/11647
work_keys_str_mv AT luishernandezlamoneda sensibilityconceptforthediscretecaseinthecostsharingproblem
AT juliocesarmaciasponce sensibilityconceptforthediscretecaseinthecostsharingproblem
AT franciscosanchezsanchez sensibilityconceptforthediscretecaseinthecostsharingproblem