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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Abstract

HERNANDEZ, Luis; MACIAS PONCE, Julio César  and  SANCHEZ SANCHEZ, Francisco. Sensibility concept for the discrete case in the cost sharing problem. Rev. Mat [online]. 2013, vol.20, n.2, pp.119-131. ISSN 1409-2433.

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.

Keywords : cost sharing; axiomatic solutions; path-induced solutions; cooperative games; sensibility.

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