Subiza, Begoña, Silva Reus, José Ángel, Peris, Josep E. Cost sharing solutions defined by non-negative eigenvectors European Journal of Operational Research. 2015, 244(2): 592-600. doi:10.1016/j.ejor.2015.01.055 URI: http://hdl.handle.net/10045/58385 DOI: 10.1016/j.ejor.2015.01.055 ISSN: 0377-2217 (Print) Abstract: The problem of sharing a cost M among n individuals, identified by some characteristic ci∈R+,ci∈R+, appears in many real situations. Two important proposals on how to share the cost are the egalitarian and the proportional solutions. In different situations a combination of both distributions provides an interesting approach to the cost sharing problem. In this paper we obtain a family of (compromise) solutions associated to the Perron’s eigenvectors of Levinger’s transformations of a characteristics matrix A. This family includes both the egalitarian and proportional solutions, as well as a set of suitable intermediate proposals, which we analyze in some specific contexts, as claims problems and inventory cost games. Keywords:Cost sharing, Egalitarian, Proportional, Perron’s eigenvector, Compromise solution Elsevier info:eu-repo/semantics/article