An axiomatic characterization of the MVSHN group fitness ordering
Series/Report no.Cahier de recherche #2012-13
In order to analyze a unicellular-multicellular evolutionary transition, a multicellular organism is identiﬁed with the vector of viabilities and fecundities of its constituent cells. The Michod–Viossat–Solari–Hurand–Nedelcu index of group ﬁtness for a multicellular organism is a function of these cell viabilities and fecundities. The MVSHN index has been used to analyze the germ-soma specialization and the ﬁtness decoupling between the cell and organism levels that takes place during the transition to multicellularity. In this article, social choice theory is used to provide an axiomatic characterization of the group ﬁtness ordering of vectors of cell viabilities and fecundities underlying the MVSHN index.