This paper studies,under substitutable and cardinal monotone preferences,the lattice structure of the set SePT of many-to-many pairwise-stable matchings.It proves that the selection matchings are increasing functions ...This paper studies,under substitutable and cardinal monotone preferences,the lattice structure of the set SePT of many-to-many pairwise-stable matchings.It proves that the selection matchings are increasing functions on SePT.This fact,along with a few auxiliary results,is then used to prove that SePT is a distributive lattice.The contribution of this paper is not new,but the alternative proof is interesting as it avoids the use of abstract lattice theory.展开更多
文摘This paper studies,under substitutable and cardinal monotone preferences,the lattice structure of the set SePT of many-to-many pairwise-stable matchings.It proves that the selection matchings are increasing functions on SePT.This fact,along with a few auxiliary results,is then used to prove that SePT is a distributive lattice.The contribution of this paper is not new,but the alternative proof is interesting as it avoids the use of abstract lattice theory.
