This paper constructs a normative framework to quantify the diﬀerence between two matchings in roommate markets. We investigate the “cost of transformation” from one mechanism to another, based on the diﬀerences in the outputs of these mechanisms. Several conditions are introduced to ensure this cost reﬂects the welfare eﬀect of the transformation on individuals. We introduce a measure called the Borda measure, which is fully characterized by these conditions. Several possible applications of this measure under diﬀerent contexts interpretations are also discussed, such as measuring how unstable, how unfair, or how ineﬃcient a matching is.
|Series||GSBE Research Memoranda|
- matching markets
- measure function