On existence of stable matching: a theory of evolutionary matching with the selection paradigm (Luchuan Liu)


This paper is motivated by following two purposes: to examine the existence of stable matching and to develop a dynamic version of matching theory.  A dynamics of matching is constructed through introducing a series of matchings in different generations.  The dynamics induces an evolutionary path under its selection paradigm that determines an unique choice from the non-empty set of stable matching for each generation. The static notion of matching is not universal since not every game beyond bipartite has a stable matching.  However, the concept of evolutionary matching is universal since every game could have a stable one.


2017-12-19   16:00 ~ 17:00   


Luchuan Liu, visiting professor of Finance at the Southern University of Science and Technology


Room 602, School of Information Management & Engineering, Shanghai University of Finance & Economics