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