Simple Mechanisms to Implement the Core of College Admissions Problems

Jose Alcalde, University of Alicante
Antonio Romero-Medina, Universidad Carlos III de Madrid

Abstract

This paper analyzes simple mechanisms implementing (subselections of) the core correspondence of matching markets. We provide a sequential mechanism which mimics a matching procedure for many-to-one real life matching markets. We show that only core allocations should be attained when agents act strategically when faced with this mechanism. We also provide a second mechanism to implement the core correspondence in Subgame Perfect Equilibrium.