演講者簡介 : Dr. Abizada has received his Ph.D. in Economics from University of Rochester in 2012. He is currently an Assistant Professor of Economics at School of Business, ADA University. His research fields are Game Theory, Mechanism Design, and Matching Theory. He is applying for a position of the Institute of Economics, Academia Sinica now.
演講摘要 : We study many-to-one matching problem with complementarities. Real life examples include college admissions with two-sided monetary transfers, teacher assignment with different teaching loads, and worker assignment. Due to the presence of complementarities, the conditions that are essential for the existence of stable allocation fail. Despite this failure, we provide conditions to guarantee the existence of stable allocation. To our knowledge this is the first paper obtaining positive result related to the existence of (group) stable matching and existence of strategy-proof and (group) stable mechanism in the presence of complementarities.