Mechanism Design and Implementation for Lung Exchange? Suiqian Luo and Pingzhong Tang
Abstract
We explore the mechanism design problem for lung exchange and its implementation in practice. We prove that determining whether there exists a nontrivial solution of the lung exchange problem is NPcomplete. We propose a mechanism that is individually rational, strategy-proof and maximizes exchange size. To implement this mechanism in practice, we propose an algorithm based on Integer Linear Program and another based on search. Both of our algorithms for this mechanism yield excellent performances in simulated data sets.