There is a set of incompatible patient–donor pairs and these pairs are matched pairwise. A match between two pairs corresponds to a paired kidney donation, where pairs exchange donated kidneys, or a paired listed exchange, where the first donor donates a kidney to the deceased donor wait-list,...

Roth is the major force in creating a vibrant field of matching theory and its application to market design. In doing so, he has discovered many properties of the stable matching problem (especially from the strategic viewpoint of game theory), studied real-life cases to test the relevance of...