We introduce a two-sided, many-to-one matching with contracts model in which agents with unit demand match to branches that may have multiple slots available to accept contracts. Each slot has its own linear priority order over contracts; a branch chooses contracts by filling its slots...

To encourage diversity, branches may vary contracts' priorities across slots. The agents who match to branches, however, have preferences only over match partners and contractual terms. Ad hoc approaches to resolving agents' indifferences across slots in the Chicago and Boston school choice...

We show that an ambiguity in setting the primitives of the matching with contracts model by Hatfield and Milgrom (2005) has serious implications for the model. Of the two ways to clear the ambiguity, the first (and what we consider more "clean") remedy renders several of the results of the paper...

We show that Hatfield and Kojima (2010) inherits a critical ambiguity from its predecessor Hatfield and Milgrom (2005), and clearing this ambiguity has strong implications for the paper. Of the two potential remedies, the first one results in the failure of all theorems except one in the absence...

Motivated by historically low retention rates of graduates at USMA and ROTC, the Army recently introduced branch-for-service incentives programs where cadets could bid an additional three years of active duty service obligation to obtain higher priority for their desired career specialties. The...

Although a pilot national live-donor kidney exchange program was recently launched in the US, the kidney shortage is increasing faster than ever. A new solution paradigm is able to incorporate compatible pairs in exchange. In this paper, we consider an exchange framework that has both compatible...

Branch selection is a key decision in a cadet's military career. Cadets at USMA can increase their branch priorities at a fraction of slots by extending their service agreement. This real-life matching problem fills an important gap in market design literature. Although priorities fail a key...

In Fall 2009, officials from Chicago Public Schools changed their assignment mechanism for coveted spots at selective college preparatory high schools midstream. After asking about 14,000 applicants to submit their preferences for schools under one mechanism, the district asked them to re-submit...

Within the last decade kidney exchange has become a mainstream paradigm to increase the number of kidney transplants. However, compatible pairs do not participate, and the full benefit from exchange can be realized only if they do. In this paper, we propose a new incentive scheme that relies on...