I study a market where agents with unit demand jointly own heterogeneous goods. In this market, the existence of an efficient, incentive compatible, individually rational, and budget balanced mechanism depends on the shares of the agents. I characterize the set of shares for which having such a...

This paper studies markets for heterogeneous goods using mechanism-design theory. For each combination of desirable properties, we derive an assignment process with these properties in the form of a corresponding direct-revelation game, or we show that it does not exist. Each participant's...

Controlled choice over public schools attempts giving options to parents while maintaining diversity, often enforced by setting feasibility constraints with hard upper and lower bounds for each student type. We demonstrate that there might not exist assignments that satisfy standard fairness and...

Controlled choice over public schools attempts giving options to parents while maintaining diversity, often enforced by setting feasibility constraints with hard upper and lower bounds for each student type. We demonstrate that there might not exist assignments that satisfy standard fairness and...

Controlled choice over public schools attempts giving parents selection options while maintaining diversity of different student types. In practice, diversity constraints are often enforced by setting hard upper bounds and hard lower bounds for each student type. We demonstrate that, with hard...

As school districts integrate charter schools for centralized admissions in Denver, New Orleans, Newark and Washington D.C., some charter schools have stayed out of the system. This is counterintuitive as centralized clearinghouses are deemed beneficial to schools as well as students. We provide...

We define the median stable matching for two-sided matching markets with side payments and prove constructively that it exists.

The prevalent affirmative action policy in school choice limits the number of admitted majority students to give minority students higher chances to attend their desired schools. There have been numerous efforts to reconcile affirmative action policies with celebrated matching mechanisms such as...