In many matching environments, agreements are multilateral and/or have externalities. We show that stability in these environments depends on agents' aggregate choice behavior. Two different conditions on aggregate choice ensure a stable outcome exists. One applies when contracts are...

In the school choice market, where scarce public school seats are assigned to students, a key operational issue is how to reassign seats that are vacated after an initial round of centralized assignment. Practical solutions to the reassignment problem must be simple to implement, truthful and...

To study waiting-lists as allocation mechanisms, we analyze a class of waiting-list mechanisms where agents are offered a choice among items with corresponding expected waiting times. Because the expected waiting time required for a given item fluctuates over time, different agents may face...

This paper investigates how externalities from downstream competition shape sorting in upstream labor markets. We model it as a two-stage game: A first stage of simultaneous 1-to-1 matching between firms and managers and a second stage of Cournot competition among matched pairs. If firm...

We study a dynamic two-sided many-to-one matching model that generalizes the college admissions problem. A dynamically stable matching does not generally exist. We provide sufficient conditions for the existence of a dynamically stable matching and show that some but not all results for the...

I introduce a class of algorithms called Deferred Acceptance with Compensation Chains (DACC). DACC algorithms generalize the DA algorithms of Gale and Shapley (1962) by allowing both sides of the market to make offers. The main result is a characterization of the set of stable matchings: A...

We introduce a simple model of dynamic matching in networked markets, where agents arrive and depart stochastically, and the composition of the trade network depends endogenously on the matching algorithm. Varying the timing properties of matching algorithms can substantially affect their...

This paper studies matching markets where institutions are matched with possibly more than one individual. The matching market contains some couples who view the pair of jobs as complements. First, we show by means of an example that a stable matching may fail to exist even when both couples and...

We study a many-to-one matching problem between institutions and individuals where an institution can possibly be matched to more than one individual. The matching market contains some couples who view pairs of jobs as complements. Institutions' preferences over sets of individuals are assumed...

We show that charging entry fees can sometimes dominate the benefit of recruiting additional bidders to auctions, even though the fees themselves implicitly reduce competition at the auction stage. We also highlight that admission fees and reserve prices are different instruments in a setting...