Studying the interactions between preference and capacity manipulation in matching markets, we prove that acyclicity is a necessary and sufficient condition that guarantees the stability of a Nash equilibrium and the strategy-proofness of truthful capacity revelation under the hospital-optimal...

This paper presents a sequential admission mechanism where students are allowed to send multiple applications to colleges and colleges sequentially decide the applicants to enroll. The irreversibility of agents decisions and the sequential structure of the enrollments make truthful behavior a...

Studying the interaction between preference and capacity manipulation in matching markets, we prove that acyclicity is a necessary and sufficient condition that guarantees the stability of a Nash equilibrium and the strategy-proofness of truthful capacity revelation under the hospital-optimal...

This paper analyzes the role of acyclicity in singleton cores. We show that the absence of simultaneous cycles is a sufficient condition for the existence of singleton cores. Furthermore, acyclicity in the preferences of either side of the market is a minimal condition that guarantees the...

We analyze the design of a unique Spanish public program aimed at recruiting high quality researchers in public research centers: the Ramón y Cajal Program. We claim that, after a number of calls, the program design changed in response to agents' needs. Exploiting data on applications and...

The absence of simultaneous cycles is a sufficient condition for the existence of singleton cores. Acyclicity in the preferences of either side of the market is a minimal condition that guarantees the existence of singleton cores.

In this study we present a simple mechanism in a many-to-one matching market where multiple costless applications are allowed. The mechanism is based on the principles of eligibility and priority and it implements the set of stable matchings in Subgame Perfect Nash Equilibrium. We extend the...

The Ramón y Cajal Program promotes the hiring of top researchers in Spanish R&D centers and academic institutions. The centralized mechanism associated to the Program is analyzed. The paper models it as a two-sided matching market and studies if it provides the incentives to increase the...

We analyze the evolution on the design of a policy measure promoted by the Spanish Government: the Ramón y Cajal Program. In the first calls of the Program, an eligibility requirement for a researcher was a preacceptance from at least one Spanish research insti- tution. This requirement was...

The paper studies two games of capacity manipulation in hospital-intern markets. The focus is on the stability of Nash equilibrium outcomes. We provide minimal necessary and sufficient conditions guaranteeing the existence of pure strategy Nash Equilibria and the stability of outcomes.