We study parental choice focusing on the transition between primary and secondary school, taking advantage of the fact that most Chilean students have to switch school at the end of the 8th grade, the last year of primary school. Using a recursive probit model we estimate jointly the probability of attending private voucher versus public
Studying the interaction between preference and capacity manipulation in matching markets, we prove that acyclicity is a necessary and su!cient condition that guarantees the stability of a Nash equilibrium and the strategy-proofness of truthful capacity revelation under the hospital-optimal and intern-optimal stable rules. we then introduce generalized capacity manipulations games where hospitals move first and