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
Using matching methods, we estimate the public-private wage gap in seven Latin American countries—Argentina, Bolivia, Brazil, Chile, Costa Rica, Paraguay and Uruguay—for the years 1999 and 2007. These methods do not require any estimation of earnings equations and hence no validity-out-of-the-support assumptions; furthermore, this approach allows us to estimate not only the average wage gap