Pareto Improvements in the Contest for College Admissions

Kala Krishna, Pennsylvania State University, NBER, CES-IFO, and IGC, Sergey Lychagin, WIFO Institute, Wojciech Olszewski, Northwestern University, Ron Siegel, Pennsylvania State University, and Chloe Tergiman, Smeal College of Business, Pennsylvania State University

Many countries base college admissions on a centrally-administered test. Students invest a great deal of resources to improve their performance on the test, and there is growing concern about the high costs associated with these activities. We consider modifying the test by introducing performance-disclosure policies that pool intervals of performance rankings. Pooling affects the equilibrium allocation of students to colleges, which hurts some students and benefits others, but also affects students’ effort. We investigate how such policies can improve students’ welfare in a Pareto sense, study the Pareto frontier of pooling policies, and identify improvements that are robust to the distribution of college seats.

We illustrate the potential applicability of our results with an empirical estimation that uses data on college admissions in Turkey. We find that a policy that pools a large fraction of the lowest performing students leads to a Pareto improvement in a contest based on the estimated parameters. A laboratory experiment based on the estimated parameters generally supports our theoretical predictions.