Skip to main content
Article thumbnail
Location of Repository

Lotteries in student assignment: An equivalence result

By Parag A. Pathak and Jay Sethuraman


This paper formally examines two competing methods of conducting a lottery in assigning students to schools, motivated by the design of the centralized high school student assignment system in New York City. The main result of the paper is that a single and multiple lottery mechanism are equivalent for the problem of allocating students to schools in which students have strict preferences and the schools are indifferent. In proving this result, a new approach is introduced, that simplifies and unifies all the known equivalence results in the house allocation literature. Along the way, two new mechanisms---Partitioned Random Priority and Partitioned Random Endowment---are introduced for the house allocation problem. These mechanisms generalize widely studied mechanisms for the house allocation problem and may be appropriate for the many-to-one setting such as the school choice problem.Matching, random assignment

OAI identifier:

Suggested articles


  1. (2011). Endogenous preferential treatment in centralized admissions.”

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.