Lotteries in Student Assignment: An Equivalence Result
AbstractThis 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.
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Bibliographic InfoPaper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 16140.
Date of creation: Jun 2010
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Other versions of this item:
- Pathak, Parag A. & Sethuraman, Jay, 2011. "Lotteries in student assignment: An equivalence result," Theoretical Economics, Econometric Society, vol. 6(1), January.
- D45 - Microeconomics - - Market Structure and Pricing - - - Rationing; Licensing
- D6 - Microeconomics - - Welfare Economics
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- Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005.
"The New York City High School Match,"
American Economic Review,
American Economic Association, vol. 95(2), pages 364-367, May.
- Ünver, M. Utku & Kesten, Onur & Kurino, Morimitsu & Hashimoto, Tadashi & Hirata, Daisuke, 0. "Two axiomatic approaches to the probabilistic serial mechanism," Theoretical Economics, Econometric Society.
- Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," American Economic Review, American Economic Association, vol. 99(5), pages 1954-78, December.
- Aytek Erdil, 2013. "Strategy-Proof Stochastic Assignment," Cambridge Working Papers in Economics 1333, Faculty of Economics, University of Cambridge.
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