Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms
AbstractThe random priority (random serial dictatorship) mechanism is a common method for assigning objects. The mechanism is easy to implement and strategy-proof. However, this mechanism is inefficient, because all agents may be made better off by another mechanism that increases their chances of obtaining more preferred objects. This form of inefficiency is eliminated by a mechanism called probabilistic serial, but this mechanism is not strategy-proof. Thus, which mechanism to employ in practical applications is an open question. We show that these mechanisms become equivalent when the market becomes large. More specifically, given a set of object types, the random assignments in these mechanisms converge to each other as the number of copies of each object type approaches infinity. Thus, the inefficiency of the random priority mechanism becomes small in large markets. Our result gives some rationale for the common use of the random priority mechanism in practical problems such as student placement in public schools. Copyright 2010 The Econometric Society.
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Bibliographic InfoArticle provided by Econometric Society in its journal Econometrica.
Volume (Year): 78 (2010)
Issue (Month): 5 (09)
Other versions of this item:
- Yeon-Koo Che & Fuhito Kojima, 2008. "Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms," Discussion Papers 0809-06, Columbia University, Department of Economics.
- Yeon-Koo Che & Fuhito Kojima, 2008. "Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms," Cowles Foundation Discussion Papers 1677, Cowles Foundation for Research in Economics, Yale University.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
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