We consider bilateral matching problems where each person views those on the other side of the market as either acceptable or unacceptable: an acceptable mate is preferred to remaining single, and the latter to an unacceptable mate; all acceptable mates are welfare-wise identical. Using randomization, many efficient and fair matching methods define strategy-proof revelation mechanisms. Randomly selecting a priority ordering of the participants is a simple example. Equalizing as much as possible the probability of getting an acceptable mate across all participants stands out for its normative and incentives properties: the profile of probabilities is Lorenz dominant, and the revelation mechanism is group-strategy-proof for each side of the market. Our results apply to the random assignment problem as well.
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Paper provided by Rice University, Department of Economics in its series Working Papers with number
2001-03.
Find related papers by JEL classification: C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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Roth, Alvin E. & Sotomayor, Marilda, 1992.
"Two-sided matching,"
Handbook of Game Theory with Economic Applications,
in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541
Elsevier.
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Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2004.
"Pairwise Kidney Exchange,"
NBER Working Papers
10698, National Bureau of Economic Research, Inc.
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