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Strategy-proof stochastic assignment

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  • Erdil, Aytek

Abstract

I study strategy-proof assignment mechanisms where the agents reveal their preference rankings over the available objects. A stochastic mechanism returns lotteries over deterministic assignments, and mechanisms are compared according to first-order stochastic dominance.

Suggested Citation

  • Erdil, Aytek, 2014. "Strategy-proof stochastic assignment," Journal of Economic Theory, Elsevier, vol. 151(C), pages 146-162.
  • Handle: RePEc:eee:jetheo:v:151:y:2014:i:c:p:146-162
    DOI: 10.1016/j.jet.2013.11.002
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    References listed on IDEAS

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    1. Kojima, Fuhito & Manea, Mihai, 2010. "Incentives in the probabilistic serial mechanism," Journal of Economic Theory, Elsevier, vol. 145(1), pages 106-123, January.
    2. EHLERS, Lars, 2006. "Respecting Priorities when Assigning Students to Schools," Cahiers de recherche 04-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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    7. Pathak, Parag A. & Sethuraman, Jay, 2011. "Lotteries in student assignment: An equivalence result," Theoretical Economics, Econometric Society, vol. 6(1), January.
    8. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the New York City High School Match," NBER Working Papers 14864, National Bureau of Economic Research, Inc.
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    15. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, Oxford University Press, vol. 125(3), pages 1297-1348.
    16. Peters, Hans & Roy, Souvik & Sen, Arunava & Storcken, Ton, 2014. "Probabilistic strategy-proof rules over single-peaked domains," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 123-127.
    17. Ehlers, Lars & Erdil, Aytek, 2010. "Efficient assignment respecting priorities," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1269-1282, May.
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    Citations

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    Cited by:

    1. Lars EHLERS & Dipjyoti MAJUMDAR & Debasis MISHRA & Arunava SEN, 2016. "Continuity and Incentive Compatibility in Cardinal Voting Mechanisms," Cahiers de recherche 04-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    2. André Schmelzer, 2017. "Strategy-proofness of stochastic assignment mechanisms," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2017_13, Max Planck Institute for Research on Collective Goods.
    3. Kesten, Onur & Kurino, Morimitsu & Nesterov, Alexander, 2015. "Efficient lottery design," Discussion Papers, Research Unit: Market Behavior SP II 2015-203, WZB Berlin Social Science Center.
    4. Bogomolnaia, Anna & Moulin, Herve, 2015. "Size versus fairness in the assignment problem," Games and Economic Behavior, Elsevier, vol. 90(C), pages 119-127.
    5. repec:eee:gamebe:v:105:y:2017:i:c:p:1-8 is not listed on IDEAS
    6. Bade, Sophie, 2016. "Fairness and group-strategyproofness clash in assignment problems," Journal of Economic Theory, Elsevier, vol. 165(C), pages 257-262.
    7. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
    8. repec:eee:gamebe:v:110:y:2018:i:c:p:71-89 is not listed on IDEAS
    9. Martini, Giorgio, 2016. "Strategy-proof and fair assignment is wasteful," Games and Economic Behavior, Elsevier, vol. 98(C), pages 172-179.
    10. Alexander Nesterov, 2014. "Fairness and Efficiency in a Random Assignment: Three Impossibility Results," Working Papers 2014006, Berlin Doctoral Program in Economics and Management Science (BDPEMS).
    11. repec:eee:matsoc:v:90:y:2017:i:c:p:80-92 is not listed on IDEAS
    12. repec:eee:jetheo:v:170:y:2017:i:c:p:145-168 is not listed on IDEAS
    13. Hirata, Daisuke & Kasuya, Yusuke, 2017. "On stable and strategy-proof rules in matching markets with contracts," Journal of Economic Theory, Elsevier, vol. 168(C), pages 27-43.
    14. EHLERS, Lars & MAJUMDAR, Dipjyoti & MISHRA, Debasis & SEN, Arunava, 2016. "Continuity and incentive compatibility," Cahiers de recherche 2016-04, Universite de Montreal, Departement de sciences economiques.
    15. Cho, Wonki Jo & Doğan, Battal, 2016. "Equivalence of efficiency notions for ordinal assignment problems," Economics Letters, Elsevier, vol. 146(C), pages 8-12.
    16. Tang, Qianfeng & Yu, Jingsheng, 2014. "A new perspective on Kesten's school choice with consent idea," Journal of Economic Theory, Elsevier, vol. 154(C), pages 543-561.

    More about this item

    Keywords

    Random assignment; Strategy-proofness; Priority based assignment; Ordinal efficiency; School choice;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • 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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