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A constructive proof of the ordinal efficiency welfare theorem

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  • Manea, Mihai

Abstract

We provide a non-geometric constructive short proof of the ordinal efficiency welfare theorem.

Suggested Citation

  • Manea, Mihai, 2008. "A constructive proof of the ordinal efficiency welfare theorem," Journal of Economic Theory, Elsevier, vol. 141(1), pages 276-281, July.
    • Handle: RePEc:eee:jetheo:v:141:y:2008:i:1:p:276-281
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    References listed on IDEAS

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    1. Katta, Akshay-Kumar & Sethuraman, Jay, 2006. "A solution to the random assignment problem on the full preference domain," Journal of Economic Theory, Elsevier, vol. 131(1), pages 231-250, November.
    2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    3. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    4. McLennan, Andrew, 2002. "Ordinal Efficiency and the Polyhedral Separating Hyperplane Theorem," Journal of Economic Theory, Elsevier, vol. 105(2), pages 435-449, August.
    5. ,, 2009. "Asymptotic ordinal inefficiency of random serial dictatorship," Theoretical Economics, Econometric Society, vol. 4(2), June.
    6. Abdulkadiroglu, Atila & Sonmez, Tayfun, 2003. "Ordinal efficiency and dominated sets of assignments," Journal of Economic Theory, Elsevier, vol. 112(1), pages 157-172, September.
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    Cited by:

    1. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2014. "Assigning agents to a line," Games and Economic Behavior, Elsevier, vol. 87(C), pages 539-553.
    2. Schlegel, J. C. & Mamageishvili, A., 2017. "Welfare theorems for random assignments with priorities," Working Papers 17/05, Department of Economics, City University London.
    3. Christopher P Chambers & Federico Echenique, 2021. "Empirical Welfare Economics," Papers 2108.03277, arXiv.org, revised Jun 2024.
    4. Schlegel, Jan Christoph & Mamageishvili, Akaki, 2020. "Welfare theorems for random assignments with priorities," Games and Economic Behavior, Elsevier, vol. 124(C), pages 62-81.
    5. Aziz, Haris & Brandl, Florian & Brandt, Felix, 2015. "Universal Pareto dominance and welfare for plausible utility functions," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 123-133.
    6. Ping Zhan, 2023. "Simultaneous eating algorithm and greedy algorithm in assignment problems," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-24, July.
    7. Tom Demeulemeester & Juan S. Pereyra, 2022. "Rawlsian Assignments," Papers 2207.02930, arXiv.org, revised Oct 2024.
    8. Kojima, Fuhito & Manea, Mihai, 2010. "Incentives in the probabilistic serial mechanism," Journal of Economic Theory, Elsevier, vol. 145(1), pages 106-123, January.
    9. Athanassoglou, Stergios, 2011. "Efficiency under a combination of ordinal and cardinal information on preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 180-185, March.
    10. Hashimoto, Tadashi & Hirata, Daisuke & Kesten, Onur & Kurino, Morimitsu & Unver, Utku, 2014. "Two axiomatic approaches to the probabilistic serial mechanism," Theoretical Economics, Econometric Society, vol. 9(1), January.
    11. Basteck, Christian, 2018. "Fair solutions to the random assignment problem," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 163-172.
    12. Carroll, Gabriel, 2010. "An efficiency theorem for incompletely known preferences," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2463-2470, November.
    13. repec:cty:dpaper:10.1016/j.geb.2020.08.009 is not listed on IDEAS
    14. repec:cty:dpaper:18702 is not listed on IDEAS
    15. Doğan, Battal & Yıldız, Kemal, 2016. "Efficiency and stability of probabilistic assignments in marriage problems," Games and Economic Behavior, Elsevier, vol. 95(C), pages 47-58.
    16. Federico Echenique & Joseph Root & Fedor Sandomirskiy, 2022. "Efficiency in Random Resource Allocation and Social Choice," Papers 2203.06353, arXiv.org, revised Aug 2022.
    17. Kojima, Fuhito, 2009. "Random assignment of multiple indivisible objects," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 134-142, January.
    18. Doğan, Battal & Doğan, Serhat & Yıldız, Kemal, 2018. "A new ex-ante efficiency criterion and implications for the probabilistic serial mechanism," Journal of Economic Theory, Elsevier, vol. 175(C), pages 178-200.
    19. Harless, Patrick, 2019. "Efficient rules for probabilistic assignment," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 107-116.

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