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Assignment maximization

Author

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  • Mustafa Oğuz Afacan
  • Inácio Bó
  • Bertan Turhan

Abstract

We evaluate the goal of maximizing the number of individuals matched to acceptable outcomes. We present two mechanisms that maximize assignments. The first is Pareto efficient and undominated—in terms of the number of assignments—in equilibrium. The second is fair for unassigned agents and assigns weakly more agents than any stable mechanism in equilibrium.

Suggested Citation

  • Mustafa Oğuz Afacan & Inácio Bó & Bertan Turhan, 2023. "Assignment maximization," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 123-138, February.
  • Handle: RePEc:bla:jpbect:v:25:y:2023:i:1:p:123-138
    DOI: 10.1111/jpet.12602
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    1. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    2. 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.
    3. Aygün, Orhan & Turhan, Bertan, 2020. "Dynamic reserves in matching markets," Journal of Economic Theory, Elsevier, vol. 188(C).
    4. Afacan, Mustafa Oğuz & Evdokimov, Piotr & Hakimov, Rustamdjan & Turhan, Bertan, 2022. "Parallel markets in school choice," Games and Economic Behavior, Elsevier, vol. 133(C), pages 181-201.
    5. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    6. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
    7. Inácio Bó & Rustamdjan Hakimov, 2020. "Iterative Versus Standard Deferred Acceptance: Experimental Evidence," The Economic Journal, Royal Economic Society, vol. 130(626), pages 356-392.
    8. Orhan Aygün & Bertan Turhan, 2023. "How to De-Reserve Reserves: Admissions to Technical Colleges in India," Management Science, INFORMS, vol. 69(10), pages 6147-6164, October.
    9. Manjunath, Vikram & Turhan, Bertan, 2016. "Two school systems, one district: What to do when a unified admissions process is impossible," Games and Economic Behavior, Elsevier, vol. 95(C), pages 25-40.
    10. Bogomolnaia, Anna & Moulin, Herve, 2015. "Size versus fairness in the assignment problem," Games and Economic Behavior, Elsevier, vol. 90(C), pages 119-127.
    11. Turhan, Bertan, 2019. "Welfare and incentives in partitioned school choice markets," Games and Economic Behavior, Elsevier, vol. 113(C), pages 199-208.
    12. Itai Ashlagi & Amin Saberi & Ali Shameli, 2020. "Assignment Mechanisms Under Distributional Constraints," Operations Research, INFORMS, vol. 68(2), pages 467-479, March.
    13. Yuichiro Kamada & Fuhito Kojima, 2015. "Efficient Matching under Distributional Constraints: Theory and Applications," American Economic Review, American Economic Association, vol. 105(1), pages 67-99, January.
    14. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    15. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    16. Tommy Andersson & Lars Ehlers, 2020. "Assigning Refugees to Landlords in Sweden: Efficient, Stable, and Maximum Matchings," Scandinavian Journal of Economics, Wiley Blackwell, vol. 122(3), pages 937-965, July.
    17. Troyan, Peter & Delacrétaz, David & Kloosterman, Andrew, 2020. "Essentially stable matchings," Games and Economic Behavior, Elsevier, vol. 120(C), pages 370-390.
    18. Tommy Andersson & Jörgen Kratz, 2020. "Pairwise Kidney Exchange over the Blood Group Barrier," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(3), pages 1091-1133.
    19. Eun Jeong Heo & Sunghoon Hong & Youngsub Chun, 2021. "Kidney exchange with immunosuppressants," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 1-19, July.
    20. Weifeng Liu, 2019. "Participation constraints of matching mechanisms," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(3), pages 488-511, June.
    21. Sönmez, Tayfun & Ünver, M. Utku & Yılmaz, Özgür, 2018. "How (not) to integrate blood subtyping technology to kidney exchange," Journal of Economic Theory, Elsevier, vol. 176(C), pages 193-231.
    22. Mustafa Og̃uz Afacan & Zeynel Harun Aliog̃ulları & Mehmet Barlo, 2017. "Sticky matching in school choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 509-538, October.
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    Cited by:

    1. Noda, Shunya, 2023. "A planner-optimal matching mechanism and its incentive compatibility in a restricted domain," Games and Economic Behavior, Elsevier, vol. 141(C), pages 364-379.
    2. Mustafa Oğuz Afacan & Umut Dur, 2023. "Strategy‐proof size improvement: is it possible?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 125(2), pages 321-338, April.
    3. Kondratev, Aleksei Y. & Nesterov, Alexander S., 2022. "Minimal envy and popular matchings," European Journal of Operational Research, Elsevier, vol. 296(3), pages 776-787.
    4. Zhang, Jun, 2023. "Strategy-proof allocation with outside option," Games and Economic Behavior, Elsevier, vol. 137(C), pages 50-67.
    5. Haris Aziz & Florian Brandl, 2021. "Efficient, Fair, and Incentive-Compatible Healthcare Rationing," Papers 2102.04384, arXiv.org, revised Sep 2021.
    6. Noda, Shunya, 2020. "Size versus truncation robustness in the assignment problem," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 1-5.

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    More about this item

    JEL classification:

    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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