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Assignment maximization

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  • Afacan, Mustafa Oğuz
  • Bó, Inácio Guerberoff Lanari
  • Turhan, Bertan

Abstract

We evaluate the goal of maximizing the number of individually rational assignments. We show that it implies incentive, fairness, and implementation impossibilities. Despite that, we present two classes of mechanisms that maximize assignments. The first are Pareto efficient, and undominated - in terms of number of assignments - in equilibrium. The second are fair for unassigned students and assign weakly more students than stable mechanisms in equilibrium. We provide comparisons with well-known mechanisms through computer simulations. Those show that the difference in number of matched agents between the proposed mechanisms and others in the literature is large and significant.

Suggested Citation

  • Afacan, Mustafa Oğuz & Bó, Inácio Guerberoff Lanari & Turhan, Bertan, 2018. "Assignment maximization," Discussion Papers, Research Unit: Market Behavior SP II 2018-201, WZB Berlin Social Science Center.
    • Handle: RePEc:zbw:wzbmbh:spii2018201
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Kondratev, Aleksei Y. & Nesterov, Alexander S., 2022. "Minimal envy and popular matchings," European Journal of Operational Research, Elsevier, vol. 296(3), pages 776-787.
    2. Zhang, Jun, 2023. "Strategy-proof allocation with outside option," Games and Economic Behavior, Elsevier, vol. 137(C), pages 50-67.
    3. 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.
    4. 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.
    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

    Keywords

    market design; matching; maximal matching; fairness; object allocation; school choice;
    All these keywords.

    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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