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Assignment Maximization

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  • Mustafa Ou{g}uz Afacan
  • In'acio B'o
  • Bertan Turhan

Abstract

We evaluate the goal of maximizing the number of individuals matched to acceptable outcomes. 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.

Suggested Citation

  • Mustafa Ou{g}uz Afacan & In'acio B'o & Bertan Turhan, 2020. "Assignment Maximization," Papers 2012.01011, arXiv.org.
    • Handle: RePEc:arx:papers:2012.01011
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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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