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Efficient reallocation of indivisible resources: Pair-efficiency versus Pareto-efficiency

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  • Mandal, Pinaki

Abstract

In the object reallocation problem, achieving Pareto-efficiency is desirable, but may be too demanding for implementation purposes. In contrast, pair-efficiency, which is the minimal efficiency requirement, is more suitable. Despite being a significant relaxation, however, pair-efficiency ensures Pareto-efficiency for any strategy-proof and individually rational rule when agents’ preferences are unrestricted.

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  • Mandal, Pinaki, 2025. "Efficient reallocation of indivisible resources: Pair-efficiency versus Pareto-efficiency," Journal of Mathematical Economics, Elsevier, vol. 119(C).
    • Handle: RePEc:eee:mateco:v:119:y:2025:i:c:s0304406825000667
    DOI: 10.1016/j.jmateco.2025.103149
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    References listed on IDEAS

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    1. Allan M. Feldman, 1973. "Bilateral Trading Processes, Pairwise Optimally, and Pareto Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(4), pages 463-473.
    2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    3. Tamura, Yuki, 2023. "Object reallocation problems with single-dipped preferences," Games and Economic Behavior, Elsevier, vol. 140(C), pages 181-196.
    4. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
    5. Bade, Sophie, 2019. "Matching with single-peaked preferences," Journal of Economic Theory, Elsevier, vol. 180(C), pages 81-99.
    6. Hu, Xinquan & Zhang, Jun, 2024. "Characterization of Top Trading Cycles with single-dipped preferences," Economics Letters, Elsevier, vol. 241(C).
    7. Ekici, Özgün, 2024. "Pair-efficient reallocation of indivisible objects," Theoretical Economics, Econometric Society, vol. 19(2), May.
    8. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 75-83.
    9. Ekici, Özgün & Sethuraman, Jay, 2024. "Characterizing the TTC rule via pair-efficiency: A short proof," Economics Letters, Elsevier, vol. 234(C).
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    Cited by:

    1. Tom Demeulemeester & Bettina Klaus, 2025. "Pairwise efficiency and monotonicity imply Pareto efficiency in (probabilistic) object allocation," Papers 2508.05340, arXiv.org.

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