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A note on optimal allocation with costly verification

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  • Erlanson, Albin
  • Kleiner, Andreas

Abstract

We revisit the problem of a principal allocating an indivisible good with costly verification, as it was formulated and analyzed by Ben-Porath et al. (2014). We establish, in this setting, a general equivalence between Bayesian and ex-post incentive compatible mechanisms. We also provide a simple proof showing that the optimal mechanism is a threshold mechanism.

Suggested Citation

  • Erlanson, Albin & Kleiner, Andreas, 2019. "A note on optimal allocation with costly verification," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 56-62.
    • Handle: RePEc:eee:mateco:v:84:y:2019:i:c:p:56-62
    DOI: 10.1016/j.jmateco.2019.06.002
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    References listed on IDEAS

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    1. Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-1187, July.
    2. Elchanan Ben-Porath & Eddie Dekel & Barton L. Lipman, 2014. "Optimal Allocation with Costly Verification," American Economic Review, American Economic Association, vol. 104(12), pages 3779-3813, December.
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    4. Tymofiy Mylovanov & Andriy Zapechelnyuk, 2017. "Optimal Allocation with Ex Post Verification and Limited Penalties," American Economic Review, American Economic Association, vol. 107(9), pages 2666-2694, September.
    5. Alex Gershkov & Jacob K. Goeree & Alexey Kushnir & Benny Moldovanu & Xianwen Shi, 2013. "On the Equivalence of Bayesian and Dominant Strategy Implementation," Econometrica, Econometric Society, vol. 81(1), pages 197-220, January.
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    7. Mierendorff, Konrad, 2016. "Optimal dynamic mechanism design with deadlines," Journal of Economic Theory, Elsevier, vol. 161(C), pages 190-222.
    8. Yeon‐Koo Che & Jinwoo Kim & Konrad Mierendorff, 2013. "Generalized Reduced‐Form Auctions: A Network‐Flow Approach," Econometrica, Econometric Society, vol. 81(6), pages 2487-2520, November.
    9. Erlanson, Albin & Kleiner, Andreas, 2020. "Costly verification in collective decisions," Theoretical Economics, Econometric Society, vol. 15(3), July.
    10. Alexey Kushnir, 2013. "On the equivalence between Bayesian and dominant strategy implementation: the case of correlated types," ECON - Working Papers 129, Department of Economics - University of Zurich.
    11. Mierendorff, Konrad, 2011. "Asymmetric reduced form Auctions," Economics Letters, Elsevier, vol. 110(1), pages 41-44, January.
    12. Pai, Mallesh M. & Vohra, Rakesh, 2014. "Optimal auctions with financially constrained buyers," Journal of Economic Theory, Elsevier, vol. 150(C), pages 383-425.
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    Cited by:

    1. Axel Niemeyer & Justus Preusser, 2023. "Simple Allocation with Correlated Types," CRC TR 224 Discussion Paper Series crctr224_2023_486, University of Bonn and University of Mannheim, Germany.
    2. Geoffrey A. Chua & Gaoji Hu & Fang Liu, 2023. "Optimal multi-unit allocation with costly verification," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 455-488, October.
    3. Axel Niemeyer & Justus Preusser, 2024. "Optimal Allocation with Peer Information," Papers 2410.08954, arXiv.org.

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