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Efficient Implementation with Interdependent Valuations and Maxmin Agents

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  • Song, Yangwei

    (Humboldt University Berlin)

Abstract

We consider a single object allocation problem with multidimensional signals and interdependent valuations. When agents signals are statistically independent, Jehiel and Moldovanu show that efficient and Bayesian incentive compatible mechanisms generally do not exist. In this paper, we extend the standard model to accommodate maxmin agents and obtain necessary as well as sufficient conditions under which efficient allocations can be implemented. In particular, we derive a condition that quantifies the amount of ambiguity necessary for efficient implementation. We further show that under some natural assumptions on the preferences, this necessary amount of ambiguity becomes sufficient. Finally, we provide a definition of informational size such that given any nontrivial amount of ambiguity, efficient allocations can be implemented if agents are sufficiently informationally small.

Suggested Citation

  • Song, Yangwei, 2018. "Efficient Implementation with Interdependent Valuations and Maxmin Agents," Rationality and Competition Discussion Paper Series 92, CRC TRR 190 Rationality and Competition.
    • Handle: RePEc:rco:dpaper:92
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    Cited by:

    1. Takashi Ui, 2023. "Strategic Ambiguity in Global Games," Papers 2303.12263, arXiv.org, revised Jul 2024.
    2. Song, Yangwei, 2023. "Approximate Bayesian implementation and exact maxmin implementation: An equivalence," Games and Economic Behavior, Elsevier, vol. 139(C), pages 56-87.
    3. Kocherlakota, Narayana R. & Song, Yangwei, 2019. "Public goods with ambiguity in large economies," Journal of Economic Theory, Elsevier, vol. 182(C), pages 218-246.
    4. Guo, Huiyi, 2024. "Collusion-proof mechanisms for full surplus extraction," Games and Economic Behavior, Elsevier, vol. 145(C), pages 263-284.
    5. Guo, Huiyi, 2019. "Mechanism design with ambiguous transfers: An analysis in finite dimensional naive type spaces," Journal of Economic Theory, Elsevier, vol. 183(C), pages 76-105.
    6. Tang, Rui & Zhang, Mu, 2021. "Maxmin implementation," Journal of Economic Theory, Elsevier, vol. 194(C).
    7. Julio Backhoff-Veraguas & Patrick Beissner & Ulrich Horst, 2022. "Robust contracting in general contract spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 917-945, June.
    8. Song, Yangwei, 2022. "Approximate Bayesian Implementation and Exact Maxmin Implementation: An Equivalence," Rationality and Competition Discussion Paper Series 362, CRC TRR 190 Rationality and Competition.

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    More about this item

    Keywords

    efficient implementation; ambiguity aversion; multidimensional signal; interdependent valuation;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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