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Mechanisms without transfers for fully biased agents

Author

Listed:
  • Deniz Kattwinkel
  • Axel Niemeyer
  • Justus Preusser
  • Alexander Winter
Abstract
A principal must decide between two options. Which one she prefers depends on the private information of two agents. One agent always prefers the first option; the other always prefers the second. Transfers are infeasible. One application of this setting is the efficient division of a fixed budget between two competing departments. We first characterize all implementable mechanisms under arbitrary correlation. Second, we study when there exists a mechanism that yields the principal a higher payoff than she could receive by choosing the ex-ante optimal decision without consulting the agents. In the budget example, such a profitable mechanism exists if and only if the information of one department is also relevant for the expected returns of the other department. We generalize this insight to derive necessary and sufficient conditions for the existence of a profitable mechanism in the n-agent allocation problem with independent types.

Suggested Citation

  • Deniz Kattwinkel & Axel Niemeyer & Justus Preusser & Alexander Winter, 2022. "Mechanisms without transfers for fully biased agents," Papers 2205.10910, arXiv.org.
    • Handle: RePEc:arx:papers:2205.10910
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    References listed on IDEAS

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    Cited by:

    1. Mariann Ollár & Antonio Penta, 2023. "A Network Solution to Robust Implementation: The Case of Identical but Unknown Distributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(5), pages 2517-2554.
    2. Axel Niemeyer & Justus Preusser, 2024. "Optimal Allocation with Peer Information," Papers 2410.08954, arXiv.org, revised Mar 2025.

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