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A General Framework for Robust Contracting Models

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  • Daniel Walton
  • Gabriel Carroll

Abstract

We study a class of models of moral hazard in which a principal contracts with a counterparty, which may have its own internal organizational structure. The principal has non‐Bayesian uncertainty as to what actions might be taken in response to the contract, and wishes to maximize her worst‐case payoff. We identify conditions on the counterparty's possible responses to any given contract that imply that a linear contract solves this maxmin problem. In conjunction with a Richness property motivated by much previous literature, we identify a Responsiveness property that is sufficient—and, in an appropriate sense, also necessary—to ensure that linear contracts are optimal. We illustrate by contrasting several possible models of contracting in hierarchies. The analysis demonstrates how one can distill key features of contracting models that allow their findings to be carried beyond the bilateral setting.

Suggested Citation

  • Daniel Walton & Gabriel Carroll, 2022. "A General Framework for Robust Contracting Models," Econometrica, Econometric Society, vol. 90(5), pages 2129-2159, September.
  • Handle: RePEc:wly:emetrp:v:90:y:2022:i:5:p:2129-2159
    DOI: 10.3982/ECTA17386
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    References listed on IDEAS

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    Cited by:

    1. Halil .Ibrahim Bayrak & c{C}au{g}{i}l Koc{c}yiu{g}it & Daniel Kuhn & Mustafa c{C}elebi P{i}nar, 2022. "Distributionally Robust Optimal Allocation with Costly Verification," Papers 2211.15122, arXiv.org, revised Dec 2022.
    2. Chang Liu, 2022. "Robust Contracts with Exploration," Papers 2212.00157, arXiv.org, revised Feb 2024.
    3. Ashwin Kambhampati, 2024. "Robust Performance Evaluation of Independent and Identical Agents," Papers 2401.16542, arXiv.org.
    4. Peter Zhang, 2023. "Distributionally Robust Principal-Agent Problems and Optimality of Contracts," Papers 2303.07468, arXiv.org, revised Jan 2024.
    5. Tal Alon & Paul Dutting & Yingkai Li & Inbal Talgam-Cohen, 2022. "Bayesian Analysis of Linear Contracts," Papers 2211.06850, arXiv.org, revised Jul 2023.

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