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Moral hazard and the spanning condition without the first-order approach

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  • Kirkegaard, René

Abstract

The “spanning condition” describes a situation where the agent's effort determines the weights placed on two distinct technologies. Sufficient conditions are known under which the first-order approach (FOA) is valid when the spanning condition holds. In this paper, a complete solution to the problem is provided. Thus, the problem is solved even when the FOA is not valid. The solution has two main steps. The first step fully characterizes the set of implementable actions. The second step establishes that the optimal contract can be found by applying the FOA to the newly identified set of feasible actions. This procedure correctly solves a famous counterexample due to Mirrlees in which the standard FOA is not valid. A much simpler and economically more compelling counterexample is provided. Moreover, the model provides a tractable environment in which it is possible to study comparative statics even when the FOA is not justified.

Suggested Citation

  • Kirkegaard, René, 2017. "Moral hazard and the spanning condition without the first-order approach," Games and Economic Behavior, Elsevier, vol. 102(C), pages 373-387.
    • Handle: RePEc:eee:gamebe:v:102:y:2017:i:c:p:373-387
    DOI: 10.1016/j.geb.2017.01.001
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    Cited by:

    1. Kirkegaard, René, 2023. "Endogenous criteria for success," Journal of Economic Theory, Elsevier, vol. 214(C).
    2. Rene Kirkegaard, 2023. "Financial Constraints and Multivariate Incomplete Information in the Mixture Model of Contests," Working Papers 2402, University of Guelph, Department of Economics and Finance.
    3. Wang, Wenbin & Hu, Shanshan, 2021. "Moral hazard with limited liability: Random-variable formulation and optimal contract structures," Games and Economic Behavior, Elsevier, vol. 126(C), pages 374-386.

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    More about this item

    Keywords

    First-order approach; Moral hazard; Principal-agent models; Spanning condition;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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