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Existence and monotonicity of optimal debt contracts in costly state verification models

Author

Listed:
  • Ludovic Renou

    (European University Institute and CODE, Universitat Autonoma de Barcelona)

  • Guillaume Carlier

    (Bordeaux I, MAB, UMR CNRS 5466 and Bordeaux IV, GRAPE, UMR CNRS 5113)

Abstract

This note gives a simple proof of the existence and monotonicity of optimal debt contracts in simple models of borrowing and lending with ex-post asymmetric information, risk-averse agents and heterogeneous beliefs. Our argument is based on the concept of nondecreasing rearrangement and on a supermodular version of Hardy-Littlewood inequality.

Suggested Citation

  • Ludovic Renou & Guillaume Carlier, 2003. "Existence and monotonicity of optimal debt contracts in costly state verification models," Economics Bulletin, AccessEcon, vol. 7(5), pages 1-9.
    • Handle: RePEc:ebl:ecbull:eb-03g00004
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    References listed on IDEAS

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    1. Williamson, Stephen D., 1986. "Costly monitoring, financial intermediation, and equilibrium credit rationing," Journal of Monetary Economics, Elsevier, vol. 18(2), pages 159-179, September.
    2. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    3. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 647-663.
    4. Townsend, Robert M., 1988. "Information constrained insurance : The revelation principle extended," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 411-450.
    5. Guillaume Carlier & Ludovic Renou, 2005. "A costly state verification model with diversity of opinions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(2), pages 497-504, February.
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    Cited by:

    1. Mario Ghossoub, 2015. "Equimeasurable Rearrangements with Capacities," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 429-445, February.
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    3. Beare, Brendan K., 2011. "Measure preserving derivatives and the pricing kernel puzzle," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 689-697.
    4. Ghossoub, Mario, 2011. "Monotone equimeasurable rearrangements with non-additive probabilities," MPRA Paper 37629, University Library of Munich, Germany, revised 23 Mar 2012.
    5. Krasa, Stefan & Sharma, Tridib & Villamil, Anne P., 2005. "Debt contracts and cooperative improvements," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 857-874, November.

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    More about this item

    JEL classification:

    • G0 - Financial Economics - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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