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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., 1988. "Information constrained insurance : The revelation principle extended," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 411-450.
    3. 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.
    4. 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.
    5. 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.
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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.
    2. Ghossoub, Mario, 2011. "Monotone equimeasurable rearrangements with non-additive probabilities," MPRA Paper 37629, University Library of Munich, Germany, revised 23 Mar 2012.
    3. Nielsen, Carsten Krabbe, 2015. "The loan contract with costly state verification and subjective beliefs," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 89-105.
    4. Beare, Brendan K., 2011. "Measure preserving derivatives and the pricing kernel puzzle," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 689-697.
    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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