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On the value of randomization

Author

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  • Stéphane Gauthier

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Guy Laroque

    (Sciences Po - Sciences Po)

Abstract

An optimal contract may involve randomization when the agents differ in their attitudes towards risk, so that randomization enables the principal to relax the incentive constraints. The paper provides a necessary and sufficient condition for local random deviations to be welfare improving in a neighborhood of a nonrandom optimum.

Suggested Citation

  • Stéphane Gauthier & Guy Laroque, 2011. "On the value of randomization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00639834, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00639834
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00639834v2
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    References listed on IDEAS

    as
    1. Slemrod, Joel & Traxler, Christian, 2010. "Optimal observability in a linear income tax," Economics Letters, Elsevier, vol. 108(2), pages 105-108, August.
    2. Weiss, Laurence, 1976. "The Desirability of Cheating Incentives and Randomness in the Optimal Income Tax," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1343-1352, December.
    3. Alberto Bennardo & Pierre-Andre Chiappori, 2003. "Bertrand and Walras Equilibria under Moral Hazard," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 785-817, August.
    4. Richard Arnott & Joseph E. Stiglitz, 1988. "Randomization with Asymmetric Information," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 344-362, Autumn.
    5. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    6. Strausz, Roland, 2006. "Deterministic versus stochastic mechanisms in principal-agent models," Journal of Economic Theory, Elsevier, vol. 128(1), pages 306-314, May.
    7. Guesnerie, Roger & Seade, Jesus, 1982. "Nonlinear pricing in a finite economy," Journal of Public Economics, Elsevier, vol. 17(2), pages 157-179, March.
    8. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    9. Brito, Dagobert L. & Hamilton, Jonathan H. & Slutsky, Steven M. & Stiglitz, Joseph E., 1995. "Randomization in optimal income tax schedules," Journal of Public Economics, Elsevier, vol. 56(2), pages 189-223, February.
    10. Carla Marchese & Fabio Privileggi, 2004. "Tax Amnesties and the Self-Selection of Risk-Averse Taxpayers," European Journal of Law and Economics, Springer, vol. 18(3), pages 319-341, December.
    11. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    12. Joel Slemrod, 2007. "Cheating Ourselves: The Economics of Tax Evasion," Journal of Economic Perspectives, American Economic Association, vol. 21(1), pages 25-48, Winter.
    13. Hellwig, Martin F., 2007. "The undesirability of randomized income taxation under decreasing risk aversion," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 791-816, April.
    14. Cremer, Helmuth & Gahvari, Firouz, 1993. "Tax evasion and optimal commodity taxation," Journal of Public Economics, Elsevier, vol. 50(2), pages 261-275, February.
    15. Marchese, Carla, 2014. "Tax Amnesties," IEL Working Papers 17, Institute of Public Policy and Public Choice - POLIS.
    16. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
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    Citations

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    Cited by:

    1. Lang, Matthias, 2017. "Legal uncertainty as a welfare enhancing screen," European Economic Review, Elsevier, vol. 91(C), pages 274-289.
    2. Stéphane Gauthier & Guy Laroque, 2022. "Optimal Random Taxation and Redistribution," SciencePo Working papers Main hal-03915336, HAL.
    3. Matthias Lang, 2023. "Stochastic contracts and subjective evaluations," RAND Journal of Economics, RAND Corporation, vol. 54(1), pages 104-134, March.
    4. Philippe Choné & Romain De Nijs & Lionel Wilner, 2012. "Intertemporal Pricing with Unobserved Consumer Arrival Times," Working Papers 2012-23, Center for Research in Economics and Statistics.
    5. Stéphane Gauthier & Guy Laroque, 2021. "Certainty Equivalence and Noisy Redistribution," SciencePo Working papers Main halshs-03359574, HAL.
    6. Pietro Ortoleva & Evgenii Safonov & Leeat Yariv, 2021. "Who Cares More? Allocation with Diverse Preference Intensities," Papers 2108.12025, arXiv.org.
    7. Gauthier, Stéphane & Laroque, Guy, 2017. "Redistribution by means of lotteries," Journal of Economic Theory, Elsevier, vol. 169(C), pages 707-716.
    8. repec:hal:pseose:hal-01158155 is not listed on IDEAS

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    3. Brito, Dagobert L. & Hamilton, Jonathan H. & Slutsky, Steven M. & Stiglitz, Joseph E., 1995. "Randomization in optimal income tax schedules," Journal of Public Economics, Elsevier, vol. 56(2), pages 189-223, February.
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    More about this item

    Keywords

    Random taxation; stochastic contract; second best; tax evasion.; Taxation aléatoire; contrats aléatoires; second rang; fraude fiscale.;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • H26 - Public Economics - - Taxation, Subsidies, and Revenue - - - Tax Evasion and Avoidance

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