IDEAS home Printed from https://ideas.repec.org/p/hal/spmain/halshs-03359574.html
   My bibliography  Save this paper

Certainty Equivalence and Noisy Redistribution

Author

Listed:
  • Stéphane Gauthier

    (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, PJSE - Paris Jourdan Sciences Economiques - 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, IFS - Laboratory of the Institute for Fiscal Studies - Institute for Fiscal Studies)

  • Guy Laroque

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique, UCL - University College of London [London], IFS - Laboratory of the Institute for Fiscal Studies - Institute for Fiscal Studies)

Abstract

This paper assesses the usefulness of stochastic contracts in the presence of informational asymmetries. It identifies circumstances where a stochastic redistribution policy is socially dominated by the deterministic policy where after-tax income lotteries are replaced with their certainty equivalent. It also provides a parametric example where every stochastic menu which has the optimal deterministic menu as certainty equivalent is dominated by the deterministic menu, while there exist feasible and incentive compatible lotteries improving locally upon the deterministic menu.

Suggested Citation

  • Stéphane Gauthier & Guy Laroque, 2021. "Certainty Equivalence and Noisy Redistribution," SciencePo Working papers Main halshs-03359574, HAL.
  • Handle: RePEc:hal:spmain:halshs-03359574
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03359574
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-03359574/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pavlov Gregory, 2011. "Optimal Mechanism for Selling Two Goods," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-35, February.
    2. Jean‐Charles Rochet & John Thanassoulis, 2019. "Intertemporal price discrimination with two products," RAND Journal of Economics, RAND Corporation, vol. 50(4), pages 951-973, December.
    3. Gauthier, Stéphane & Laroque, Guy, 2014. "On the value of randomization," Journal of Economic Theory, Elsevier, vol. 151(C), pages 493-507.
    4. Stiglitz, Joseph E., 1982. "Utilitarianism and horizontal equity : The case for random taxation," Journal of Public Economics, Elsevier, vol. 18(1), pages 1-33, June.
    5. Lollivier, Stefan & Rochet, Jean-Charles, 1983. "Bunching and second-order conditions: A note on optimal tax theory," Journal of Economic Theory, Elsevier, vol. 31(2), pages 392-400, December.
    6. 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.
    7. , & , J., 2015. "Maximal revenue with multiple goods: nonmonotonicity and other observations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    8. Manelli, Alejandro M. & Vincent, Daniel R., 2007. "Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly," Journal of Economic Theory, Elsevier, vol. 137(1), pages 153-185, November.
    9. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    10. Joel Slemrod, 2007. "Cheating Ourselves: The Economics of Tax Evasion," Journal of Economic Perspectives, American Economic Association, vol. 21(1), pages 25-48, Winter.
    11. Thanassoulis, John, 2004. "Haggling over substitutes," Journal of Economic Theory, Elsevier, vol. 117(2), pages 217-245, August.
    12. 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.
    13. John Morgan, 2000. "Financing Public Goods by Means of Lotteries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 761-784.
    14. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    15. repec:hal:pseose:hal-00969344 is not listed on IDEAS
    16. Pycia, Marek & Ünver, M. Utku, 2015. "Decomposing random mechanisms," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 21-33.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wladislaw Mill & Cornelius Schneider, 2023. "The Bright Side of Tax Evasion," CESifo Working Paper Series 10615, CESifo.
    2. Slemrod, Joel & Traxler, Christian, 2010. "Optimal observability in a linear income tax," Economics Letters, Elsevier, vol. 108(2), pages 105-108, August.
    3. Szalay, Dezső & Ketelaar, Felix, 2014. "Pricing a Package of Services," CEPR Discussion Papers 10313, C.E.P.R. Discussion Papers.
    4. Bikhchandani, Sushil & Mishra, Debasis, 2022. "Selling two identical objects," Journal of Economic Theory, Elsevier, vol. 200(C).
    5. Sergiu Hart & Noam Nisan, 2013. "Selling Multiple Correlated Goods: Revenue Maximization and Menu-Size Complexity (old title: "The Menu-Size Complexity of Auctions")," Papers 1304.6116, arXiv.org, revised Nov 2018.
    6. Johanna Hey & Schreiber,Ulrich & Fabian Pönnighaus & Felix Bierbrauer, 2013. "Tax Havens and “Legal Tax Avoidance”: How Can Fairer Taxation Be Achieved?," ifo Schnelldienst, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 66(11), pages 03-13, June.
    7. Hart, Sergiu & Nisan, Noam, 2017. "Approximate revenue maximization with multiple items," Journal of Economic Theory, Elsevier, vol. 172(C), pages 313-347.
    8. Jean‐Charles Rochet & John Thanassoulis, 2019. "Intertemporal price discrimination with two products," RAND Journal of Economics, RAND Corporation, vol. 50(4), pages 951-973, December.
    9. Tang, Pingzhong & Wang, Zihe, 2017. "Optimal mechanisms with simple menus," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 54-70.
    10. Beccuti, Juan & Möller, Marc, 2018. "Dynamic adverse selection with a patient seller," Journal of Economic Theory, Elsevier, vol. 173(C), pages 95-117.
    11. Hart, Sergiu & Nisan, Noam, 2019. "Selling multiple correlated goods: Revenue maximization and menu-size complexity," Journal of Economic Theory, Elsevier, vol. 183(C), pages 991-1029.
    12. Ketelaar, Felix & Szalay, Dezsö, 2014. "Pricing a Package of Services - When (not) to bundle," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 487, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    13. Chang, Dongkyu, 2021. "Optimal sales mechanism with outside options," Journal of Economic Theory, Elsevier, vol. 195(C).
    14. Schäfers, Sebastian, 2022. "Product Lotteries and Loss Aversion," Working papers 2022/06, Faculty of Business and Economics - University of Basel.
    15. Stéphane Gauthier & Guy Laroque, 2022. "Optimal Random Taxation and Redistribution," SciencePo Working papers Main hal-03915336, HAL.
    16. Stiglitz, Joseph E., 2018. "Pareto efficient taxation and expenditures: Pre- and re-distribution," Journal of Public Economics, Elsevier, vol. 162(C), pages 101-119.
    17. Matthias Lang, 2023. "Stochastic contracts and subjective evaluations," RAND Journal of Economics, RAND Corporation, vol. 54(1), pages 104-134, March.
    18. Chen, Bo & Ni, Debing, 2017. "Optimal bundle pricing under correlated valuations," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 248-281.
    19. Martin Hellwig, 2010. "Utilitarian mechanism design for an excludable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 361-397, September.
    20. Pavlov Gregory, 2011. "A Property of Solutions to Linear Monopoly Problems," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-18, February.

    More about this item

    Keywords

    Asymmetric information; Random contracts; Certainty equivalent;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:spmain:halshs-03359574. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Contact - Sciences Po Departement of Economics (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.