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Screening with convex menus and optimal flow taxation

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  • Rothschild, Casey

Abstract

This paper considers a family of screening problems in which the principal is constrained to offer only convex menus. Applications include: (i) optimal flow taxation when individuals can substitute consumption and leisure inter-temporally; (ii) optimal product design for a linear-pricing monopolist; (iii) non-exclusive-cum-linearly-priced annuity markets. A modified version of a Myerson (1979)-Mirrlees (1971) direct mechanism—in which standard incentive compatibility constraints are replaced by “no-convexification” constraints—can be used to compute optimal allocations in this family of problems. In the flow taxation application, the optimal tax schedule necessarily features progressive marginal tax rates, typically features “distortions at the top,” and can be analyzed by adapting standard ironing techniques.

Suggested Citation

  • Rothschild, Casey, 2019. "Screening with convex menus and optimal flow taxation," Journal of Public Economics, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:pubeco:v:178:y:2019:i:c:s0047272719301136
    DOI: 10.1016/j.jpubeco.2019.104052
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    References listed on IDEAS

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    1. Seade, J. K., 1977. "On the shape of optimal tax schedules," Journal of Public Economics, Elsevier, vol. 7(2), pages 203-235, April.
    2. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    3. I. Gilboa & A. Postlewaite & L. Samuelson & D. Schmeidler, 2015. "Economic models as analogies," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 4.
    4. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    5. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    6. Brett, Craig & Weymark, John A., 2008. "The impact of changing skill levels on optimal nonlinear income taxes," Journal of Public Economics, Elsevier, vol. 92(7), pages 1765-1771, July.
    7. Ebert, Udo, 1992. "A reexamination of the optimal nonlinear income tax," Journal of Public Economics, Elsevier, vol. 49(1), pages 47-73, October.
    8. Jesus Seade, 1982. "On the Sign of the Optimum Marginal Income Tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 637-643.
    9. Riley, John G, 1979. "Informational Equilibrium," Econometrica, Econometric Society, vol. 47(2), pages 331-359, March.
    10. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 263-282.
    11. Scheuer, Florian & Werning, Iván, 2016. "Mirrlees meets Diamond-Mirrlees," CEPR Discussion Papers 11172, C.E.P.R. Discussion Papers.
    12. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    13. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    14. 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.
    15. Casey Rothschild, 2015. "Nonexclusivity, Linear Pricing, and Annuity Market Screening," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(1), pages 1-32, March.
    16. Diamond, Peter A, 1998. "Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates," American Economic Review, American Economic Association, vol. 88(1), pages 83-95, March.
    17. Crocker, Keith J. & Snow, Arthur, 1985. "The efficiency of competitive equilibria in insurance markets with asymmetric information," Journal of Public Economics, Elsevier, vol. 26(2), pages 207-219, March.
    18. 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.
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    Cited by:

    1. Zhang, Xinhua & Hueng, C. James & Lemke, Robert J., 2023. "A self-selection pricing mechanism for residential electricity: Measures of sustainability and equity to balance market mechanisms and government controls," Journal of Policy Modeling, Elsevier, vol. 45(6), pages 1167-1183.

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    More about this item

    Keywords

    Convexification; Ironing; Tax smoothing;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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