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Bunching properties of optimal nonlinear income taxes

Abstract

Bunching is said to occur if individuals with different characteristics receive the same commodity bundle. This article analyzes bunching in a finite population optimal nonlinear income tax problem. Several easily-computed sufficient conditions for the optimality of particular bunching patterns as well as a simple necessary and sufficient condition for the optimal allocation to exhibit no bunching are presented. In addition, a characterization of the optimal allocation is provided. Is is shown that the bunching pattern obtained by S. Lollivier and J.-C. Rochet is a consequence of a convexity condition which is automatically satisfied in their continuum model but which is not generally satisfied in a finite model.

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References

  1. 1.

    Baron DP, Myerson RB (1982) Regulating a monopolist with unknown costs. Econometrica 50:911–930

  2. 2.

    Cooper R (1984) On allocative distortions in problems of self-selection. Rand J Econ 15:568–577

  3. 3.

    Guesnerie R, Laffont J-J (1984) A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm. J Public Econ 25:329–369

  4. 4.

    Guesnerie R, Seade J (1982) Nonlinear pricing in a finite economy. J Public Econ 17:157–179

  5. 5.

    Lockwood B (1985) Non-linear pricing and the exclusion of consumers. Econ Lett 18:313–316

  6. 6.

    Lollivier S, Rochet J-C (1983) Bunching and second-order conditions: A note on optimal tax theory. J Econ Theory 31:392–400

  7. 7.

    Maskin E, Riley J (1984) Monopoly with incomplete information. Rand J Econ 15:171–196

  8. 8.

    Mirrlees JA (1971) An exploration in the theory of optimum income taxation. Rev Econ Studies 38:175–208

  9. 9.

    Mussa M, Rosen S (1978) Monopoly and product quality. J Econ Theory 18:301–317

  10. 10.

    Myerson RB (1981) Optimal auction design. Math Oper Res 6:58–73

  11. 11.

    Seade JK (1977) On the shape of optimal tax schedules. J Public Econ 7:203–235

  12. 12.

    Seade J (1980) Optimal non-linear policies for non-utilitarian motives. In: Collard D, Lecomber R, Slater M (eds) Income distribution: The limits to redistribution. Scientechnica, Bristol, pp 53–68

  13. 13.

    Weymark JA (1986) A reduced-form optimal nonlinear income tax problem. J Public Econ (in press)

  14. 14.

    Weymark JA (1985) Comparative static properties of optimal nonlinear income taxes. Discussion Paper No. 85-02, Department of Economics, University of British Columbia (revised 1986)

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Additional information

Discussions with Steven Matthews and Dilip Mookherjee and the comments of two anonymous referees have been extremely helpful. The hospitality of the Center for Mathematical Studies in Economics and Management Science at Northwestern University and the research support of the Social Sciences and Humanities Research Council of Canada are gratefully acknowledged.

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Weymark, J.A. Bunching properties of optimal nonlinear income taxes. Soc Choice Welfare 3, 213–232 (1986). https://doi.org/10.1007/BF00433536

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Keywords

  • Economic Theory
  • Continuum Model
  • Optimal Allocation
  • Finite Population
  • Convexity Condition