Atkinson-Stiglitz and Ramsey reconciled: Pareto efficient taxation and pricing under a break-even constraint
The Ramsey tax problem examines the design of linear commodity taxes to collect a given tax revenue. This approach has been seriously challenged by Atkinson and Stiglitz (1976) who show that (under some conditions) an optimal income tax makes commodity taxes redundant. In the meantime, the Ramsey setting has had a second life as model of regulatory pricing. Boiteux (1956) studies linear pricing of a regulated multi-product monopoly that has to cover some "fixed cost" through markups on the different products (equivalent to taxes). While the scope of regulation has declined, Ramsey-Boiteux pricing continues to play an important role. This paper examines if the optimal tax and regulatory pricing approaches to Ramsey pricing can be reconciled. We incorporate the two objectives of revenue raising for financing the government's expenditures and a regulated firm's fixed cost into a single framework. The first major lesson is that the existence of a break-even constraint not only requires taxation of goods produced by the regulated firm, but also the taxation of other goods. Next, we consider the cases of independent Hicksian and Marshallian demand curves. In both the Ramsey solution imply so-called inverse elasticity rules. In the separable Hicksian demand case, the private goods (not included in the break-even constraint) continue to go untaxed as in the Atkinson and Stiglitz setting. In the case where Marshallian demands are independent, the effect of the break-even constraint spills over to the other goods which no longer go untaxed. We continue to get inverse elasticity rules; however, there is no covariance (or similar) term that captures redistributive considerations. Finally, we study the most celebrated general result obtained in the Ramsey model; namely, the (un)equal proportional reduction in compensated demands property. We find that the redistributive considerations are once again replaced by tax revenue terms.
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- CREMER, Helmuth & PESTIEAU , Pierre & ROCHET, Jean-Charles, .
"Direct versus indirect taxation: the design of the tax structure revisited,"
CORE Discussion Papers RP
1528, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Cremer, Helmuth & Pestieau, Pierre & Rochet, Jean-Charles, 2001. "Direct versus Indirect Taxation: The Design of the Tax Structure Revisted," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 781-99, August.
- CREMER, Helmuth & PESTIEAU, Pierre & ROCHET, Jean-Charles, 1999. "Direct versus indirect taxation: the design of the tax structure revisited," CORE Discussion Papers 1999010, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Cremer, Helmuth & Gahvari, Firouz, 2002.
" Nonlinear Pricing, Redistribution, and Optimal Tax Policy,"
Journal of Public Economic Theory,
Association for Public Economic Theory, vol. 4(2), pages 139-61.
- Cremer, H. & Gahvari, F., 1996. "Nonlinear Pricing, Redistribution and Optimal Tax Policy," Papers 95.393, Toulouse - GREMAQ.
- Sandmo, Agnar, 1976. "Optimal taxation : An introduction to the literature," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 37-54.
- Cremer, Helmuth & Gahvari, Firouz, 1998.
"On Optimal Taxation of Housing,"
Journal of Urban Economics,
Elsevier, vol. 43(3), pages 315-335, May.
- Cremer, Helmuth & Gahvari, Firouz & Ladoux, Norbert, 1998. "Externalities and optimal taxation," Journal of Public Economics, Elsevier, vol. 70(3), pages 343-364, December.
- Laffont, Jean-Jacques & Tirole, Jean, 1990. "Optimal Bypass and Cream Skimming," American Economic Review, American Economic Association, vol. 80(5), pages 1042-61, December.
- Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production: I--Production Efficiency," American Economic Review, American Economic Association, vol. 61(1), pages 8-27, March.
- P. A. Diamond, 1975.
"A Many-Person Ramsey Tax Rule,"
146, Massachusetts Institute of Technology (MIT), Department of Economics.
- Cremer, Helmuth & Gahvari, Firouz, 1995. "Uncertainty, Optimal Taxation and the Direct versus Indirect Tax Controversy," Economic Journal, Royal Economic Society, vol. 105(432), pages 1165-79, September.
- Ware, Roger & Winter, Ralph A., 1986. "Public pricing under imperfect competition," International Journal of Industrial Organization, Elsevier, vol. 4(1), pages 87-97, March.
- Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production II: Tax Rules," American Economic Review, American Economic Association, vol. 61(3), pages 261-78, June.
- Baumol, William J & Bradford, David F, 1970. "Optimal Departures from Marginal Cost Pricing," American Economic Review, American Economic Association, vol. 60(3), pages 265-83, June.
- Atkinson, A. B. & Stiglitz, J. E., 1976. "The design of tax structure: Direct versus indirect taxation," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 55-75.
- Christiansen, Vidar, 1984. "Which commodity taxes should supplement the income tax?," Journal of Public Economics, Elsevier, vol. 24(2), pages 195-220, July.
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