Atkinson-Stiglitz and Ramsey Reconciled: Pareto Efficient Taxation and Pricing under a Break-Even Constraint
AbstractThe 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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Bibliographic InfoPaper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 4248.
Date of creation: 2013
Date of revision:
Atkinson-Stiglitz theorem; Ramsey; Pareto efficient taxation; break-even constraint;
Other versions of this item:
- Cremer, Helmuth & Gahvari, Firouz, 2013. "Atkinson-Stiglitz and Ramsey reconciled: Pareto efficient taxation and pricing under a break-even constraint," TSE Working Papers 13-408, Toulouse School of Economics (TSE).
- Cremer, Helmuth & Gahvari, Firouz, 2013. "Atkinson-Stiglitz and Ramsey reconciled: Pareto efficient taxation and pricing under a break-even constraint," IDEI Working Papers 780, Institut d'Économie Industrielle (IDEI), Toulouse.
- H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
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- Cremer, Helmuth & Gahvari, Firouz & Ladoux, Norbert, 1998. "Externalities and optimal taxation," Journal of Public Economics, Elsevier, vol. 70(3), pages 343-364, December.
- 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.
- 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.
- 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.
- Diamond, P. A., 1975.
"A many-person Ramsey tax rule,"
Journal of Public Economics,
Elsevier, vol. 4(4), pages 335-342, November.
- Sandmo, Agnar, 1976. "Optimal taxation : An introduction to the literature," Journal of Public Economics, Elsevier, vol. 6(1-2), pages 37-54.
- Cremer, H. & Gahvari, F., 1996.
"On Optimal Taxation of Housing,"
96.417, Toulouse - GREMAQ.
- Ware, Roger & Winter, Ralph A., 1986. "Public pricing under imperfect competition," International Journal of Industrial Organization, Elsevier, vol. 4(1), pages 87-97, March.
- Christiansen, Vidar, 1984. "Which commodity taxes should supplement the income tax?," Journal of Public Economics, Elsevier, vol. 24(2), pages 195-220, July.
- Laffont, Jean-Jacques & Tirole, Jean, 1990. "Optimal Bypass and Cream Skimming," American Economic Review, American Economic Association, vol. 80(5), pages 1042-61, December.
- 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.
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