The Inconsistency Puzzle Resolved: an Omitted Variable

Arefiev, Nikolay (2008): The Inconsistency Puzzle Resolved: an Omitted Variable.

Abstract

The contemporary version of the dynamic Ramsey problem omits expectations of a household's initial lump-sum wealth taxation due to policy revision; therefore, the attainable resource allocation set in this problem is ill-defined. This omission leads to misleading conclusions about the optimal policy in the short run and, in particular, that the Ramsey policy is dynamically inconsistent. The effect of introducing the expectations into the analysis of dynamic inconsistency is similar to that of introducing expected inflation into the Phillips curve: we show that only an unexpected policy surprise affects the attainable resource allocation set and the optimal policy. In contrast to Chamley (1986), we show that intensive capital income taxation at the beginning of an optimal policy does not imply a lump-sum taxation of household wealth and cannot reduce the excess tax burden. We also demonstrate that the Ramsey policy is dynamically consistent even without commitment. We resolve the Ramsey problem and compare our results to those of Chamley on optimal capital income taxation.

• Item Type: MPRA Paper
• Language: English
• Keywords: Inconsistency, Equilibrium policy, Optimal taxation
• Subjects: E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E62 - Fiscal Policy; H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H21 - Efficiency ; Optimal Taxation; E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E61 - Policy Objectives ; Policy Designs and Consistency ; Policy Coordination

References

Atkinson, A.B. and J.E. Stiglitz (1980). Lectures on Public Economics. McGrow-Hill, Maidenhead, UK.

Chamley, C. (1986). Optimal taxation of capital income in general equilibrium with infinite lives. Econometrica 54 (3): 607-622.

Chari, V.V., P. J. Kehoe (1990). Sustainable Plans. The Journal of Political Economy 98(4): 783-802

Chari, V.V., P. J. Kehoe (1999). Optimal fiscal and monetary policy. In: J. B. Taylor, M. Woodford (ed.), Handbook of Macroeconomics, volume 1, chapter 26, pages 1671-1745 Elsevier.

Chari, VV., L.J. Christiano, P.J. Kehoe (1996) Optimality of the Friedman rule in economies with distorting taxes. Journal of Monetary Economics 37: 203-223.

Diamond, P. A. and J. A. Mirrlees (1971). Optimal taxation and public good production I: production efficiency, and II: Tax rules. American Economic Review 61: 8-27 and 261-278.

Dixit, A., L. Lambertini (2003). Interaction of commitment and discretion in monetary and fiscal policies. American Economic Review 93(5): 1522-1542.

Fisher, S. (1980). Dynamic Inconsistency, Cooperation, and the Benevolent Dissembling Government. Journal of Economic Dynamics and Control 2: 93-107.

Judd, K. (1985). Redistributive taxation in a simple perfect foresight model. Journal of Public Economics 28: 59-83.

Judd, K. (1999). Optimal taxation and spending in general competitive growth models. Journal of Public Economics 71: 1-26.

Kydland, F. and E. Prescott (1977). Rules Rather than Discretion: The Inconsistency of Optimal Plans. Journal of Political Economy 85: 473-491.

Lucas, R.E. and N.L. Stockey (1983). Optimal Fiscal and Monetary Policy in an Economy Without Capital. Jounral of Monetary Economics, 12: 55-93.

Ramsey, F. (1927). A contribution to the theory of taxation. Economic Journal: 47-61.

Woodford, M. (2003). Interest and Prices: Foundations of a Theory of Monetary Policy. Princeton University Press.