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Markovian Optimal Taxation

  • Salvador Ortigueira

In this paper we study optimal taxation in a dynamic game played by a sequence of governments, one for each time period, and a private sector composed of a continuum of households. We focus on the Markov-Perfect equilibrium of this game under two assumptions on the extent of government's intra-period commitment, which in turn define two notions of time consistency of the Markov-Perfect policy. Our results show that the extent of government's intra-period commitment has important quantitative implications for policies, welfare, and macroeconomic variables, and consequently that it must be explicitly stated as one of the givens of the economy, alongside preferences, markets and technology. We see this as an important result, since most of the previous literature on Markovian optimal taxation has assumed, either interchangeably or unnoticeably, different degrees of government's intra-period commitment.

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File URL: http://repec.org/sce2004/up.11709.1075059561.pdf
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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 10.

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Date of creation: 11 Aug 2004
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Handle: RePEc:sce:scecf4:10
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  1. Gerhard Sorger, 1996. "Markov Perfect Nash Equilibria in a Class of Resource Games," CIRANO Working Papers 96s-15, CIRANO.
  2. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  3. Christopher Phelan & Ennio Stacchetti, 1999. "Sequential equilibria in a Ramsey tax model," Staff Report 258, Federal Reserve Bank of Minneapolis.
  4. Turnovsky, Stephen J. & Brock, William A., 1980. "Time consistency and optimal government policies in perfect foresight equilibrium," Journal of Public Economics, Elsevier, vol. 13(2), pages 183-212, April.
  5. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June.
  6. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
  7. Cohen, Daniel & Michel, Philippe, 1988. "How Should Control Theory Be Used to Calculate a Time-Consistent Government Policy?," Review of Economic Studies, Wiley Blackwell, vol. 55(2), pages 263-74, April.
  8. Paul Klein & Per Krusell & José-Víctor Ríos-Rull, 2004. "Time-Consistent Public Expenditures," Levine's Bibliography 122247000000000652, UCLA Department of Economics.
  9. Dmitry V. Vedenov & Mario J. Miranda, 2001. "Numerical solution of dynamic oligopoly games with capital investment," Economic Theory, Springer, vol. 18(1), pages 237-261.
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