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Individual and Aggregate Constrained Efficient Intertemporal Wedges in Dynamic Mirrleesian Economies

Listed author(s):
  • Chen, Yunmin

    (Institute of Economics, Academia Sinica)

  • Chien, YiLi

    ()

    (Federal Reserve Bank of St. Louis)

  • Yang, C.C.

    (Institute of Economics, Academia Sinica)

Assuming a neoclassical production technology, this paper characterizes constrained efficient intertemporal wedges for the macro aggregate as well as the micro individual allocation of dynamic Mirrleesian economies. We first construct “Pareto-Negishi weights” from the multipliers on a sequence of temporary incentive constraints. For a fairly general stochastic process of idiosyncratic productivity shocks, we show that the evolution of the Pareto-Negishi weight associated with agents’ consumption is a nonnegative martingale. This powerful property enables us to deliver three contributions to the literature. First, we demonstrate that several celebrated constrained efficient intertemporal results of the individual allocation in the literature can be all attributed to originating from the nonnegative martingale property of consumption Pareto-Negishi weights. Second, we address optimal distortion for the aggregate allocation and establish that the constrained efficient intertemporal wedge for aggregate saving will be negative or positive, depending on whether the intertemporal elasticity of substitution is elastic or inelastic. This result is another application of the nonnegative martingale property. Third, we show how the nonnegative martingale property is modified in the presence of additional frictions and shed new light on incorporating different types of constraints documented in the literature.

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Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 2015-43.

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Length: 47 pages
Date of creation: 21 Dec 2015
Date of revision: 01 Apr 2016
Handle: RePEc:fip:fedlwp:2015-043
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  1. Emmanuel Farhi & Iván Werning, 2010. "Progressive Estate Taxation," The Quarterly Journal of Economics, Oxford University Press, vol. 125(2), pages 635-673.
  2. Espino, Emilio, 2005. "On Ramsey's conjecture: efficient allocations in the neoclassical growth model with private information," Journal of Economic Theory, Elsevier, vol. 121(2), pages 192-213, April.
  3. Narayana R. Kocherlakota, 2005. "Zero Expected Wealth Taxes: A Mirrlees Approach to Dynamic Optimal Taxation," Econometrica, Econometric Society, vol. 73(5), pages 1587-1621, September.
  4. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 569-587.
  5. Emmanuel Farhi & Iván Werning, 2007. "Inequality and Social Discounting," Journal of Political Economy, University of Chicago Press, vol. 115, pages 365-402.
  6. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
  7. Yili Chien & Harold Cole & Hanno Lustig, 2011. "A Multiplier Approach to Understanding the Macro Implications of Household Finance," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 199-234.
  8. Iván Werning, 2007. "Optimal Fiscal Policy with Redistribution," The Quarterly Journal of Economics, Oxford University Press, vol. 122(3), pages 925-967.
  9. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 427-453.
  10. Diamond, P. A. & Mirrlees, J. A., 1978. "A model of social insurance with variable retirement," Journal of Public Economics, Elsevier, vol. 10(3), pages 295-336, December.
  11. Orazio P. Attanasio & Guglielmo Weber, 2010. "Consumption and Saving: Models of Intertemporal Allocation and Their Implications for Public Policy," Journal of Economic Literature, American Economic Association, vol. 48(3), pages 693-751, September.
  12. Emmanuel Farhi, 2013. "Insurance and Taxation over the Life Cycle," Review of Economic Studies, Oxford University Press, vol. 80(2), pages 596-635.
  13. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
  14. Favilukis, Jack & Lin, Xiaoji, 2013. "Long run productivity risk and aggregate investment," Journal of Monetary Economics, Elsevier, vol. 60(6), pages 737-751.
  15. Stefania Albanesi & Roc Armenter, 2012. "Intertemporal Distortions in the Second Best," Review of Economic Studies, Oxford University Press, vol. 79(4), pages 1271-1307.
  16. Espino, Emilio & Kozlowski, Julian & Sánchez, Juan M., 2013. "Too big to cheat: Efficiency and Investment in Partnerships," Working Papers 2013-001, Federal Reserve Bank of St. Louis, revised 30 Sep 2017.
  17. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
  18. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
  19. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
  20. Michael P. Keane, 2011. "Labor Supply and Taxes: A Survey," Journal of Economic Literature, American Economic Association, vol. 49(4), pages 961-1075, December.
  21. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
  22. Ludwig Straub & Iván Werning, 2014. "Positive Long Run Capital Taxation: Chamley-Judd Revisited," NBER Working Papers 20441, National Bureau of Economic Research, Inc.
  23. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
  24. Marek Kapicka, 2013. "Efficient Allocations in Dynamic Private Information Economies with Persistent Shocks: A First-Order Approach," Review of Economic Studies, Oxford University Press, vol. 80(3), pages 1027-1054.
  25. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  26. Laffont, Jean-Jacques & Tirole, Jean, 1988. "The Dynamics of Incentive Contracts," Econometrica, Econometric Society, vol. 56(5), pages 1153-1175, September.
  27. Armenter, Roc & Mertens, Thomas M., 2013. "Fraud deterrence in dynamic Mirrleesian economies," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 139-151.
  28. Christopher Phelan, 2006. "Opportunity and Social Mobility," Review of Economic Studies, Oxford University Press, vol. 73(2), pages 487-504.
  29. Mele, Antonio, 2014. "Repeated moral hazard and recursive Lagrangeans," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 69-85.
  30. Annette Vissing-Jørgensen & Orazio P. Attanasio, 2003. "Stock-Market Participation, Intertemporal Substitution, and Risk-Aversion," American Economic Review, American Economic Association, vol. 93(2), pages 383-391, May.
  31. Yena Park, 2014. "Optimal Taxation in a Limited Commitment Economy," Review of Economic Studies, Oxford University Press, vol. 81(2), pages 884-918.
  32. Emmanuel Farhi & Iván Werning, 2012. "Capital Taxation: Quantitative Explorations of the Inverse Euler Equation," Journal of Political Economy, University of Chicago Press, vol. 120(3), pages 000.
  33. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, January.
  34. Attanasio, Orazio P & Weber, Guglielmo, 1989. "Intertemporal Substitution, Risk Aversion and the Euler Equation for Consumption," Economic Journal, Royal Economic Society, vol. 99(395), pages 59-73, Supplemen.
  35. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
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