IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/40182.html
   My bibliography  Save this paper

Time as an Endogenous Random Variable Smoothly Embedded into Preference Manifold

Author

Listed:
  • Dai, Darong

Abstract

A general equilibrium model has been constructed in a stochastic endogenous growth economy driven by an Ito-Levy diffusion process. The minimum time to “economic maturity” for an underdeveloped economy has been computed both in the preference manifold of the modified Ramsey fashion and in that of the modified Radner fashion with its support, i.e., fiscal policies and savings strategy, endogenously determined. Furthermore, the effects of different information structures to the endogenous time have been thoroughly investigated, and local sensitivity analyses of optimal consumption per capita with respect to the initial level of capital stock per capita have been smoothly incorporated into the current macroeconomic model.

Suggested Citation

  • Dai, Darong, 2011. "Time as an Endogenous Random Variable Smoothly Embedded into Preference Manifold," MPRA Paper 40182, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:40182
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/40182/1/MPRA_paper_40182.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gantz, Donald T, 1980. "A Strong Turnpike Theorem for a Nonstationary von Neumann-Gale Production Model," Econometrica, Econometric Society, vol. 48(7), pages 1777-1790, November.
    2. Kenneth L. Judd, 1997. "The Optimal Tax Rate for Capital Income is Negative," NBER Working Papers 6004, National Bureau of Economic Research, Inc.
    3. David Gale, 1967. "On Optimal Development in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(1), pages 1-18.
    4. Philippe Aghion, 2004. "Growth and Development: A Schumpeterian Approach," Annals of Economics and Finance, Society for AEF, vol. 5(1), pages 1-25, May.
    5. Kenneth L. Judd, 2002. "Capital-Income Taxation with Imperfect Competition," American Economic Review, American Economic Association, vol. 92(2), pages 417-421, May.
    6. Ken-ichi Inada, 1964. "Some Structural Characteristics of Turnpike Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(1), pages 43-58.
    7. Liutang Gong & Heng-fu Zou, 2002. "Effects of Growth and Volatility in Public Expenditures on Economic Growth: Theory and Evidence," Annals of Economics and Finance, Society for AEF, vol. 3(2), pages 379-406, November.
    8. Fernandez, Raquel & Rogerson, Richard, 1998. "Public Education and Income Distribution: A Dynamic Quantitative Evaluation of Education-Finance Reform," American Economic Review, American Economic Association, vol. 88(4), pages 813-833, September.
    9. L. Alili & A. E. Kyprianou, 2005. "Some remarks on first passage of Levy processes, the American put and pasting principles," Papers math/0508487, arXiv.org.
    10. Coles, Jeffrey Link, 1985. "Equilibrium Turnpike Theory with Constant Returns to Scale and Possible Heterogeneous Discount Factors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 671-679, October.
    11. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    12. Hiroshi Atsumi, 1965. "Neoclassical Growth and the Efficient Program of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 127-136.
    13. 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 473-491, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dai, Darong, 2011. "Modeling the minimum time needed to economic maturity," MPRA Paper 40583, University Library of Munich, Germany, revised 08 Aug 2012.
    2. Dai, Darong, 2011. "Modeling the minimum time needed to economic maturity," MPRA Paper 40386, University Library of Munich, Germany, revised 31 Jul 2012.
    3. Jensen, Martin Kaae, 2012. "Global stability and the “turnpike” in optimal unbounded growth models," Journal of Economic Theory, Elsevier, vol. 147(2), pages 802-832.
    4. Dai, Darong, 2011. "Stochastic Versions of Turnpike Theorems in the Sense of Uniform Topology," MPRA Paper 40216, University Library of Munich, Germany.
    5. Darong Dai, 2012. "Stochastic Versions of Turnpike Theorems in the Sense of Uniform Topology," Annals of Economics and Finance, Society for AEF, vol. 13(2), pages 381-423, November.
    6. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    7. J. Subrick & Andrew Young, 2010. "Nobelity and novelty: Finn Kydland and Edward Prescott’s contributions viewed from Vienna," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(1), pages 35-53, March.
    8. Goodhart, Charles, 1989. "The Conduct of Monetary Policy," Economic Journal, Royal Economic Society, vol. 99(396), pages 293-346, June.
    9. Jiang Wei, 2019. "Optimal taxation under equilibrium unemployment and economic profits," The B.E. Journal of Macroeconomics, De Gruyter, vol. 19(1), pages 1-21, January.
    10. Akhand Akhtar Hossain, 2009. "Central Banking and Monetary Policy in the Asia-Pacific," Books, Edward Elgar Publishing, number 12777.
    11. Cerda, Rodrigo A. & Saravia, Diego, 2013. "Optimal taxation with heterogeneous firms and informal sector," Journal of Macroeconomics, Elsevier, vol. 35(C), pages 39-61.
    12. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.
    13. Bullard, James & Waller, Christopher J, 2004. "Central Bank Design in General Equilibrium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(1), pages 95-113, February.
    14. Javier Coto-Martínez & Carlos Garriga & Fernando Sánchez-Losada, 2007. "Optimal Taxation with Imperfect Competition and Aggregate Returns to Specialization," Journal of the European Economic Association, MIT Press, vol. 5(6), pages 1269-1299, December.
    15. M. Ali Khan & Tapan Mitra, 2005. "On choice of technique in the Robinson–Solow–Srinivasan model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(2), pages 83-110, June.
    16. Tang Jenn-Hong, 2020. "Ramsey income taxation in a small open economy with trade in capital goods," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(1), pages 1-48, January.
    17. Scheide, Joachim, 1989. "On real and monetary explanations of business cycles in West Germany," Kiel Working Papers 356, Kiel Institute for the World Economy (IfW Kiel).
    18. Jean-Bernard Chatelain & Kirsten Ralf, 2020. "How macroeconomists lost control of stabilization policy: towards dark ages," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 27(6), pages 938-982, November.
    19. Luo, Yulei & Young, Eric, 2013. "Rational Inattention in Macroeconomics: A Survey," MPRA Paper 54267, University Library of Munich, Germany.
    20. Trunin, Pavel (Трунин, Павел) & Bozhechkova, Alexandra (Божечкова, Александра) & Goryunov, Eugene (Горюнов, Евгений) & Petrova, Diana, 2017. "Analysis of Approaches to Accounting of the Information Effects of Monetary Policy [Анализ Подходов К Учету Информационных Эффектов Денежно-Кредитной Политики]," Working Papers 031723, Russian Presidential Academy of National Economy and Public Administration.

    More about this item

    Keywords

    Stochastic endogenous growth; Minimum time to “economic maturity”; Optimal taxation policies; Endogenous savings rate; Preference manifold; Information structure; Local sensitivity analyses; Optimal stopping time; Levy diffusion;
    All these keywords.

    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:40182. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.