IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpma/0212004.html
   My bibliography  Save this paper

On Time Inconsistency: A Technical Issue in Stackelberg Differential Games

Author

Listed:
  • Danyang Xie

    (Hong Kong University of Science & Technology)

Abstract

Stackelberg differential games are useful settings in which optimal government policies can be studied. This paper argues that the analysis of these games involves a key technical issue. In particular, we question the necessity for optimality of one boundary condition invoked in existing literature. The issue is of key interest because the boundary condition is largely responsible for the time inconsistency results previously obtained. We show that the boundary condition is not necessary in some cases. As a result, our finding undermines the credibility of the existing conclusions. Forthcoming 1997: Journal of Economic Theory.

Suggested Citation

  • Danyang Xie, 2002. "On Time Inconsistency: A Technical Issue in Stackelberg Differential Games," Macroeconomics 0212004, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpma:0212004
    Note: Type of Document - PDF; prepared on PC; to print on HP; pages: 30 ; figures: none
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/mac/papers/0212/0212004.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. K. Shell, 1968. "Applications of Pontryagin's Maximum Principle of Economics," Working papers 16, Massachusetts Institute of Technology (MIT), Department of Economics.
    2. Persson, Mats & Persson, Torsten & Svensson, Lars E O, 1987. "Time Consistency of Fiscal and Monetary Policy," Econometrica, Econometric Society, vol. 55(6), pages 1419-1431, November.
    3. Calvo, Guillermo A, 1978. "On the Time Consistency of Optimal Policy in a Monetary Economy," Econometrica, Econometric Society, vol. 46(6), pages 1411-1428, November.
    4. Benhabib, Jess & Rustichini, Aldo, 1997. "Optimal Taxes without Commitment," Journal of Economic Theory, Elsevier, vol. 77(2), pages 231-259, December.
    5. Benveniste, L. M. & Scheinkman, J. A., 1982. "Duality theory for dynamic optimization models of economics: The continuous time case," Journal of Economic Theory, Elsevier, vol. 27(1), pages 1-19, June.
    6. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
    7. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    8. Xie, Danyang, 1991. "Increasing Returns and Increasing Rates of Growth," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 429-435, April.
    9. Martin L. Weitzman, 1973. "Duality Theory for Infinite Horizon Convex Models," Management Science, INFORMS, vol. 19(7), pages 783-789, March.
    10. Calvo, Guillermo A & Obstfeld, Maurice, 1990. "Time Consistency of Fiscal and Monetary Policy: A Comment," Econometrica, Econometric Society, vol. 58(5), pages 1245-1247, September.
    11. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    12. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-417, June.
    13. 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.
    14. Calvo, Guillermo A & Guidotti, Pablo E, 1992. "Optimal Maturity of Nominal Government Debt: An Infinite-Horizon Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(4), pages 895-919, November.
    15. Chamley, Christophe, 1985. "Efficient Taxation in a Stylized Model of Intertemporal General Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 451-468, June.
    16. 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. Benhabib, Jess & Velasco, Andres, 1996. "On the optimal and best sustainable taxes in an open economy," European Economic Review, Elsevier, vol. 40(1), pages 135-154, January.
    2. Maurice Obstfeld, 1989. "Dynamic Seigniorage Theory: An Exploration," NBER Working Papers 2869, National Bureau of Economic Research, Inc.
    3. Lansing, Kevin J., 1999. "Optimal redistributive capital taxation in a neoclassical growth model," Journal of Public Economics, Elsevier, vol. 73(3), pages 423-453, September.
    4. Persson, Torsten & Tabellini, Guido, 1999. "Political economics and macroeconomic policy," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 22, pages 1397-1482, Elsevier.
    5. Pi‐Han Tsai & Chien‐Yu Huang & Tsun‐Feng Chiang, 2020. "Fiscal Expenditure And Industrial Land Price In China: Theory And Evidence," Contemporary Economic Policy, Western Economic Association International, vol. 38(4), pages 593-606, October.
    6. R. Cellini & L. Lambertini, 2003. "On the Dynamic Consistency of Optimal Monetary Policy," Working Papers 463, Dipartimento Scienze Economiche, Universita' di Bologna.
    7. L. Lambertini, 2002. "Stackelberg Leadership in a Dynamic Duopoly with Capital Accumulation," Working Papers 442, Dipartimento Scienze Economiche, Universita' di Bologna.
    8. Liu, X, 2010. "Is Optimal Monetary and Fiscal Policy in a Small Open Economy Time Consistent?," MPRA Paper 28781, University Library of Munich, Germany.
    9. Philip Arestis & Alexander Mihailov, 2011. "Classifying Monetary Economics: Fields And Methods From Past To Future," Journal of Economic Surveys, Wiley Blackwell, vol. 25(4), pages 769-800, September.
    10. Beetsma, R. & Bovenberg, A.L., 1995. "The role of public debt in the game of double chicken," Research Memorandum 025, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    11. Liu, Xuan, 2013. "Time consistency of optimal monetary and fiscal policy in a small open economy," Journal of International Money and Finance, Elsevier, vol. 36(C), pages 47-67.
    12. Chari V. V. & Kehoe Patrick J., 1993. "Sustainable Plans and Debt," Journal of Economic Theory, Elsevier, vol. 61(2), pages 230-261, December.
    13. Zhu, Xiaodong, 1995. "Endogenous capital utilization, investor's effort, and optimal fiscal policy," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 655-677, December.
    14. Mats Persson & Torsten Persson & Lars E. O. Svensson, 1998. "Debt, Cash Flow and Inflation Incentives: A Swedish Example," International Economic Association Series, in: Guillermo Calvo & Mervyn King (ed.), The Debt Burden and its Consequences for Monetary Policy, chapter 2, pages 28-66, Palgrave Macmillan.
    15. Koskela Erkki & Thadden Leopold von, 2008. "Optimal Factor Taxation under Wage Bargaining: A Dynamic Perspective," German Economic Review, De Gruyter, vol. 9(2), pages 135-159, May.
    16. Mats Persson & Torsten Persson & Lars E. O. Svensson, 2006. "Time Consistency of Fiscal and Monetary Policy: A Solution," Econometrica, Econometric Society, vol. 74(1), pages 193-212, January.
    17. Roque Fernández, 1989. "Institucionalidad Económica y Estabilidad Política," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 26(78), pages 169-176.
    18. Begoa Domnguez Manzano, 2000. "Time Consistency Of Optimal Fiscal Policy In An Endogenous Growth Model," Computing in Economics and Finance 2000 69, Society for Computational Economics.
    19. Oscar Mauricio VALENCIA ARANA, 2006. "Imperfect Government Insurance and Treasury Securities Markets," Archivos de Economía 2814, Departamento Nacional de Planeación.
    20. V. V. Chari & Patrick J. Kehoe, 1993. "Sustainable Plans and Mutual Default," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 175-195.

    More about this item

    Keywords

    Time Inconsistency; Stackelberg Differential Game;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:wpa:wuwpma:0212004. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.