IDEAS home Printed from https://ideas.repec.org/p/haf/huedwp/wp201403.html
   My bibliography  Save this paper

A Fixed-Point Theory of Price Level Determination in General Equilibrium

Author

Abstract

This paper offers a fi xed-point approach to the issue of price level determination in general equilibrium. It arrives at a solution method for rational expectations models with missing initial conditions for financial wealth. The paper emphasizes the calculation of an equilibrium initial valuation for government debt via a Krasnoselski-Mann-Bailey theorem. The analysis is performed from a global analysis perspective. Abstracting from policies that bring about zero eigen-values permits us to draw conclusions about global dynamics. This approach builds on the Hartman-Grobman Theorem and implies no loss of generality.

Suggested Citation

  • Gliksberg, Baruch, "undated". "A Fixed-Point Theory of Price Level Determination in General Equilibrium," Working Papers WP2014/3, University of Haifa, Department of Economics.
  • Handle: RePEc:haf:huedwp:wp201403
    as

    Download full text from publisher

    File URL: http://hevra.haifa.ac.il/econ/wp_files/wp201403.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Leeper, Eric M. & Plante, Michael & Traum, Nora, 2010. "Dynamics of fiscal financing in the United States," Journal of Econometrics, Elsevier, vol. 156(2), pages 304-321, June.
    2. Huixin Bi & Eric M. Leeper & Campbell Leith, 2013. "Uncertain Fiscal Consolidations," Economic Journal, Royal Economic Society, vol. 0, pages 31-63, February.
    3. Schmitt-Grohe, Stephanie & Uribe, Martin, 2007. "Optimal simple and implementable monetary and fiscal rules," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1702-1725, September.
    4. John H. Cochrane, 2011. "Determinacy and Identification with Taylor Rules," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 565-615.
    5. Marco Bassetto, 2002. "A Game-Theoretic View of the Fiscal Theory of the Price Level," Econometrica, Econometric Society, vol. 70(6), pages 2167-2195, November.
    6. Leeper, Eric M. & Yang, Shu-Chun Susan, 2008. "Dynamic scoring: Alternative financing schemes," Journal of Public Economics, Elsevier, vol. 92(1-2), pages 159-182, February.
    7. Thomas J. Sargent & Neil Wallace, 1984. "Some Unpleasant Monetarist Arithmetic," Palgrave Macmillan Books, in: Brian Griffiths & Geoffrey E. Wood (ed.), Monetarism in the United Kingdom, pages 15-41, Palgrave Macmillan.
    8. Davig, Troy & Leeper, Eric M. & Walker, Todd B., 2010. ""Unfunded liabilities" and uncertain fiscal financing," Journal of Monetary Economics, Elsevier, vol. 57(5), pages 600-619, July.
    9. Sims, Christopher A, 1994. "A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 381-399.
    10. Guo, Jang-Ting & Harrison, Sharon G., 2004. "Balanced-budget rules and macroeconomic (in)stability," Journal of Economic Theory, Elsevier, vol. 119(2), pages 357-363, December.
    11. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
    12. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    13. Cochrane, John H, 2001. "Long-Term Debt and Optimal Policy in the Fiscal Theory of the Price Level," Econometrica, Econometric Society, vol. 69(1), pages 69-116, January.
    14. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
    15. Buiter, Willem H, 1984. "Saddlepoint Problems in Continuous Time Rational Expectations Models: A General Method and Some Macroeconomic Examples," Econometrica, Econometric Society, vol. 52(3), pages 665-680, May.
    16. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    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. Gliksberg, Baruch, "undated". "Solving Boundary Value Problems in the Fiscal Theory of the Price Level," Working Papers WP2013/2, University of Haifa, Department of Economics.
    2. Gliksberg, Baruch, 2016. "Equilibria under monetary and fiscal policy interactions in a portfolio choice model," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 209-228.
    3. Gliksberg, Baruch, 2013. "Monetary policy and fiscal limits with no-default," European Economic Review, Elsevier, vol. 64(C), pages 285-304.
    4. Leeper, E.M. & Leith, C., 2016. "Understanding Inflation as a Joint Monetary–Fiscal Phenomenon," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2305-2415, Elsevier.
    5. Bianchi, Francesco & Melosi, Leonardo, 2019. "The dire effects of the lack of monetary and fiscal coordination," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 1-22.
    6. Eric M. Leeper, 2009. "Anchoring fiscal expectations," Reserve Bank of New Zealand Bulletin, Reserve Bank of New Zealand, vol. 72, pages 17-42, September.
    7. Canzoneri, Matthew & Cumby, Robert & Diba, Behzad, 2010. "The Interaction Between Monetary and Fiscal Policy," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 17, pages 935-999, Elsevier.
    8. Loisel, Olivier, 2021. "The implementation of stabilization policy," Theoretical Economics, Econometric Society, vol. 16(2), May.
    9. Francesco Bianchi & Leonardo Melosi, 2017. "Escaping the Great Recession," American Economic Review, American Economic Association, vol. 107(4), pages 1030-1058, April.
    10. Francesco Bianchi & Leonardo Melosi & Anna Rogantini Picco, 2022. "Who is Afraid of Eurobonds?," Working Paper Series WP 2022-43, Federal Reserve Bank of Chicago.
    11. Francesco Bianchi & Cosmin Ilut, 2017. "Monetary/Fiscal Policy Mix and Agent's Beliefs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 113-139, October.
    12. Reicher, Claire, 2014. "Systematic fiscal policy and macroeconomic performance: A critical overview of the literature," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 8, pages 1-37.
    13. Mikek, Peter, 2008. "Alternative monetary policies and fiscal regime in new EU members," Economic Systems, Elsevier, vol. 32(4), pages 335-353, December.
    14. Richter, Alexander W., 2015. "Finite lifetimes, long-term debt and the fiscal limit," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 180-203.
    15. Eric M. Leeper, 2009. "Anchors Away: How Fiscal Policy Can Undermine the Taylor Principle," NBER Working Papers 15514, National Bureau of Economic Research, Inc.
    16. Howard Kung & Gonzalo Morales & Alexandre Corhay, 2017. "Fiscal Discount Rates and Debt Maturity," 2017 Meeting Papers 840, Society for Economic Dynamics.
    17. Boris Chafwehé & Charles de Beauffort & Rigas Oikonomou, 2022. "Optimal Monetary Policy Rules in the Fiscal Theory of the Price Level," LIDAM Discussion Papers IRES 2022007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    18. Daniel, Betty C. & Shiamptanis, Christos, 2012. "Fiscal risk in a monetary union," European Economic Review, Elsevier, vol. 56(6), pages 1289-1309.
    19. Barthélemy, Jean & Mengus, Eric & Plantin, Guillaume, 2024. "The central bank, the treasury, or the market: Which one determines the price level?," Journal of Economic Theory, Elsevier, vol. 220(C).
    20. Davig, Troy & Leeper, Eric M. & Walker, Todd B., 2010. ""Unfunded liabilities" and uncertain fiscal financing," Journal of Monetary Economics, Elsevier, vol. 57(5), pages 600-619, July.

    More about this item

    Keywords

    Boundary Value Problems; Distorting Taxes; General Equilibrium; Global Determinacy; Krasnoselski-Mann-Bailey theorem;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
    • H30 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - General
    • H60 - Public Economics - - National Budget, Deficit, and Debt - - - General

    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:haf:huedwp:wp201403. 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: Anna Rubinchik (email available below). General contact details of provider: https://edirc.repec.org/data/dehaiil.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.