IDEAS home Printed from https://ideas.repec.org/p/vie/viennp/vie0610.html
   My bibliography  Save this paper

Markov Perfect Equilibria in the Ramsey Model

Author

Abstract

We study the Ramsey (1928) model under the assumption that households act strategically. We compute the Markov perfect equilibrium for this model and compare it to the original, competitive equilibrium and to a strategic open-loop equilibrium proposed by Sorger (2002, 2005b). We show that, if households are identical, strategic behavior has no influence on the long run evolution of the economy. If households are heterogeneous, however, the Markov perfect equilibrium has properties that differ from those of the competitive and the open-loop equilibrium.

Suggested Citation

  • Paul Pichler & Gerhard Sorger, 2006. "Markov Perfect Equilibria in the Ramsey Model," Vienna Economics Papers vie0610, University of Vienna, Department of Economics.
    • Handle: RePEc:vie:viennp:vie0610
    as

    Download full text from publisher

    File URL: https://papersecon.univie.ac.at/RePEc/vie/viennp/vie0610.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sorger, Gerhard, 2002. "On the Long-Run Distribution of Capital in the Ramsey Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 226-243, July.
    2. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    3. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    4. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    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. Paul Pichler & Gerhard Sorger, 2006. "Markov Perfect Equilibria in the Ramsey Model," Vienna Economics Papers 0610, University of Vienna, Department of Economics.
    2. Pichler, Paul & Sorger, Gerhard, 2009. "Wealth distribution and aggregate time-preference: Markov-perfect equilibria in a Ramsey economy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 1-14, January.
    3. Andreas Lanz & Gregor Reich & Ole Wilms, 2022. "Adaptive grids for the estimation of dynamic models," Quantitative Marketing and Economics (QME), Springer, vol. 20(2), pages 179-238, June.
    4. Richard M. H. Suen, 2014. "Time Preference And The Distributions Of Wealth And Income," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 364-381, January.
    5. S. Sirakaya & Stephen Turnovsky & M. Alemdar, 2006. "Feedback Approximation of the Stochastic Growth Model by Genetic Neural Networks," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 185-206, May.
    6. Heer Burkhard & Maußner Alfred, 2011. "Value Function Iteration as a Solution Method for the Ramsey Model," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 231(4), pages 494-515, August.
    7. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Post-Print halshs-00612131, HAL.
    8. Letendre, Marc-Andre & Smith, Gregor W., 2001. "Precautionary saving and portfolio allocation: DP by GMM," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 197-215, August.
    9. Borissov, Kirill & Surkov, Alexander, 2010. "Endogenous growth in a model with heterogeneous agents and voting on public goods," MPRA Paper 27517, University Library of Munich, Germany.
    10. Nishimura, Kazuo & Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2016. "Public Spending As A Source Of Endogenous Business Cycles In A Ramsey Model With Many Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 20(2), pages 504-524, March.
    11. Mario Miranda, 2005. "Teaching Computational Economics in an Applied Economics Program," Computational Economics, Springer;Society for Computational Economics, vol. 25(3), pages 229-254, June.
    12. Lilia Maliar & Serguei Maliar & John B. Taylor & Inna Tsener, 2020. "A tractable framework for analyzing a class of nonstationary Markov models," Quantitative Economics, Econometric Society, vol. 11(4), pages 1289-1323, November.
    13. Salvador Ortigueira & Joana Pereira, 2016. "Lack of Commitment, Retroactive Tax Changes, and Macroeconomic Instability," Working Papers WP2016-05, University of Miami, Department of Economics.
    14. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    15. repec:mea:meawpa:13274 is not listed on IDEAS
    16. Pichler, Paul, 2011. "Solving the multi-country Real Business Cycle model using a monomial rule Galerkin method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 240-251, February.
    17. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, December.
    18. Mino, Kazuo & Nakamoto, Yasuhiro, 2012. "Consumption externalities and equilibrium dynamics with heterogeneous agents," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 225-233.
    19. Kenneth L. Judd & Lilia Maliar & Serguei Maliar & Inna Tsener, 2017. "How to solve dynamic stochastic models computing expectations just once," Quantitative Economics, Econometric Society, vol. 8(3), pages 851-893, November.
    20. Tessa Bold, 2009. "Implications of Endogenous Group Formation for Efficient Risk‐Sharing," Economic Journal, Royal Economic Society, vol. 119(536), pages 562-591, March.
    21. Faia, Ester & Iliopulos, Eleni, 2011. "Financial openness, financial frictions and optimal monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1976-1996.

    More about this item

    Keywords

    Ramsey model; strategic saving; Markov perfect equilibrium;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    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:vie:viennp:vie0610. 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: Paper Administrator (email available below). General contact details of provider: https://econ.univie.ac.at/ .

    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.