IDEAS home Printed from https://ideas.repec.org/p/kob/dpaper/dp2012-20.html
   My bibliography  Save this paper

Ergodic Chaos and Aggregate Stability: A Deterministic Discrete-Choice Model of Wealth Distribution Dynamics

Author

Listed:
  • Takashi Kamihigashi

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

Abstract

This paper studies wealth distribution dynamics in a small open economy with a continuum of consumers indexed by initial wealth. Each of them solves a discrete-choice problem whose optimal policy function exhibits ergodic chaos. We show that for any initial distribu- tion of wealth given by a density, the wealth distribution converges to a unique invariant distribution, and aggregate wealth converges to the corresponding value. Thus ergodic chaos leads to aggregate stability rather than instability. These results are illustrated with various nu- merical examples.

Suggested Citation

  • Takashi Kamihigashi, 2012. "Ergodic Chaos and Aggregate Stability: A Deterministic Discrete-Choice Model of Wealth Distribution Dynamics," Discussion Paper Series DP2012-20, Research Institute for Economics & Business Administration, Kobe University.
  • Handle: RePEc:kob:dpaper:dp2012-20
    as

    Download full text from publisher

    File URL: http://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2012-20.pdf
    File Function: First version, 2012
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kamihigashi, Takashi, 2012. "Discrete Choice And Complex Dynamics In Deterministic Optimization Problems," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 52-69, April.
    2. Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura, 2006. "Handbook on optimal growth (volume 1)," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101345, HAL.
    3. Takashi Kamihigashi, 2008. "On the principle of optimality for nonstationary deterministic dynamic programming," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 519-525.
    4. Eric BOND & IWASA Kazumichi & NISHIMURA Kazuo, 2012. "The Dynamic Heckscher-Ohlin Model: A diagrammatic analysis," Discussion papers 12008, Research Institute of Economy, Trade and Industry (RIETI).
    5. Takashi Kamihigashi, 2000. "The Policy Function of a Discrete-Choice Problem is a Random Number Generator," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 51-71, March.
    6. Eric W. Bond & Kazumichi Iwasa & Kazuo Nishimura, 2012. "The dynamic Heckscher–Ohlin model: A diagrammatic analysis," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 197-211, June.
    7. Takashi Kamihigashi, 2000. "Indivisible labor implies chaos," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 585-598.
    8. Nishimura, Kazuo & Sorger, Gerhard & Yano, Makoto, 1994. "Ergodic Chaos in Optimal Growth Models with Low Discount Rates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 705-717, August.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Aggregation; Ergodic chaos; Stability; Discrete choice; Wealth distribution; Frobenius-Perron operator;

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

    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:kob:dpaper:dp2012-20. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University). General contact details of provider: http://edirc.repec.org/data/rikobjp.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.