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The Existence of Equilibrium Paths in an AK-model with Endogenous Time Preferences and Borrowing Constraints

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  • Kirill Borissov

Abstract

An AK-model with borrowing constraints and endogenous time preferences is considered. It is assumed that the discount factor of a household is a continuous function of its relative income. We propose a definition of an equilibrium path and prove its existence.

Suggested Citation

  • Kirill Borissov, 2013. "The Existence of Equilibrium Paths in an AK-model with Endogenous Time Preferences and Borrowing Constraints," EUSP Department of Economics Working Paper Series Ec-01/13, European University at St. Petersburg, Department of Economics.
  • Handle: RePEc:eus:wpaper:ec0113
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    References listed on IDEAS

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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
    3. Strulik, Holger, 2012. "Patience and prosperity," Journal of Economic Theory, Elsevier, vol. 147(1), pages 336-352.
    4. Erol, Selman & Le Van, Cuong & Saglam, Cagri, 2011. "Existence, optimality and dynamics of equilibria with endogenous time preference," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 170-179, March.
    5. repec:hal:journl:halshs-00639731 is not listed on IDEAS
    6. Jean-Pierre Drugeon, 1998. "A model with endogenously determined cycles, discounting and growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 349-369.
    7. Ken-Ichi Hirose & Shinsuke Ikeda, 2008. "On Decreasing Marginal Impatience," The Japanese Economic Review, Japanese Economic Association, vol. 59(3), pages 259-274.
    8. Fwu-Ranq Chang, 2009. "Optimal growth and impatience: A phase diagram analysis," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(2), pages 245-255.
    9. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    10. Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2671-2692, December.
    11. Borissov, Kirill, 2002. "Indeterminate steady-state equilibria in a one-sector model," Economics Letters, Elsevier, vol. 77(1), pages 125-130, September.
    12. Kirill Borissov & Stéphane Lambrecht, 2009. "Growth and distribution in an AK-model with endogenous impatience," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 93-112, April.
    13. Chen, Been-Lon, 2003. "An inverted-U relationship between inequality and long-run growth," Economics Letters, Elsevier, vol. 78(2), pages 205-212, February.
    14. Epstein, Larry G & Hynes, J Allan, 1983. "The Rate of Time Preference and Dynamic Economic Analysis," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 611-635, August.
    15. Michael Stern, 2006. "Endogenous time preference and optimal growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 49-70, September.
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    Cited by:

    1. Borissov, Kirill, 2013. "Growth and distribution in a model with endogenous time preferences and borrowing constraints," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 117-128.

    More about this item

    Keywords

    AK-model; endogenous time preferences;

    JEL classification:

    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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