IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Growth and distribution in a model with endogenous time preferences and borrowing constraints

  • Borissov, Kirill

This paper proposes an AK-model with endogenous time preferences and borrowing constraints. It is assumed that the subjective discount factor of a household is an increasing function of its relative income. First, we describe the structure of balanced-growth equilibrium paths, on which the population splits into two groups: the rich and the poor. Secondly, we study sliding equilibrium paths, show that they become balanced from some time onwards and that eventually all the capital is owned by those households that were the richest at the initial state. It follows that the long-run rate of growth depends on the initial distribution of wealth and income.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.sciencedirect.com/science/article/pii/S0165489613000310
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 66 (2013)
Issue (Month): 2 ()
Pages: 117-128

as
in new window

Handle: RePEc:eee:matsoc:v:66:y:2013:i:2:p:117-128
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505565

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Becker, Robert A, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, MIT Press, vol. 95(2), pages 375-82, September.
  2. Bewley, Truman, 1982. "An integration of equilibrium theory and turnpike theory," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 233-267, September.
  3. John Hey & Gianna Lotito, 2009. "Naive, resolute or sophisticated? A study of dynamic decision making," Journal of Risk and Uncertainty, Springer, vol. 38(1), pages 1-25, February.
  4. repec:hal:journl:halshs-00639731 is not listed on IDEAS
  5. Ingmar, SCHUMACHER, 2006. "On optimality, endogeneous discounting and wealth accumulation," Discussion Papers (ECON - Département des Sciences Economiques) 2006058, Université catholique de Louvain, Département des Sciences Economiques.
  6. 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.
  7. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
  8. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
  9. BORISSOV, Kirill & LAMBRECHT, Stéphane, . "Growth and distribution in an AK-model with endogenous impatience," CORE Discussion Papers RP -2134, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Schlicht, Ekkehart, 1975. "A Neoclassical Theory of Wealth Distribution," Munich Reprints in Economics 3386, University of Munich, Department of Economics.
  11. Alberto Alesina & Roberto Perotti, 1993. "Income Distribution, Political Instability, and Investment," NBER Working Papers 4486, National Bureau of Economic Research, Inc.
  12. Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
  13. 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.
  14. Thaler, Richard H, 1994. "Psychology and Savings Policies," American Economic Review, American Economic Association, vol. 84(2), pages 186-92, May.
  15. Strulik, Holger, 2009. "Patience and Prosperity," Hannover Economic Papers (HEP) dp-426, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  16. Elisabet Rutstrom & Glenn Harrison & Melonie Williams & Morten Lau, 2002. "Estimating individual discount rates in denmark: A field experiment," Artefactual Field Experiments 00062, The Field Experiments Website.
  17. Hongyi Li & Heng-fu Zou, 1998. "Income Inequality Is Not Harmful for Growth: Theory and Evidence," CEMA Working Papers 74, China Economics and Management Academy, Central University of Finance and Economics.
  18. 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 611-35, August.
  19. Kaganovich, Mikhail, 1985. "Efficiency of Sliding Plans in a Linear Model with Time-Dependent Technology," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 691-702, October.
  20. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-37, October.
  21. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
  22. Meng, Qinglai, 2006. "Impatience and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2671-2692, December.
  23. Alesina, Alberto & Rodrik, Dani, 1994. "Distributive Politics and Economic Growth," The Quarterly Journal of Economics, MIT Press, vol. 109(2), pages 465-90, May.
  24. Andrew A. Samwick, 1997. "Discount Rate Heterogeneity and Social Security Reform," NBER Working Papers 6219, National Bureau of Economic Research, Inc.
  25. Kristin J. Forbes, 2000. "A Reassessment of the Relationship between Inequality and Growth," American Economic Review, American Economic Association, vol. 90(4), pages 869-887, September.
  26. Partridge, Mark D, 1997. "Is Inequality Harmful for Growth? Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1019-32, December.
  27. Bourguignon, Francois, 1981. "Pareto Superiority of Unegalitarian Equilibria in Stiglitz' Model of Wealth Distribution with Convex Saving Function," Econometrica, Econometric Society, vol. 49(6), pages 1469-75, November.
  28. Lawrance, Emily C, 1991. "Poverty and the Rate of Time Preference: Evidence from Panel Data," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 54-77, February.
  29. Cagetti, Marco, 2003. "Wealth Accumulation over the Life Cycle and Precautionary Savings," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(3), pages 339-53, July.
  30. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-23, May.
  31. Nicholas S. Souleles, 1999. "The Response of Household Consumption to Income Tax Refunds," American Economic Review, American Economic Association, vol. 89(4), pages 947-958, September.
  32. Jean-Pierre Drugeon, 1998. "A model with endogenously determined cycles, discounting and growth," Economic Theory, Springer, vol. 12(2), pages 349-369.
  33. Lusardi, Annamaria, 1996. "Permanent Income, Current Income, and Consumption: Evidence from Two Panel Data Sets," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 81-90, January.
  34. Pollak, Robert A, 1978. "Endogenous Tastes in Demand and Welfare Analysis," American Economic Review, American Economic Association, vol. 68(2), pages 374-79, May.
  35. Christopher Tyson, 2006. "Management of a Capital Stock by Strotz`s Naive Planner," Economics Series Working Papers 2006-W01, University of Oxford, Department of Economics.
  36. Christopher D Carroll & Jody Overland & David N Weil, 1997. "Comparison Utility in a Growth Model," Economics Working Paper Archive 387, The Johns Hopkins University,Department of Economics.
  37. Perotti, Roberto & Alesina, Alberto, 1996. "Income Distribution, Political Instability, and Investment," Scholarly Articles 4553018, Harvard University Department of Economics.
  38. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
  39. Leandro Carvalho, 2010. "Poverty and Time Preference," Working Papers 759, RAND Corporation Publications Department.
  40. Ken-Ichi Hirose & Shinsuke Ikeda, 2008. "On Decreasing Marginal Impatience," The Japanese Economic Review, Japanese Economic Association, vol. 59(3), pages 259-274.
  41. Barro, Robert J, 2000. " Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
  42. Borissov, Kirill, 2002. "Indeterminate steady-state equilibria in a one-sector model," Economics Letters, Elsevier, vol. 77(1), pages 125-130, September.
  43. Cuong Le Van & Cagri Saglam & Selman Erol, 2011. "Existence, Optimality and Dynamics of Equilibria with Endogenous Time Preference," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00639731, HAL.
  44. Michael Stern, 2006. "Endogenous time preference and optimal growth," Economic Theory, Springer, vol. 29(1), pages 49-70, September.
  45. Chen, Been-Lon, 2003. "An inverted-U relationship between inequality and long-run growth," Economics Letters, Elsevier, vol. 78(2), pages 205-212, February.
  46. Perotti, Roberto, 1996. " Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-87, June.
  47. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, June.
  48. Kirill Borissov, 2013. "The existence of equilibrium paths in an AK-model with endogenous time preferences and borrowing constraints," EUSP Deparment of Economics Working Paper Series Ec-01/13, European University at St. Petersburg, Department of Economics.
  49. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
  50. John Hey & Luca Panaccione, 2011. "Dynamic decision making: what do people do?," Journal of Risk and Uncertainty, Springer, vol. 42(2), pages 85-123, April.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:matsoc:v:66:y:2013:i:2:p:117-128. 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: (Zhang, Lei)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.