IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-04279203.html
   My bibliography  Save this paper

Growth and distribution in an AK-model with endogenous impatience

Author

Listed:
  • Kirill Borissov

    (European University at Saint Petersburg)

  • Stéphane Lambrecht

    (EQUIPPE - Economie Quantitative, Intégration, Politiques Publiques et Econométrie - Université de Lille, Sciences et Technologies - Université de Lille, Sciences Humaines et Sociales - PRES Université Lille Nord de France - Université de Lille, Droit et Santé, Center for Operations Research and Econometrics CORE - UCL - Université Catholique de Louvain = Catholic University of Louvain, Université de Lille, Sciences et Technologies)

Abstract

This paper combines two strands of the literature on inequality and distribution issues: the classical approach, which insists on the division of society into classes characterized by different saving propensities, and the social conflict approach, which considers that inequality inflicts direct and indirect costs to economic development. An endogenous-growth model is studied. We assume that each consumer's subjective discount factor is determined endogenously and depends on economic inequality through the following two channels. On the one hand, it is positively related to the individual consumer's relative wealth. On the other hand, it is negatively affected by a simple aggregate measure of social conflict. We show that, unlike models with exogenously given discount rates, steady state equilibria in our model is indeterminate and that the set of all equilibria is acontinuum which can be parameterized by a simple index of income inequality. The growth rate is ambiguously related to the inequality index. However, under some reasonable assumptions, the growth rate dependence on this index has an inverted U-shaped form.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Kirill Borissov & Stéphane Lambrecht, 2009. "Growth and distribution in an AK-model with endogenous impatience," Post-Print hal-04279203, HAL.
    • Handle: RePEc:hal:journl:hal-04279203
    DOI: 10.1007/s00199-007-0307-7
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    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. Bertola, Giuseppe, 1993. "Factor Shares and Savings in Endogenous Growth," American Economic Review, American Economic Association, vol. 83(5), pages 1184-1198, December.
    3. Alesina, Alberto & Perotti, Roberto, 1996. "Income distribution, political instability, and investment," European Economic Review, Elsevier, vol. 40(6), pages 1203-1228, June.
    4. Joydeep Bhattacharya, 1997. "Credit market imperfections, income distribution, and capital accumulation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 171-200.
    5. Lambrecht, Stephane & Michel, Philippe & Vidal, Jean-Pierre, 2005. "Public pensions and growth," European Economic Review, Elsevier, vol. 49(5), pages 1261-1281, July.
    6. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
    7. Alberto Alesina & Dani Rodrik, 1994. "Distributive Politics and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 465-490.
    8. Gerhard Sorger, 2000. "Income and wealth distribution in a simple model of growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 23-42.
    9. Kirill Borissov & Stephane Lambrecht, 2005. "Growth and Distribution in Models with Endogenous Impatience," EUSP Department of Economics Working Paper Series Ec-03/05, European University at St. Petersburg, Department of Economics, revised Oct 2005.
    10. Philippe Aghion & Patrick Bolton, 1997. "A Theory of Trickle-Down Growth and Development," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(2), pages 151-172.
    11. Bourguignon Francois, 2009. "Crime as a Social Cost of Poverty and Inequality: A Review Focusing on Developing countries," Revista Desarrollo y Sociedad, Universidad de los Andes,Facultad de Economía, CEDE, September.
    12. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 35-52.
    13. Jess Benhabib & Adam Przeworski, 2006. "The political economy of redistribution under democracy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 271-290, October.
    14. Samwick, Andrew A., 1998. "Discount rate heterogeneity and social security reform," Journal of Development Economics, Elsevier, vol. 57(1), pages 117-146, October.
    15. N. Gregory Mankiw, 2000. "The Savers-Spenders Theory of Fiscal Policy," American Economic Review, American Economic Association, vol. 90(2), pages 120-125, May.
    16. Bleaney, Michael & Nishiyama, Akira, 2004. "Income inequality and growth--does the relationship vary with the income level?," Economics Letters, Elsevier, vol. 84(3), pages 349-355, September.
    17. Giacomo Corneo & Olivier Jeanne, 2001. "Status, the Distribution of Wealth, and Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 103(2), pages 283-293, June.
    18. Hongyi Li & Heng‐fu Zou, 1998. "Income Inequality is not Harmful for Growth: Theory and Evidence," Review of Development Economics, Wiley Blackwell, vol. 2(3), pages 318-334, October.
    19. Been-Lon Chen, 2007. "Multiple BGPs in a Growth Model with Habit Persistence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(1), pages 25-48, February.
    20. Glenn W. Harrison & Morten I. Lau & Melonie B. Williams, 2002. "Estimating Individual Discount Rates in Denmark: A Field Experiment," American Economic Review, American Economic Association, vol. 92(5), pages 1606-1617, December.
    21. Fershtman, Chaim & Murphy, Kevin M & Weiss, Yoram, 1996. "Social Status, Education, and Growth," Journal of Political Economy, University of Chicago Press, vol. 104(1), pages 108-132, February.
    22. 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.
    23. Oded Galor & Omer Moav, 1999. "From Physical to Human Capital Accumulation: Inequality in the Process of Development," Working Papers 99-27, Brown University, Department of Economics.
    24. Persson, Torsten & Tabellini, Guido, 1994. "Is Inequality Harmful for Growth?," American Economic Review, American Economic Association, vol. 84(3), pages 600-621, June.
    25. Von Schlicht Ekkehart, 1975. "A Neoclassical Theory of Wealth Distribution," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 189(1-2), pages 78-96, January.
    26. Corneo, Giacomo & Jeanne, Olivier, 2001. " Status, the Distribution of Wealth, and Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 103(2), pages 283-293, June.
    27. Smetters, Kent, 1999. "Ricardian equivalence: long-run Leviathan," Journal of Public Economics, Elsevier, vol. 73(3), pages 395-421, September.
    28. 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.
    29. 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.
    30. Oded Galor & Omer Moav, 2004. "From Physical to Human Capital Accumulation: Inequality and the Process of Development," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1001-1026.
    31. Philippe Michel & Pierre Pestieau, 1998. "Fiscal Policy in a Growth Model with Both Altruistic and Nonaltruistic Agents," Southern Economic Journal, John Wiley & Sons, vol. 64(3), pages 682-697, January.
    32. Cecilia García-Peñalosa & Stephen Turnovsky, 2006. "Growth and income inequality: a canonical model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 25-49, May.
    33. Luigi L. Pasinetti, 1962. "Rate of Profit and Income Distribution in Relation to the Rate of Economic Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 267-279.
    34. Kirill Borissov & Stephane Lambrecht, 2005. "Growth and Distribution in Models with Endogenous Impatience," EUSP Department of Economics Working Paper Series 2005/03, European University at St. Petersburg, Department of Economics, revised Oct 2005.
    35. Cole, Harold L & Mailath, George J & Postlewaite, Andrew, 1992. "Social Norms, Savings Behavior, and Growth," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1092-1125, December.
    36. Partridge, Mark D, 1997. "Is Inequality Harmful for Growth? Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1019-1032, December.
    37. Borissov, Kirill, 2002. "Indeterminate steady-state equilibria in a one-sector model," Economics Letters, Elsevier, vol. 77(1), pages 125-130, September.
    38. Ling Shen, 2007. "When will a Dictator be Good?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 343-366, May.
    39. Harl E. Ryder & Geoffrey M. Heal, 1973. "Optimal Growth with Intertemporally Dependent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(1), pages 1-31.
    40. Chen, Been-Lon, 2003. "An inverted-U relationship between inequality and long-run growth," Economics Letters, Elsevier, vol. 78(2), pages 205-212, February.
    41. Perotti, Roberto, 1996. "Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-187, June.
    42. 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 1469-1475, November.
    43. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    44. 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.
    45. Barro, Robert J, 2000. "Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
    46. Shi, Shouyong & Epstein, Larry G, 1993. "Habits and Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 61-84, February.
    47. Li, Hongyi & Zou, Heng-fu, 1998. "Income Inequality Is Not Harmful for Growth: Theory and Evidence," Review of Development Economics, Wiley Blackwell, vol. 2(3), pages 318-334, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Zur Theorie der Vermögensverteilung
      by Ekkehart Schlicht in Funktionale Staatsfinanzen on 2014-06-20 14:32:00

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Marcel Aloy & Gilles de Truchis, 2012. "Estimation and Testing for Fractional Cointegration," Working Papers halshs-00793206, HAL.
    2. Nathalie Chusseau & Joël Hellier & B. Ben-Halima, 2013. "Education, Intergenerational Mobility and Inequality," Palgrave Macmillan Books, in: Joël Hellier & Nathalie Chusseau (ed.), Growing Income Inequalities, chapter 8, pages 227-273, Palgrave Macmillan.
    3. Borissov, Kirill & Surkov, Alexander, 2010. "Common and private property to exhaustible resources: theoretical implications for economic growth," MPRA Paper 27524, University Library of Munich, Germany.
    4. 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 2013/01, European University at St. Petersburg, Department of Economics.
    5. 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.
    6. Strulik, Holger, 2012. "Patience and prosperity," Journal of Economic Theory, Elsevier, vol. 147(1), pages 336-352.
    7. Borissov, K. & Pakhnin, M., 2018. "A Division of Society into the Rich and the Poor: Some Approaches to Modeling," Journal of the New Economic Association, New Economic Association, vol. 40(4), pages 32-59.
    8. Borissov, Kirill & Surkov, Alexander, 2010. "Common and private property to exhaustible resources: theoretical implications for economic growth," MPRA Paper 27524, University Library of Munich, Germany.
    9. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    10. Kirill Borissov & Stéphane Lambrecht, 2011. "Education, Wage Inequality and Growth," Working Papers hal-00955684, HAL.
    11. Pierre Pestieau & Emmanuel Thibault, 2012. "Love thy children or money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 31-57, May.
    12. Kirill Borissov & Mikhail Pakhnin, 2018. "Economic growth and property rights on natural resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 423-482, March.
    13. Joël Hellier & Stéphane Lambrecht, 2013. "Inequality, Growth and Welfare: The Main Links," Palgrave Macmillan Books, in: Joël Hellier & Nathalie Chusseau (ed.), Growing Income Inequalities, chapter 9, pages 274-311, Palgrave Macmillan.
    14. Kirill Borissov & Mikhail Pakhnin, 2018. "Economic growth and property rights on natural resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 423-482, March.
    15. 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.
    16. Noritaka Maebayashi & Kunihiko Konishi, 2016. "Sustainability of the public debt and wealth inequality in a general equilibrium model," Discussion Papers in Economics and Business 16-33, Osaka University, Graduate School of Economics.
    17. Kirill Borissov & Alexander Surkov, 2012. "Public versus Private Ownership of Exhaustible Resources in Models of Economic Growth with Heterogeneous Consumers," DEGIT Conference Papers c017_046, DEGIT, Dynamics, Economic Growth, and International Trade.
    18. Tamotsu Nakamura, 2014. "On Ramsey's conjecture with AK technology," Economics Bulletin, AccessEcon, vol. 34(2), pages 875-884.
    19. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    20. Cecilia García-Peñalosa & Stephen J. Turnovsky, 2012. "Income Inequality, Mobility, and the Accumulation of Capital: The Role of Heterogeneous Labor Productivity," Working Papers halshs-00793209, HAL.
    21. 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.
    22. Borissov, Kirill, 2016. "The Rich And The Poor In A Simple Model Of Growth And Distribution," Macroeconomic Dynamics, Cambridge University Press, vol. 20(7), pages 1934-1952, October.

    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. 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.
    2. Mehmet Balcilar & Rangan Gupta & Wei Ma & Philton Makena, 2021. "Income inequality and economic growth: A re‐examination of theory and evidence," Review of Development Economics, Wiley Blackwell, vol. 25(2), pages 737-757, May.
    3. Kirill Borissov & Stephane Lambrecht, 2005. "Growth and Distribution in Models with Endogenous Impatience," EUSP Department of Economics Working Paper Series Ec-03/05, European University at St. Petersburg, Department of Economics, revised Oct 2005.
    4. Kirill Borissov & Stephane Lambrecht, 2005. "Growth and Distribution in Models with Endogenous Impatience," EUSP Department of Economics Working Paper Series 2005/03, European University at St. Petersburg, Department of Economics, revised Oct 2005.
    5. Marrero, Gustavo A. & Rodríguez, Juan G., 2013. "Inequality of opportunity and growth," Journal of Development Economics, Elsevier, vol. 104(C), pages 107-122.
    6. Adelaide Duarte & Marta Simões, 2009. "Channels of transmission of inequality to growth: A survey of the theory and evidence from a Portuguese perspective," GEMF Working Papers 2009-07, GEMF, Faculty of Economics, University of Coimbra.
    7. Thomas Leoni & Wolfgang Pollan, 2003. "The Impact of Inequality on Economic Growth," WIFO Working Papers 211, WIFO.
    8. Blotevogel, Robert & Imamoglu, Eslem & Moriyama, Kenji & Sarr, Babacar, 2022. "Income inequality measures and economic growth channels," Journal of Macroeconomics, Elsevier, vol. 72(C).
    9. Shinhye Chang & Rangan Gupta & Stephen M. Miller, 2018. "Causality Between Per Capita Real GDP and Income Inequality in the U.S.: Evidence from a Wavelet Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 135(1), pages 269-289, January.
    10. Atolia, Manoj & Chatterjee, Santanu & Turnovsky, Stephen J., 2012. "Growth and inequality: Dependence on the time path of productivity increases (and other structural changes)," Journal of Economic Dynamics and Control, Elsevier, vol. 36(3), pages 331-348.
    11. Chen, Yu-chin & Turnovsky, Stephen J., 2010. "Growth and inequality in a small open economy," Journal of Macroeconomics, Elsevier, vol. 32(2), pages 497-514, June.
    12. Veronica Amarante, 2014. "Revisiting Inequality and Growth: Evidence for Developing Countries," Growth and Change, Wiley Blackwell, vol. 45(4), pages 571-589, December.
    13. Lin Shu-Chin & Huang Ho-Chuan & Kim Dong-Hyeon & Yeh Chih-Chuan, 2009. "Nonlinearity between Inequality and Growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 13(2), pages 1-20, May.
    14. Adelaide P. S. Duarte & Marta C. N. Simões, 2011. "Inequality and Growth relevant Links for the Portuguese Economy," Book Chapters, in: Mirjana Radovic Markovic & Srdjan Redzepagic & João Sousa Andrade & Paulino Teixeira (ed.), Serbia and the European Union: Economic Lessons from the New Member States, edition 1, volume 1, chapter 11, pages 167-184, Institute of Economic Sciences.
    15. Panizza, Ugo, 2002. "Income Inequality and Economic Growth: Evidence from American Data," Journal of Economic Growth, Springer, vol. 7(1), pages 25-41, March.
    16. Christophe Ehrhart, 2009. "The effects of inequality on growth: a survey of the theoretical and empirical literature," Working Papers 107, ECINEQ, Society for the Study of Economic Inequality.
    17. Arshad Ali Bhatti & M. Emranul Haque & Denise R. Osborn, 2015. "Threshold Effects of Inequality on the Process of Economic Growth," Centre for Growth and Business Cycle Research Discussion Paper Series 205, Economics, The University of Manchester.
    18. Seher Gülşah Topuz, 2022. "The Relationship Between Income Inequality and Economic Growth: Are Transmission Channels Effective?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 162(3), pages 1177-1231, August.
    19. Grossmann, Volker, 2008. "Risky human capital investment, income distribution, and macroeconomic dynamics," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 19-42, March.
    20. Adnen Ben Nasr & Mehmet Balcilar & Rangan Gupta & Seyi Saint Akadiri, 2018. "Asymmetric Effects of Inequality on Per Capita Real GDP of the United States," Working Papers 201820, University of Pretoria, Department of Economics.

    More about this item

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General

    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:hal:journl:hal-04279203. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.