IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Intergenerational interactions in human capital accumulation

We analyze an economy populated by a sequence of generations who decide over their consumption and investment in human capital of their immediate descendants. The objective of the paper is twofold: firstly, to identify the impact of strategic interactions between consecutive generations on the time path of human capital accumulation. To this end, we characterize the Markov perfect equilibrium (MPE) in such an economy and derive the sufficient conditions for its existence and uniqueness. We then benchmark our results against an optimal but time-inconsistent policy which abstracts from strategic interactions between generations. We prove analytically that human capital accumulation is unambiguously lower in the “strategic” case than in the optimal, “non-strategic” case. The second objective of the current paper is to work out a functional parametrization of the model, suitable for obtaining clear-cut results on the monotonicity of the (unique) Markov perfect equilibrium policy and the optimal policy. We then carry out a sensitivity analysis under this parametrization, thereby assessing quantitatively the magnitude of discrepancies between human capital accumulation paths whether strategic interactions between consecutive generations are taken into account or not.

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.nbp.pl/publikacje/materialy_i_studia/71_en.pdf
Download Restriction: no

Paper provided by National Bank of Poland, Economic Institute in its series National Bank of Poland Working Papers with number 71.

as
in new window

Length: 46
Date of creation: 2010
Handle: RePEc:nbp:nbpmis:71
Contact details of provider: Postal:
00-919 Warszawa ul. Świętokrzyska 11/21

Phone: (0-22) 653 10 00
Fax: (0-22) 620 85 18
Web page: http://www.nbp.pl/Homen.aspx?f=/en/publikacje/materialy_i_studia/informacja_en.html

More information through EDIRC

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. Lionel, Artige & Carmen Camacho & David de la Croix, 2003. "Wealth breeds decline : Reversals of leadership and consumption habits," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2003009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  2. Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers.
  3. Doraszelski, Ulrich & Escobar, Juan F., 2012. "Restricted feedback in long term relationships," Journal of Economic Theory, Elsevier, vol. 147(1), pages 142-161.
  4. Ioannis Karatzas & Martin Shubik & William D. Sudderth, 1995. "A Strategic Market Game With Secured Lending," Working Papers 95-03-037, Santa Fe Institute.
  5. Andrzej Nowak, 2003. "On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 121-132, December.
  6. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
  7. Santos, Manuel S., 1994. "Smooth dynamics and computation in models of economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 879-895.
  8. Joseph Eisenhauer & Luigi Ventura, 2006. "The prevalence of hyperbolic discounting: some European evidence," Applied Economics, Taylor & Francis Journals, vol. 38(11), pages 1223-1234.
  9. Abel, Andrew B & Warshawsky, Mark, 1988. "Specification of the Joy of Giving: Insights from Altruism," The Review of Economics and Statistics, MIT Press, vol. 70(1), pages 145-149, February.
  10. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, September.
  11. Gary S. Becker & Nigel Tomes, "undated". "Human Capital and the Rise and Fall of Families," University of Chicago - Population Research Center 84-10, Chicago - Population Research Center.
  12. Wilbur John Coleman, 1989. "Equilibrium in a production economy with an income tax," International Finance Discussion Papers 366, Board of Governors of the Federal Reserve System (U.S.).
  13. Arrondel, Luc & Masson, Andre, 2006. "Altruism, exchange or indirect reciprocity: what do the data on family transfers show?," Handbook on the Economics of Giving, Reciprocity and Altruism, Elsevier.
  14. Zhigang Feng & Jianjun Miao & Adrian Peralta-Alva & Manuel S. Santos, 2009. "Numerical simulation of nonoptimal dynamic equilibrium models," Working Papers 2009-018, Federal Reserve Bank of St. Louis.
  15. Rangazas, Peter, 2000. "Schooling and economic growth: A King-Rebelo experiment with human capital," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 397-416, October.
  16. Pradeep Dubey & Martin Shubik, 1976. "A Closed Economic System with Production and Exchange Modelled as a Game of Strategy," Cowles Foundation Discussion Papers 429, Cowles Foundation for Research in Economics, Yale University.
  17. Bernheim, B. Douglas & Ray, Debraj, 1989. "Markov perfect equilibria in altruistic growth economies with production uncertainty," Journal of Economic Theory, Elsevier, vol. 47(1), pages 195-202, February.
  18. Laitner, John, 1979. "Household Bequests, Perfect Expectations, and the National Distribution of Wealth," Econometrica, Econometric Society, vol. 47(5), pages 1175-1193, September.
  19. Amir, Rabah, 1996. "Strategic Intergenerational Bequests with Stochastic Convex Production," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 367-376, August.
  20. Adrian Bruhin & Rainer Winkelmann, 2007. "Happiness Functions with Preference Interdependence and Heterogeneity: The Case of Altruism within the Family," SOI - Working Papers 0702, Socioeconomic Institute - University of Zurich, revised Feb 2008.
  21. John Geanakoplos & Ioannis Karatzas & Martin Shubik & William D. Sudderth, 1998. "A Strategic Market Game with Active Bankruptcy," Cowles Foundation Discussion Papers 1183, Cowles Foundation for Research in Economics, Yale University.
  22. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," Review of Economic Studies, Oxford University Press, vol. 23(3), pages 165-180.
  23. Michael Magill & Martine Quinzii, 2009. "The probability approach to general equilibrium with production," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 1-41, April.
  24. Shleifer, Andrei & Summers, Lawrence H. & Bernheim, B. Douglas, 1986. "The Strategic Bequest Motive," Scholarly Articles 3721794, Harvard University Department of Economics.
  25. Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-867, June.
  26. Bezalel Peleg & Menahem E. Yaari, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 391-401.
  27. Yoram Ben-Porath, 1967. "The Production of Human Capital and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 75, pages 352-352.
  28. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
  29. Lane, John & Mitra, Tapan, 1981. "On Nash Equilibrium Programs of Capital Accumulation under Altruistic Preferences," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 309-331, June.
  30. Kohlberg, Elon, 1976. "A model of economic growth with altruism between generations," Journal of Economic Theory, Elsevier, vol. 13(1), pages 1-13, August.
  31. Amir, R., 1991. "Sensitivity analysis of multi-sector optimal economic dynamics," CORE Discussion Papers 1991006, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  32. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2013. "A constructive geometrical approach to the uniqueness of Markov stationary equilibrium in stochastic games of intergenerational altruism," Journal of Economic Dynamics and Control, Elsevier, vol. 37(5), pages 1019-1039.
  33. Jacob Mincer, 1958. "Investment in Human Capital and Personal Income Distribution," Journal of Political Economy, University of Chicago Press, vol. 66, pages 281-281.
  34. Orazem, Peter & Tesfatsion, Leigh, 1997. "Macrodynamic Implications of Income-Transfer Policies for Human Capital Investment and School Effort," Journal of Economic Growth, Springer, vol. 2(3), pages 305-329, September.
  35. Chari, V V & Hopenhayn, Hugo, 1991. "Vintage Human Capital, Growth, and the Diffusion of New Technology," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1142-1165, December.
  36. Datta, Manjira & Mirman, Leonard J. & Reffett, Kevin L., 2002. "Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor," Journal of Economic Theory, Elsevier, vol. 103(2), pages 377-410, April.
  37. Amir, R., "undated". "Continuous stochastic games of capital accumulation with convex transitions," CORE Discussion Papers RP 1227, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  38. B. Douglas Bernheim & Debraj Ray, 1987. "Economic Growth with Intergenerational Altruism," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 227-243.
  39. Kydland, Finn E. & Prescott, Edward C., 1980. "Dynamic optimal taxation, rational expectations and optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 79-91, May.
  40. Montrucchio, Luigi, 1998. "Thompson metric, contraction property and differentiability of policy functions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 449-466, January.
  41. Coleman, Wilbur II, 2000. "Uniqueness of an Equilibrium in Infinite-Horizon Economies Subject to Taxes and Externalities," Journal of Economic Theory, Elsevier, vol. 95(1), pages 71-78, November.
  42. Leonard J Mirman & Olivier F. Morand & Kevin L. Reffett, 2004. "A Qualitative Approach to Markovian Equilibrium in Infinite Horizon Economies with Capital," Levine's Bibliography 122247000000000224, UCLA Department of Economics.
  43. Klein Paul & Quadrini Vincenzo & Rios-Rull Jose-Victor, 2005. "Optimal Time-Consistent Taxation with International Mobility Of Capital," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-36, June.
  44. Galor, Oded & Tsiddon, Daniel, 1997. "The Distribution of Human Capital and Economic Growth," Journal of Economic Growth, Springer, vol. 2(1), pages 93-124, March.
  45. Paul Klein & JosÈ-VÌctor RÌos-Rull, 2003. "Time-consistent optimal fiscal policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(4), pages 1217-1245, November.
  46. Wolfgang Leininger, 1986. "The Existence of Perfect Equilibria in a Model of Growth with Altruism between Generations," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 349-367.
  47. Paul Klein & Per Krusell & José-Víctor Ríos-Rull, 2008. "Time-Consistent Public Policy," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 789-808.
  48. Aaron S. Edlin and Chris Shannon., 1995. "Strict Monotonicity in Comparative Statics," Economics Working Papers 95-238, University of California at Berkeley.
  49. Andrzej Nowak, 2006. "On perfect equilibria in stochastic models of growth with intergenerational altruism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 73-83, 05.
  50. John Laitner, 2002. "Wealth Inequality and Altruistic Bequests," American Economic Review, American Economic Association, vol. 92(2), pages 270-273, May.
  51. Dasgupta, Partha, 1974. "On some alternative criteria for justice between generations," Journal of Public Economics, Elsevier, vol. 3(4), pages 405-423, November.
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:nbp:nbpmis:71. 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: (Ewa Szymecka)

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.