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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.

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

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Length: 46
Date of creation: 2010
Date of revision:
Handle: RePEc:nbp:nbpmis:71
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  1. Rabah Amir, 1996. "Strategic intergenerational bequests with stochastic convex production," Economic Theory, Springer, vol. 8(2), pages 367-376.
  2. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
  3. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
  4. 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.
  5. Bernheim, B Douglas & Shleifer, Andrei & Summers, Lawrence H, 1985. "The Strategic Bequest Motive," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1045-76, December.
  6. Amir, Rabah, 1996. "Continuous Stochastic Games of Capital Accumulation with Convex Transitions," Games and Economic Behavior, Elsevier, vol. 15(2), pages 111-131, August.
  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. Gary S. Becker & Nigel Tomes, 1994. "Human Capital and the Rise and Fall of Families," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education (3rd Edition), pages 257-298 National Bureau of Economic Research, Inc.
  9. 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.
  10. Martine Quinzii & Michael Magill, 2007. "The Probability Approach To General Equilibrium With Production," Working Papers 83, University of California, Davis, Department of Economics.
  11. 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.
  12. Laitner, John, 1979. "Household Bequests, Perfect Expectations, and the National Distribution of Wealth," Econometrica, Econometric Society, vol. 47(5), pages 1175-93, September.
  13. Andrew B. Abel & Mark Warshawsky, . "Specification of the Joy of Giving: Insights from Altruism," Rodney L. White Center for Financial Research Working Papers 03-87, Wharton School Rodney L. White Center for Financial Research.
  14. 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.
  15. Adrian Bruhin & Rainer Winkelmann, 2009. "Happiness functions with preference interdependence and heterogeneity: the case of altruism within the family," Journal of Population Economics, Springer, vol. 22(4), pages 1063-1080, October.
  16. Andrzej Nowak, 2003. "On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points," International Journal of Game Theory, Springer, vol. 32(1), pages 121-132, December.
  17. Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-67, June.
  18. 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.
  19. Luc Arrondel & André Masson, 2002. "Altruism, Exchange or Indirect Reciprocity: What do the Data on Family Transfers Show?," DELTA Working Papers 2002-18, DELTA (Ecole normale supérieure).
  20. Jacob Mincer, 1958. "Investment in Human Capital and Personal Income Distribution," Journal of Political Economy, University of Chicago Press, vol. 66, pages 281.
  21. Bernheim, B Douglas & Ray, Debraj, 1987. "Economic Growth with Intergenerational Altruism," Review of Economic Studies, Wiley Blackwell, vol. 54(2), pages 227-41, April.
  22. Orazem, Peter & Tesfatsion, Leigh S., 1997. "Macrodynamic Implications of Income Transfer Policies for Human Capital Investment and School Effort," Staff General Research Papers 1683, Iowa State University, Department of Economics.
  23. Dasgupta, Partha, 1974. "On some alternative criteria for justice between generations," Journal of Public Economics, Elsevier, vol. 3(4), pages 405-423, November.
  24. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
  25. Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 391-401, July.
  26. Paul Klein & Per Krusell & José-V�ctor R�os-Rull, 2008. "Time-Consistent Public Policy," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 789-808.
  27. Barro, Robert J., 1974. "Are Government Bonds Net Wealth?," Scholarly Articles 3451399, Harvard University Department of Economics.
  28. 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 1142-65, December.
  29. 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.
  30. Andrzej Nowak, 2006. "On perfect equilibria in stochastic models of growth with intergenerational altruism," Economic Theory, Springer, vol. 28(1), pages 73-83, 05.
  31. 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.
  32. 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 473-91, June.
  33. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
  34. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
  35. 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).
  36. John Laitner, 2002. "Wealth Inequality and Altruistic Bequests," American Economic Review, American Economic Association, vol. 92(2), pages 270-273, May.
  37. Leininger, Wolfgang, 1986. "The Existence of Perfect Equilibria in a Model of Growth with Altruism between Generations," Review of Economic Studies, Wiley Blackwell, vol. 53(3), pages 349-67, July.
  38. 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.
  39. 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 309-31, June.
  40. 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.
  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.
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