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Intergenerational Interactions in Human Capital Accumulation

  • Wozny Lukasz

    ()

    (Warsaw School of Economics)

  • Growiec Jakub

    ()

    (Warsaw School of Economics)

This paper considers an economy populated by a sequence of generations who decide over their consumption and investment in human capital of their immediate descendants. In such a framework, we first identify the impact of strategic interactions between consecutive generations on the time path of human capital accumulation. To this end, we characterize the decentralized Markov stationary Nash equilibrium (MSNE) and derive the sufficient conditions for its existence and uniqueness. We then provide sufficient conditions under which human capital accumulation is unambiguously (pointwise) lower in the ``strategic'' equilibrium than under the optimal dynastic policy, and discuss an example where this ordering does not hold. Secondly, we also run a numerical sensitivity analysis to assess the magnitude of discrepancies between the two analyzed cases and discuss the potential implications of overestimation of the human capital role if intergenerational interactions are not accounted for.

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Article provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.

Volume (Year): 12 (2012)
Issue (Month): 1 (June)
Pages: 1-47

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Handle: RePEc:bpj:bejtec:v:12:y:2012:i:1:n:20
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  1. Per Krusell & Anthony A. Smith, Jr., . "Consumption-Savings Decisions with Quasi-Geometric Discounting," GSIA Working Papers 2001-05, Carnegie Mellon University, Tepper School of Business.
  2. 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 145-49, February.
  3. 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 305-29, September.
  4. Amir, Rabah, 1996. "Strategic Intergenerational Bequests with Stochastic Convex Production," Economic Theory, Springer, vol. 8(2), pages 367-76, August.
  5. 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.
  6. Jacob Mincer, 1958. "Investment in Human Capital and Personal Income Distribution," Journal of Political Economy, University of Chicago Press, vol. 66, pages 281.
  7. Gary S. Becker & Nigel Tomes, . "Human Capital and the Rise and Fall of Families," University of Chicago - Population Research Center 84-10, Chicago - Population Research Center.
  8. Barro, Robert J., 1974. "Are Government Bonds Net Wealth?," Scholarly Articles 3451399, Harvard University Department of Economics.
  9. 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.
  10. 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.
  11. Andrzej Nowak, 2006. "On perfect equilibria in stochastic models of growth with intergenerational altruism," Economic Theory, Springer, vol. 28(1), pages 73-83, 05.
  12. repec:dgr:uvatin:20050012 is not listed on IDEAS
  13. Shleifer, Andrei & Summers, Lawrence H. & Bernheim, B. Douglas, 1986. "The Strategic Bequest Motive," Scholarly Articles 3721794, Harvard University Department of Economics.
  14. Dasgupta, Partha, 1974. "On some alternative criteria for justice between generations," Journal of Public Economics, Elsevier, vol. 3(4), pages 405-423, November.
  15. Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-67, June.
  16. Amir, Rabah, 1996. "Continuous Stochastic Games of Capital Accumulation with Convex Transitions," Games and Economic Behavior, Elsevier, vol. 15(2), pages 111-131, August.
  17. 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.
  18. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
  24. Laitner, John, 1979. "Household Bequests, Perfect Expectations, and the National Distribution of Wealth," Econometrica, Econometric Society, vol. 47(5), pages 1175-93, September.
  25. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
  26. ARTIGE, Lionel & CAMACHO, Carmen & DE LA CROIX, David, . "Wealth breeds decline: reversals of leadership and consumption habits," CORE Discussion Papers RP -1743, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  27. John Laitner, 2001. "Wealth, Inequality, and Altruistic Bequests," Working Papers wp017, University of Michigan, Michigan Retirement Research Center.
  28. 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.
  29. Martine Quinzii & Michael Magill, 2007. "The Probability Approach To General Equilibrium With Production," Working Papers 83, University of California, Davis, Department of Economics.
  30. 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.
  31. Bernheim, B Douglas & Ray, Debraj, 1987. "Economic Growth with Intergenerational Altruism," Review of Economic Studies, Wiley Blackwell, vol. 54(2), pages 227-41, April.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. 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.
  42. 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.
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