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Solving the non-convexity problem in some shopping-time and human-capital models

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  • Cysne, Rubens Penha

Abstract

Several works in the shopping-time and in the human-capital literature, due to the nonconcavity of the underlying Hamiltonian, use Örst-order conditions in dynamic optimization to characterize necessity, but not su¢ ciency, in intertemporal problems. In this work I choose one paper in each one of these two areas and show that optimality can be characterized by means of a simple aplication of Arrowís (1968) su¢ ciency theorem.

Suggested Citation

  • Cysne, Rubens Penha, 2004. "Solving the non-convexity problem in some shopping-time and human-capital models," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 567, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    • Handle: RePEc:fgv:epgewp:567
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    References listed on IDEAS

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    6. repec:fth:wilfau:97-4 is not listed on IDEAS
    7. Rosen, Sherwin, 1976. "A Theory of Life Earnings," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 45-67, August.
    8. Cysne, Rubens P, 2003. "Divisia Index, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(2), pages 221-238, April.
    9. Cysne, Rubens Penha & Maldonado, Wilfredo Fernando Leiva & Monteiro, P. K., 2004. "Inflation and income inequality: a shopping-time aproach: (Forthcoming, Journal of Development Economics)," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 566, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    10. Gillman M. & Siklos & P.L.Silver & J.L., 1996. "Money Velocity with Costly Credit," Department of Economics - Working Papers Series 515, The University of Melbourne.
    11. Antonio Ladrón-de-Guevara & Salvador Ortigueira & Manuel S. Santos, 1999. "A Two-Sector Model of Endogenous Growth with Leisure," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 609-631.
    12. Cysne, Rubens P. & Maldonado, Wilfredo L. & Monteiro, Paulo Klinger, 2005. "Inflation and income inequality: A shopping-time approach," Journal of Development Economics, Elsevier, vol. 78(2), pages 516-528, December.
    13. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Cited by:

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    3. Fernando de Holanda Barbosa, 2017. "Competitive Equilibrium Hyperinflation Under Rational Expectations," SpringerBriefs in Economics, in: Exploring the Mechanics of Chronic Inflation and Hyperinflation, chapter 0, pages 77-91, Springer.
    4. Aloisio Araujo & Luciano I. de Castro Filho, 2004. "Pure Strategy Equilibria of Multidimensional and Non-Monotonic Auctions," Econometric Society 2004 Latin American Meetings 300, Econometric Society.
    5. Athayde, Gustavo M. de & Flôres Junior, Renato Galvão, 2004. "Do higher moments really matter in portfolio choice?," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 574, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    6. Araújo, Fabio & Issler, João Victor & Fernandes, Marcelo, 2005. "Estimating the stochastic discount factor without a utility function," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 583, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    7. Horowitz, Andrew W. & Flôres Junior, Renato Galvão, 2004. "Beyond indifferent players: on the existence of prisoners dilemmas in games with amicable and adversarial preferences," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 576, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).

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