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On existence of optimal programs: The RSS model without concavity assumptions on felicities

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  • Khan, M. Ali
  • Zaslavski, Alexander J.

Abstract

In the context of a model due to Robinson, Solow and Srinivasan (the RSS model) with time-dependent felicity functions that are not necessarily concave, we report a theorem on the existence of optimal programs. An extended introduction places our theorem in the context of previous work on the existence question.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 45 (2009)
Issue (Month): 9-10 (September)
Pages: 624-633

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Handle: RePEc:eee:mateco:v:45:y:2009:i:9-10:p:624-633

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: RSS model Optimal program Time-dependence Non-concave felicities Hyperbolic discounting;

References

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  1. Mitra, Tapan & Zilcha, Itzhak, 1981. "On Optimal Economic Growth with Changing Technology and Tastes: Characterization and Stability Results," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(1), pages 221-38, February.
  2. Mitra, Tapan, 1979. "On Optimal Economic Growth with Variable Discount Rates: Existence and Stability Results," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(1), pages 133-45, February.
  3. Hammond, Peter J, 1975. "Agreeable Plans with Many Capital Goods," Review of Economic Studies, Wiley Blackwell, vol. 42(1), pages 1-14, January.
  4. Khan, M. Ali & Zaslavski, Alexander J., 2007. "On a Uniform Turnpike of the Third Kind in the Robinson-Solow-Srinivasan Model," Economics Working Papers (Ensaios Economicos da EPGE) 641, FGV/EPGE Escola Brasileira de Economia e Finan├žas, Getulio Vargas Foundation (Brazil).
  5. Obstfeld, Maurice, 1990. "Intertemporal dependence, impatience, and dynamics," Journal of Monetary Economics, Elsevier, vol. 26(1), pages 45-75, August.
  6. 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.
  7. M. Ali Khan & Tapan Mitra, 2005. "On choice of technique in the Robinson-Solow-Srinivasan model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(2), pages 83-110.
  8. Hammond, Peter J & Kennan, John, 1979. "Uniformly Optimal Infinite Horizon Plans," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 283-96, June.
  9. McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355 Elsevier.
  10. Solow, Robert M., 2005. "Reflections on Growth Theory," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 0, pages 3-10 Elsevier.
  11. Majumdar, Mukul & Mitra, Tapan, 1982. "Intertemporal allocation with a non-convex technology: The aggregative framework," Journal of Economic Theory, Elsevier, vol. 27(1), pages 101-136, June.
  12. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
  13. Lionel W. McKenzie, 2005. "Classical General Equilibrium Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633302.
  14. Mukul Majumdar & Tapan Mitra, 1991. "Intertemporal decentralization," Finnish Economic Papers, Finnish Economic Association, vol. 4(2), pages 79-103, Autumn.
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Citations

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Cited by:
  1. Khan, M. Ali & Piazza, Adriana, 2010. "On the non-existence of optimal programs in the Robinson-Solow-Srinivasan (RSS) model," Economics Letters, Elsevier, vol. 109(2), pages 94-98, November.

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