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Time Preference and Dynamic Stability in an N-Country World Economy

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  • Ken-Ichi Hirose
  • Shinsuke Ikeda

Abstract

We examine stability of competitive equilibrium in an N-country world economy with capital accumulation, where each country can have either increasing marginal impatience (IMI) or decreasing marginal impatience (DMI). The necessary and sufficient condition for stability is shown as positive definiteness of a simple matrix. The condition requires that any positive perturbation in one country's wealth, adjusted for international spill-over effects on other country's savings, reduces the country's wealth accumulation. In the presence of a DMI country, the number of countries should be sufficiently small for stability. Particularly, the existence of two or more than two DMI countries implies instablility.

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Paper provided by Institute of Social and Economic Research, Osaka University in its series ISER Discussion Paper with number 0887.

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Date of creation: Sep 2013
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Handle: RePEc:dpr:wpaper:0887

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  1. Lawrance, Emily C, 1991. "Poverty and the Rate of Time Preference: Evidence from Panel Data," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 54-77, February.
  2. Ken-Ichi Hirose & Shinsuke Ikeda, 2008. "On Decreasing Marginal Impatience," The Japanese Economic Review, Japanese Economic Association, vol. 59(3), pages 259-274.
  3. Shinsuke Ikeda, 2001. "Weakly non-separable preferences and the Harberger-Laursen-Metzler effect," Canadian Journal of Economics, Canadian Economics Association, vol. 34(1), pages 290-307, February.
  4. Epstein, Larry G, 1987. "The Global Stability of Efficient Intertemporal Allocations," Econometrica, Econometric Society, vol. 55(2), pages 329-55, March.
  5. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
  6. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
  7. Obstfeld, Maurice, 1990. "Intertemporal dependence, impatience, and dynamics," Journal of Monetary Economics, Elsevier, vol. 26(1), pages 45-75, August.
  8. Andrew A. Samwick, 1997. "Discount Rate Heterogeneity and Social Security Reform," NBER Working Papers 6219, National Bureau of Economic Research, Inc.
  9. Epstein, Larry G & Hynes, J Allan, 1983. "The Rate of Time Preference and Dynamic Economic Analysis," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 611-35, August.
  10. Devereux, Michael B. & Shi, Shouyong, 1991. "Capital accumulation and the current account in a two-country model," Journal of International Economics, Elsevier, vol. 30(1-2), pages 1-25, February.
  11. Hirose, Ken-Ichi & Ikeda, Shinsuke, 2012. "Decreasing and increasing marginal impatience and the terms of trade in an interdependent world economy," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1551-1565.
  12. Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February.
  13. Ken-ichi Hirose & Shinsuke Ikeda, 2012. "Decreasing marginal impatience in a two-country world economy," Journal of Economics, Springer, vol. 105(3), pages 247-262, April.
  14. Jafarey, Saqib & Park, Hyun, 1998. "The dynamics of optimal wealth distributions with recursive utility," Economics Letters, Elsevier, vol. 61(2), pages 149-158, November.
  15. Shinsuke Ikeda, 2006. "Luxury And Wealth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 495-526, 05.
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