Does the utility function form matter for indeterminacy in a two sector small open economy?
AbstractIn his paper "Does utility curvature matter for indeterminacy", Kim (2005) analyzed the relationship among the utility function form, curvature and indeterminacy, concluding that the relationship between curvature and indeterminacy is not robust in neoclassical growth model and the indeterminacy may disappear under the utility specification as in Greenwood et.al (1998). The models he discussed are confined within one sector closed economy. Weder (2001), Meng and Velasco (2004) extend the Benhabib and Farmer (1996) and Benhabib and Nishimura (1998)'s closed economy two sector models into open economy, showing that indeterminacy can occur under small external effects, independently of the intertemporal elasticities in consumption. Meng and Velasco (2003) went further, showing the independence between the elasticity of labor supply and indeterminacy in open economy. Under nonseparable utility forms like in King, Plosser and Rebelo (1988, henceforth KPR) or Bennett-Farmer (2000) form, do we still have this property? In other words, is the independence between curvature and indeterminacy in small open economy models robust to the specification of the utility functions? In this note, I tackle this issue under two different versions of nonseparable utility functions commonly used in the literature. The answer is "yes" to KPR form but "no" to Bennett-Farmer form. Endogenous time preference and consumable nontradable goods are two elements to deliver this result.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 10045.
Date of creation: May 2008
Date of revision:
Indeterminacy; Endogenous time preference;
Other versions of this item:
- Yan Zhang, 2008. "Does the Utility Function Form Matter for Indeterminacy in a Two Sector Small Open Economy," Annals of Economics and Finance, Society for AEF, vol. 9(1), pages 91-101, May.
- F4 - International Economics - - Macroeconomic Aspects of International Trade and Finance
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-09-05 (All new papers)
- NEP-DGE-2008-09-05 (Dynamic General Equilibrium)
- NEP-MAC-2008-09-05 (Macroeconomics)
- NEP-OPM-2008-09-05 (Open Economy Macroeconomic)
- NEP-UPT-2008-09-05 (Utility Models & Prospect Theory)
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- Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
- Stephanie Schmitt-Grohe & Martin Uribe, 2001.
"Closing Small Open Economy Models,"
Departmental Working Papers
200115, Rutgers University, Department of Economics.
- Bennett, R.L. & Farmer, R.E.A., 1999.
"Indeterminacy with Non-Separable Utility,"
Economics Working Papers
eco99/34, European University Institute.
- Benhabib, Jess & Farmer, Roger E.A., 1996.
"Indeterminacy and Sector-Specific Externalities,"
96-12, C.V. Starr Center for Applied Economics, New York University.
- Benhabib, Jess & Farmer, Roger E A, 1996. "Indeterminacy and Sector-specific Externalities," CEPR Discussion Papers 1403, C.E.P.R. Discussion Papers.
- Benhabib, Jess & Farmer, Roger E.A., 1995. "Indeterminacy and Sector-Specific Externalities," Working Papers 95-02, C.V. Starr Center for Applied Economics, New York University.
- Roger E.A. Farmer, 1994. "Indeterminacy and Sector-Specific Externalities," UCLA Economics Working Papers 722, UCLA Department of Economics.
- Turnovsky Stephen J. & Sen Partha, 1995. "Investment in a Two-Sector Dependent Economy," Journal of the Japanese and International Economies, Elsevier, vol. 9(1), pages 29-55, March.
- Benhabib, Jess & Nishimura, Kazuo, 1998.
"Indeterminacy and Sunspots with Constant Returns,"
Journal of Economic Theory,
Elsevier, vol. 81(1), pages 58-96, July.
- Bian, Yong & Meng, Qinglai, 2004. "Preferences, endogenous discount rate, and indeterminacy in a small open economy model," Economics Letters, Elsevier, vol. 84(3), pages 315-322, September.
- Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-17, June.
- Jess Benhabib & Roger E.A. Farmer, 1992.
"Indeterminacy and Increasing Returns,"
UCLA Economics Working Papers
646, UCLA Department of Economics.
- Benhabib, Jess & Farmer, Roger E.A., 1991. "Indeterminacy and Increasing Returns," Working Papers 91-59, C.V. Starr Center for Applied Economics, New York University.
- Benhabib, J. & Farmer, R.E.A, 1991. "Indeterminacy and Increasing Returns," Papers 165, Cambridge - Risk, Information & Quantity Signals.
- Meng, Qinglai & Velasco, Andres, 2004. "Market imperfections and the instability of open economies," Journal of International Economics, Elsevier, vol. 64(2), pages 503-519, December.
- Weder, Mark, 2001.
"Indeterminacy in a Small Open Economy Ramsey Growth Model,"
Journal of Economic Theory,
Elsevier, vol. 98(2), pages 339-356, June.
- Weder, Mark, 2000. "Indeterminacy in a Small Open Economy Ramsey Growth Model," CEPR Discussion Papers 2585, C.E.P.R. Discussion Papers.
- Qinglai Meng & Andrés Velasco, 2003. "Indeterminacy in a small open economy with endogenous labor supply," Economic Theory, Springer, vol. 22(3), pages 661-669, October.
- Kim, Jinill, 2005. "Does utility curvature matter for indeterminacy?," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 421-429, August.
- King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
- Hintermaier, Thomas, 2003. "On the minimum degree of returns to scale in sunspot models of the business cycle," Journal of Economic Theory, Elsevier, vol. 110(2), pages 400-409, June.
- Roger E.A. Farmer & Jang Ting Guo, 1992.
"Real Business Cycles and the Animal Spirits Hypothesis,"
UCLA Economics Working Papers
680, UCLA Department of Economics.
- Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
- Yunfang Hu & Kazuo Mino, 2009. "Financial Integration and Aggregate Stability," Discussion Papers in Economics and Business 09-01, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
- Hu, Yunfang & Mino, Kazuo, 2013.
"Trade structure and belief-driven fluctuations in a global economy,"
Journal of International Economics,
Elsevier, vol. 90(2), pages 414-424.
- Yunfang Hu & Kazuo Mino, 2013. "Trade Structure and Belief-Driven Fluctuations in a Global Economy," KIER Working Papers 841, Kyoto University, Institute of Economic Research.
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