Zhang, Yan (2008): Does the utility function form matter for indeterminacy in a two sector small open economy? Published in: Annals of Economics and Finance (May 2008)
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In 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.
|Item Type:||MPRA Paper|
|Original Title:||Does the utility function form matter for indeterminacy in a two sector small open economy?|
|Keywords:||Indeterminacy, Endogenous time preference|
|Subjects:||F - International Economics > F4 - Macroeconomic Aspects of International Trade and Finance
E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles
|Depositing User:||Yan Zhang|
|Date Deposited:||30. Aug 2008 09:33|
|Last Modified:||12. Feb 2013 08:23|
1. Benhabib, J., Farmer, R.E., 1994. Indeterminacy and increasing returns. Journal of Economic Theory 63, 19--41.
2. Benhabib, J., Farmer, R.E., 1996. Indeterminacy and sector specific externalities. Journal of Monetary Economics 37, 421--443.
3. Benhabib, J., Farmer, R.E., 1999. Indeterminacy and sunspots in macroeconomics. In: Taylor, J.B., Woodford, M. (Eds.), Handbook of Macroeconomics, vol. 1A. North-Holland, New York, pp. 387--448
4. Benhabib, J., Nishimura, K., 1998. Indeterminacy and sunspots with constant returns. Journal of Economic Theory 81, 58--96.
5. Bennett, R.L., Farmer, R.E.A., 2000. Indeterminacy with non-separable utility. Journal of Economic Theory 93.
6. Campbell, J., Cochrane, J., 1999. By force of habit: a consumption based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205--251.
7. Farmer, R.E.A., Guo Jang-Ting, 1994. Real Business Cycles and the Animal Spirits Hypothesis. Journal of Economic Theory 62, No. 1, 42--72
8. Greenwood, Jeremy, Hercowitz, Zvi and Huffman, Gregory W. , 1998. Investment, Capacity Utilization, and the Real Business Cycles," American Economic Review, 78, 402-17
9. Hintermaier, T., 2003. On the minimum degree of returns to scale in sunspot models of the business cycle. Journal of Economic Theory 110, 400-409.
10. Kim Jinill, 2005. Does utility curvature matter for indeterminacy? Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 421-429.
11. 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.
12. Lucio Sarno, 2001. Toward a new paradigm in open economy modeling: where do we stand? The Regional Economist.
13. Mendoza, E., Uribe M., 1999. The business cycles of balance Of payment crises: a revision of Mundellian Framework. nber workingpaper 7045.
14. Meng, Q., Velasco, A., 2003. Indeterminacy in a small open economy with endogenous labor supply. Economic Theory 22, 661--670.
15. Meng, Q., Velasco, A., 2004. Market imperfections and the instability of open economies. Journal of International Economics 64, 503-19.
16. Schmitt-Grohe, S., Uribe M, 2002, Closing small open economy models. Journal of International Economics 61, 163-185
17. Turnovsky Stephen and Sen Partha 1995, Investment in a two sector dependent economy. Journal of the Japanese and International Economics 9, 29-55
18. Uzawa, 1968, Time preference, consumption function, and optimum asset holdings. In Wolfe, J.N(Ed): Value, Capital and Growth: Papers in honour of Sir John Hicks. University of Edinburgh Press, Edinburgh, pp 485-504
19. Weder, M., 2001, Indeterminacy in the small open economy Ramsey growth model. Journal of Economic Theory 98, 339-356
20. Yong Bian, Qinglai Meng (2004), Preferences, endogenous discount rate, and indeterminacy in a small open economy model, Economics Letters 84 315--322