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Equilibrium price dynamics in an overlapping-generations exchange economy

Brito, Paulo and Dilao, Rui (2006): Equilibrium price dynamics in an overlapping-generations exchange economy. Unpublished.

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Abstract

We present a continuous time overlapping generations model for an endowment Arrow-Debreu economy with an age-structured population. For an economy with a balanced growth path, we prove that Arrow-Debreu equilibrium prices exist, and their dynamic properties are age-dependent. Our model allows for an explicit dependence of prices on critical age-specific endowment parameters. We show that, if endowments are distributed earlier than some critical age, then speculative bubbles for prices do exist.

Item Type:MPRA Paper
Language:English
Keywords:Arrow-Debreu equilibrium; overlapping generations models; McKendrick model
Subjects:G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates
D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D51 - Exchange and Production Economies
J - Labor and Demographic Economics > J1 - Demographic Economics > J10 - General
ID Code:699
Deposited By:Rui Dilao
Deposited On:08. Nov 2006
Last Modified:25. Jul 2011 16:28
References:

Azariadis, C., Bullard, J., and Ohanian, L. (2004). Trend-reverting fluctuations in the life-cycle model. Journal of Economic Theory, 119: 334--356.

Balasko, Y. and Shell, K. (1980). The overlapping-generations model, {I}: The case of pure exchange without money. Journal of Economic Theory, 23: 281--306.

Beaudry, P., Collard, F., and Green, D.A. (2005). Demographics and recent productivity performance: insights from cross-country comparisons. Canadian Journal of Economics, 38(2): 309--344.

Blanchard, O.J. (1985). Debt, Deficits and Finite {H}orizons. Journal of Political Economy, 93(2): 223--47.

Bommier, A. and Lee, R. D. (2003). Overlapping Generations Models with Realistic Demography: Statics and Dynamics. Journal of Population Economics, 16: 135--60.

Boucekkine, R., de la Croix, D., and Licandro, O. (2002). Vintage human capital, demographic trends and endogenous growth. Journal of Economic Theory, 104: 340--75.

Cass, D. and Yaari, M.E. (1967). Individual saving, aggregate capital accumulation, and efficient growth. In Shell, K., editor, Essays on the Theory of Optimal Economic Growth}, pages 233--268. MIT Press.

Corless, R.M., Gonnet, G., Hare, D. E.~G., Jeffrey, D.J., and Knuth, D.E. (1996). On the Lambert ${W}$ Function. Advances in Computational Mathematics, 5: 329--59.

Cushing, J.M. (1998). An introduction to structured population dynamics. SIAM, Philadelphia.

d'Albis, H. and Augeraud-Veron, E. (2004). Competitive growth in a life-cycle model: existence and dynamics. ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/V04016.pdf.

Demichelis, S. and Polemarchakis, H.M. (2006). The determinacy of equilibrium in economies of overlapping generations. Economic Theory, forthcoming.

Diamond, P.A. (1965). National Debt in a Neoclassical Growth Model. American Economic Review, 55(5): 1126--1150.

Dilao, R. (2006). Mathematical models in population dynamics and ecology. In Misra, J.C., editor, Biomathematics: Modelling and Simulation. World Scientific.

Fair, R.C. and Dominguez, K.M. (1991). Effect of Changing U.S. Age Distribution on Macroeconomic Equations. American Economic Review, 81(5): 1276--1294.

Gale, D. (1973). Pure exchange equilibrium of dynamic economic models. J. Econ. Theory, 6: 12--36.

Galor, O. and Weil, D. (2000). Population, Technology, and Growth: From the Malthusian Regime to the Demographic Transition and Beyond. American Economic Review, 90(4): 806--828.

Geanakoplos, J., Magill, M., and Quinzii, M. (2004). Demography and the long-run predictability of the stock market. Brookings Papers on Economic Activity, 1, 241-307.

Geanakoplos, J.~D. and Polemarchakis, H.M. (1991). Overlapping generations. In Hildenbrand, W. and Sonnenschein, H., editors, Handbook of Mathematical Economics, volume IV, pages 1899--1960. North Holland.

Lanczos, C. (1970). The variational principles of mechanics. University of Toronto Press, Toronto.

LeRoy, S. F. (2004). Rational exuberance. Journal of Economic Literature, 42: 783-804.

Lindh, T. and Malmberg, B. (1999). Age Structure Effects and Growth in the OECD, 1950-90. Journal of Population Economics, 12: 431--99.

McKendrick, A.~G. (1926). Applications of mathematics to medical problems. Proceedings of the Edinburgh Mathematical Society, 44: 98--130.

Poterba, J. M. (2001). Demographic structure and asset returns. Review of Economic and Statistics, 83: 565--584.

Radner, R. (1972). Existence of equilibrium of plans, prices, and price expectations in a sequence of markets, Econometrica, 40: 289--303.

Samuelson, P.A. (1958). An Exact Consumption-Loan Model of Interest with or Without the Social Contrivance of Money. Journal of Political Economy, 66(6): 467--82.

Shell, K. (1971). Notes on the economics of infinity. Journal of Political Economy, 79: 1002--1011.

Webb, G.F. (1985). Theory of Nonlinear Age-Dependent Population Dynamics. Marcel Dekker Inc., New York.

Yaari, M.E. (1965). Uncertain Lifetime, Life Insurance, and the Theory of Consumer. Review of Economic Studies, 32: 137--50.

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