Abstract
We present a one-sector growth model with finitely many households who differ from each other with respect to their endowments, their preferences, and the type of capital supplied to firms. There is monopolistic competition on the capital market and perfect competition on all other markets. We show that there exists a unique stationary equilibrium and that all households have strictly positive wealth in this equilibrium. We study how the stationary equilibrium depends on the time-preference rates of the households and on the elasticity of substitution between different types of capital. We also analyze the stability of the stationary equilibrium.
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References
Aghion, P., and Howitt, P.: A model of growth through creative destruction. Econometrica 60: 323–351, 1992.
Becker, R.: On the long-run steady state in a simple dynamic model of equilibrium with heterogeneous households. Quarterly Journal of Economics 95: 375–382, 1980.
Becker, R.: Stationary strategic Ramsey equilibrium. Working Paper, Department of Economics, Indiana University, Bloomington, 2003.
Bewley, T.: An integration of equilibrium theory and turnpike theory. Journal of Mathematical Economics 10: 233–267, 1982.
Dixit, A., and Stiglitz, J.: Monopolistic competition and optimum product diversity. American Economic Review 67: 297–308, 1977.
Ethier, W.: National and international returns to scale in the modern theory of international trade. American Economic Review 72: 389–405, 1982.
Grossman, G., and Helpman, E.: Innovation and Growth in the Global Economy. MIT Press, 1991.
Hardy G., Littlewood J., and Polya, G.: Inequalities, 2nd ed. Cambridge University Press, 1952.
Ramsey, F.: A mathematical theory of saving. Economic Journal 38: 543–559, 1928.
Romer, P.: Endogenous technological change. Journal of Political Economy 98: S71–S102, 1990.
Sorger G.: On the long-run distribution of capital in the Ramsey model. Journal of Economic Theory 105: 226–243, 2002.
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© 2005 Springer
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Sorger, G. (2005). Differentiated Capital and the Distribution of Wealth. In: Deissenberg, C., Hartl, R.F. (eds) Optimal Control and Dynamic Games. Advances in Computational Management Science, vol 7. Springer, Boston, MA. https://doi.org/10.1007/0-387-25805-1_11
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DOI: https://doi.org/10.1007/0-387-25805-1_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-25804-1
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