Abstract
Various authors have investigated the dynamic theory of factor demands by considering the “costs of adjustment” faced by the firm. See Eisner and Strotz [5], Treadway [15], Lucas [8], Lucas and Prescott [9], Mortensen [12], Brock and Scheinkman [3] and Scheinkman [14]. In such models the firm maximizes the present value of its profit stream under the constraint that changing the levels of factor inputs involves costs of adjustment. One can then obtain optimal time paths for investments, that is for the accumulation or decumulation of the stocks of factor inputs. Under certain assumptions on the structure of the model, the optimal time paths of the stock of factors asymptotically approach some long-run equilibrium value. In particular Brock and Scheinkman [3] and Scheinkman [14] have studied conditions under which factor levels globally converge to some steady state equilibrium.
We are grateful to Professors W. A. Brock and M. J. P. Magill for suggestions and constant encouragement. Also, we would like to thank Cyrus Sorooshian for his help with the innumerable calculations in the paper.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arnold, V. I., “Lectures on Bifurcation and Versal Families,” Russian Mathematical Surveys, 27 (1972), 54–123.
Benhabib, J. and K. Nishimura, “The Hopf Bifurcation and the Existence and Stability of Closed Orbits in Multi-Sector Models of Optimal Economic Growth,” Journal of Economic Theory, 21 (1979), 421–444.
Brock, W. A. and J. A. Scheinkman, “On the Long-Run Behavior of a Competitive Firm,” in Equilibrium and Disequilibrium in Economic Theory, ed. G. Schwödiauer, D. Reidel Publishing Company, Dordrecht, Boston, 1978.
Bruslinskaya, N. N., “Qualitative Integration of a System of n Differential Equations in a Region Containing a Singular Point and a Limit Cycle,” Society Mathematics Doklady, 2 (1961), 9–12.
Eisner, R. and R. Stroz, “Determinants of Business Investment,” in Impacts of Monetary Policy (Commission on Money and Credit), Prentice-Hall, Englewood Cliffs, N.J., 1963
Hirch, M. W. and S. Smale, Differential Equations, Dynamical Systems and Linear Algebra, Academic Press, New York, 1974.
Hopf, E., “Bifurcation of a Periodic Solution From a Stationary Solution of a System of Differential Equations,” in J. E. Marsden and M. McCracken, The Hopf Bifurcation and Its Applications, Springer-Verlag, New York, 1976.
Lucas, R. E., “Optimal Investment Policy and the Flexible Accelerator,” International Economic Review, 8 (1967), 78–85.
Lucas, R. E. and E. C. Prescott, “Investment Under Uncertainty,” Econometrica, 44 (1976), 841–865.
Magill, M. J. P., “On Cyclical Motion in Dynamic Economics,” Journal of Economics, Dynamics and Contr 1, 1 (1979), 199–218.
Marsden, J. E. and M. McCracken, The Hopf Bifurcation and Its Applications, Applied Mathematical Sciences, No. 10, Springer-Verlag, New York, 1976.
Mortensen, D. T., “Generalized Costs of Adjustment and Dynamic Factor Demand Theory,” Econometrica, 41 (1973), 657–665.
Pitchford, J. D. and S. J. Turnovsky, Applications of Control Theory to Economic Analysis, North-Holland, New York, 1977.
Scheinkman, J. A., “Stability of Separable Hamiltonians and Investment Theory,” Review of Economic Studies, 45 (1978), 559–570.
Treadway, A. B., “The Rational Multivariate Flexible Accelerator,” Econometrica, 39 (1971), 845–855.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Benhabib, J., Nishimura, K. (1984). Cyclical Input Demands and the Adjustment Cost Theory of the Firm. In: Goodwin, R.M., Krüger, M., Vercelli, A. (eds) Nonlinear Models of Fluctuating Growth. Lecture Notes in Economics and Mathematical Systems, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45572-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-45572-8_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13349-0
Online ISBN: 978-3-642-45572-8
eBook Packages: Springer Book Archive