Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-08T10:30:47.605Z Has data issue: false hasContentIssue false

Solving Stochastic Models of Competitive Storage and Trade by Chebychev Collocation Methods

Published online by Cambridge University Press:  15 September 2016

Mario J. Miranda
Affiliation:
The Ohio State University
Joseph W. Glauber
Affiliation:
Office of the Secretary of Agriculture
Get access

Abstract

We show how to solve the stochastic spatial-temporal price equilibrium model numerically using the Chebychev collocation method. We then use the model to analyze the joint and interactive stabilizing effects of competitive storage and trade.

Type
Articles
Copyright
Copyright © 1995 Northeastern Agricultural and Resource Economics Association 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Atkinson, K.E. An Introduction to Numerical Analysis, 2nd Ed. John Wiley & Sons: New York, 1989.Google Scholar
Bale, M.D., and Lutz, E., “The Effects of Trade Intervention on International Price Instability,” American Journal of Agricultural Economics 61 (1979): 512–6.Google Scholar
Bigman, D. Coping with Hunger: Toward a System of Food Security and Price Stability. Cambridge, Massachusetts: Balinger Publishing Co., 1982.Google Scholar
Gardner, B.L. Optimal Stockpiling of Grain. Lexington, MA: Lexington Books, 1979.Google Scholar
Grinois, E.L. Uncertainty and the Theory of International Trade. New York: Harwood Academic Publishers, 1988.Google Scholar
Josephy, N.H.Newton's Method for Generalized Equations,” Technical Summary Report No. 1965, Mathematical Research Center, University of Wisconsin-Madison, May 1979. Available from National Technical Information Service under accession No. A077 096.Google Scholar
Judd, K.L. Numerical Methods in Economics. Manuscript, Hoover Institution, Stanford University. December 1991.Google Scholar
Judd, K.L.Projection Methods for Solving Aggregate Growth Models.” Journal of Economic Theory 58 (1992): 410–52.Google Scholar
Miranda, M.J.Numerical Solution Strategies for the Nonlinear Rational Expectations Commodity Storage Model,” Unpublished working paper, Department of Agricultural Economics, The Ohio State University, May 1994.Google Scholar
Muth, J.F.Rational Expectations and the Theory of Price Movements.” Econometrica 29 (1961): 315–35.Google Scholar
Newbery, D.M.G. and Stiglitz, J.E., The Theory of Commodity Price Stabilization. New York: Oxford University Press, 1981.Google Scholar
Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd Ed. Cambridge: Cambridge University Press, 1992.Google Scholar
Takayama, T. and Judge, G.G., “Equilibrium Among Spatially Separated Markets: A Reformulation,” Econometrica 32 (1964): 510–24.Google Scholar
Williams, J.C. and Wright, B.D., Storage and Commodity Markets. Cambridge, MA: Cambridge University Press, 1991.Google Scholar
Wright, B.D. and Williams, J.C., “The Welfare Effects of the Introduction of Storage,” Quarterly Journal of Economics 99 (1984): 602–14.Google Scholar