Abstract
The theory of feedback and optimal control, originally developed for and applied most successfully in physical and engineering systems, has found many applications in dynamic economics for over two decades. Our understanding and analysis of the dynamic economic systems in the form of difference or differential equations in time have been greatly enhanced by developments in control theory, specifically in three particular areas: (a) the theory of economic policy, which deals with the problem of choosing optimal instruments or controls, (b) the method of structural economic analysis in a model, which deals with alternative forms of specification of an econometric model and its implicit and explicit constraints, and (c) the theory of econometric estimation, which seeks to derive in some sense optimal estimates of parameters of dynamic models from given observations.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Allen, R.G.D. Macroeconomic Theory: A Mathematical Treatment. Macmillan: London, 1. 967
Arnold,, L. Stochastic Differential Equations: Theory and Applications., John Wiley:: New York,, 1974
Bain, I.S. A Note on Pricing in Monopoly and Oligopoly,. American Economic Review,. 39 (1949), 448–464
Caines, P.E., and C.W, Chan.. Feedback Between. Stationary Stochastic Processes,.. IEEE, Transactions on Automatic Control.,, 20 (1975),, 49. 8–508
Chow, G.C. ‘Econometric Analysis by Control’. Methods. John Wiley: New York, 1981
Chow, G.C. Effect of Uncertainty on Optimal Control Policies. International Economic Review, 14 (1973), 63. 2–645
Chow, G.C. Estimation and Optimal Control of Models of Dynamic Games, in Deistler, M. et a.L, eds. Games, Economic Dynamics and Time: Series Analysis. Physica Verlag: Wurzburg, Austria, 1982
Chu, K. Comparison of Information Structures in Decentralized Dynamic Systems, in Y.C. Ho and S.K. Mltter, eds., Directions in Large Scale Systems. Plenum. Press: New York, 1976
Dolezal, J., Optimal Parameter Estimation in Two-Player Zero-Sum. Differential Games. Transactions of the Eighth Prague Conference on Information Theory, Statistical. Decision. Functions and. Random Processes,. D. Reidel: Dordrecht, Holland, 1. 978
Eckstein,, O. Economic Theory and Econometric Models, in Kmenta, J. and J.B. Ramsey, eds. Large-Scale Macro-Econometric Models. North. Holland: Amsterdam., 1981
Fleming, W.H. Optimal Control of Diffusion Processes, in J.B. Keller and H.P. McKean, eds. Stochastic Differential Equations. American Mathematical Society: Providence, Rhode Island, 1972
Gaskins, D.W. Dynamic Limit Pricing: Optimal Pricing under Threat of Entry. Journal of Economic Theory, 3 (1971), 306–322
Geweke, J. Testing the Exogeneity Specification in the Complete Dynamic Simultaneous Equation Model. Journal of Econometrics, 7 (1978), 163–185
Granger, C.W.J. Investigating Causal Relations by Econometric Models and Cross- Spectral Methods. Econometrics, 37 (1969), 424–438
Hansen, L. and T. Sargent. Formulating and Estimating Dynamic Linear Rational Expectations Models: Journal of Economic Dynamics and Control, 2 (1980), 7–46
Hartley, H.O. Statistics as a Science and as a Profession (Presidential Address). Journal of the American Statistical Association, 75 (1980), 1–7
Johansen, L. Econometric Models and Economic Planning and Policy: Some Trends and Problems. Institute of Economics, University of Oslo: Norway, 1982
Kendrick, D. Stochastic Control for Economic Models. McGraw Hill: New York, 1981
Kendrick, D. Control Theory with Applications to Economics, in K.J. Arrow and M.D. Intriligator, eds. Handbook of Mathematical Economics, Vol. I. North Holland: Amsterdam, 1981
Kydland, F. Noncooperative and Dominant Player Solutions in Discrete Dynamic Games. International Economic Review, 16 (1975), 321–351
Kydland, R.E. and E.C. Prescott. Rules Rather Than Discretion: The Inconsistency of Optimal Plans. Journal of Political Economy, 85 (1977), 473–491
Landsburg, S.E. Algebraic Geometry and the Business Cycle, in P.E. Gaines and R. Hermann, eds. Geometry and Identification. Math Science Press: Massachusetts, 1983
Leondes, C.T. and T.K. Siu. Parameter Optimization for Linear Quadratic Differential Games. Trans. ASME 99 (1977), Series G. No. 1, 58–62
Levhari, D. and L.J. Mirman. The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution. Bell Journal of Economics, 12 (1981), 57–65
Lucas, R.E., Jr. Econometric Policy Evaluation: A Critique, in K. Brunner and A.H. Meltzer, eds. The Phillips Curve and Labor Markets. North Holland: Amsterdam, 1976
Malliaris, A.G. and W.A. Brock. Stochastic Methods in Economics and Finance. North Holland: Amsterdam, 1982
Merton, R.C. Optimum Consumption and Portfolio Rules in a Continuous Time Model. Journal of Economic Theory, 3 (1971), 373–413
Pearson, J.O. Estimation of Uncertain Systems, in C.T. Leondes, ed. Control and Dynamic Systems, Vol. 10. Academic Press: New York, 1973
Phillips, A.W. Stabilization Policy in a Closed Economy. Economic Journal, 64 (1954), 290–323
Ross, S.M. Stochastic Processes. John Wiley: New York, 1983
Sage, A.P. Variational Methods in Adaptive Filtering, in J.S. Rustagi, ed. Optimizing Methods in Statistics. Academic Press: New York, 1971
Sargent, T.J. Interpreting Economic Time Series. Journal of Political Economy, 89 (1981), 213–248
Sengupta, J.K. and Sfeir, R.E. Control Theory Models in World Coffee: Some Empirical Tests. International Journal of Systems Science, 14 (1983), 811–828
Sengupta, J.K., Leonard, J., and Vanyo, J. A Limit Pricing Model for U.S. Computer Industry: An Application. Applied Economics, 15 (1983), 297–308
Sheffrin, S.M. Rational Expectations. Cambridge University Press: Cambridge, England, 1983
Sims, C. Macroeconomics and Reality. Econometrica, 48 (1980), 1–48
Soong, T.T. Random Differential Equations in Science and Engineering. Academic Press: New York, 1973
Tintner, G. and J.K. Sengupta. Stochastic Economics: Stochastic Processes, Control and Programming. Academic Press: New York, 1972
Weiner, N. The Theory of Prediction, in E.F. Beckenback, ed. Modern Mathematics for Engineers (Series I). McGraw Hill: New York, 1956, Chap. 8.
Whittle, P. Why Predict? Prediction as an Adjunct to Action, in O.D. Anderson, ed. Forecasting. North Holland: Amsterdam, 1979
Wold, H. Construction Principles of Simultaneous Equation Models in Econometrics. Bulletin of International Statistical Institute, 38 (1960), 111–138
Rights and permissions
Copyright information
© 1985 Martinus Nijhoff Publishers, Dordrecht
About this chapter
Cite this chapter
Sengupta, J.K. (1985). Stochastic models in dynamic economics: problems of time inconsistency, causality and estimation. In: Information and Efficiency in Economic Decision. Advanced Studies in Theoretical and Applied Econometrics, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5053-5_12
Download citation
DOI: https://doi.org/10.1007/978-94-009-5053-5_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8737-7
Online ISBN: 978-94-009-5053-5
eBook Packages: Springer Book Archive