Abstract
Considerable methodological advances have been made in economics in the last few decades. They are mostly of a quantitative nature in that they provide a numerical representation of the working of the economy or part of the economy. Such representations are valuable from a scientific viewpoint and essential for the making of informed policy decisions. Indeed, the desire of decision makers in government and industry to have this numerical information is one cause of the subject’s rapid development Other causes are the advances in computer technology, the availability of large data bases, and the increased emphasis on mathematical topics in graduate economics training. A comprehensive survey of these developments is not feasible within the available space. We have selected the topic of economic equation systems, which provides the opportunity for a relatively coherent treatment. Section 2 gives an elementary account of the simultaneous equation model and section 3 describes applications of this model to the economy as a whole. Section 4 deals with the system-wide approach to microeconomics. This approach is also “simultaneous” in nature, but it focuses on particular segments of the economy such as consumer spending, yielding systems of consumer demand equations.
This article originally appeared in H. Theil and K.W. Clements, “Recent Methodological Advances in Economic Equations Systems”, American Behavioral Scientist, 23, No. 6, 789-809, copyright © 1980 by Sage Publications Inc. Reprinted with the permission of Sage Publications Inc. The authors would like to acknowledge helpful discussions with and comments by our colleagues John Bilson, William Dougan, Allan Drazen, Jacob Frenkel, Kenneth Laitinen and Michael Mussa. Mr. Stephen Hale provided useful research assistance. Editor’s Note: Some references in the original that were incompletely documented have been deleted to avoid confusion. These references were dropped in consultation with K.W. Clements.
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References
Barnett, W.A.: 1981, Consumer Demand and Labor Supply: Goods, Monetary Assets, and Time, North Holland, Amsterdam.
Barnett, W.A.: 1979, “Theoretical Foundations for the Rotterdam Model,” Rev. of Econ. Studies, 46, 109–130.
Barten, A.P.: 1977, “The Systems of Consumer Demand Functions Approach: A Review,” Econometrica, 45, 23–51.
Barten, A.P.: 1971, “An Import Allocation Model for the Common Market,” Cahiers Economiques de Bruxelles, 50, 3–14.
Basmann, R.L.: 1957, “A Generalized Classical Method of Linear Estimation of Coefficients in a Structural Equation,” Econometrica, 25, 77–83.
Bergstrom, A.R. and C.R. Wymer: 1976, “A Model of Disequilibrium Neoclassical Growth and Its Application to the United Kingdom,” in A.R. Bergstrom (ed.) Statistical Inference in Continuous Time Econometric Models, North Holland, Amsterdam.
Brillenbourg, A. and S.M. Schadler: 1979, “A Model of Currency Substitution in Exchange Rate Determination, 1973–1978,” IMF Staff Papers, 26, 513–542, Washington, D.C.
Brown, A. and A. Deaton: 1972, “Surveys in Applied Economics: Models of Consumer Behavior,” Economic Journal, 82, 1145–1236.
Brundy, J.M., and D.W. Jorgenson: 1971, “Efficient Estimation of Simultaneous Equations by Instrumental Variables,” Rev. of Economics and Statistics, 53, 207–244.
Chow, G.C.: 1975, Analysis and Control of Dynamic Systems, John Wiley, New York.
Christ, C.F.: 1975, “Judging the Performance of Econometric Models of the U.S. Economy,” Int. Econ. Rev., 16, 54–74.
Chrystal, K.A.: 1977, “Demand for International Media of Exchange,” Amer. Econ. Rev., 67, 840–850.
Clements, K.W.: 1980, “An Aggregative Multiproduct Supply Model,” European Econ. Rev., 13, 239–245.
Clements, K.W.: 1976, “A Linear Allocation of Spending-Power System: A Consumer Demand and Portfolio Model,” Economic Record, 52, 182–198.
Clements, K.W. and H. Theil: 1979, A Cross-Country Analysis of Consumption Patterns, Report 7924 of the Center for Mathematical Studies in Business and Economics, University of Chicago.
Clements, K.W.: 1978, “A Simple Method of Estimating Price Elasticities in International Trade,” Economics Letters, 1, 133–137.
Clements, K.W., M. Evans, D.S. Ironmonger, and A.A. Powell: 1978, “A Linear Expenditure System with Adjustment Costs,” Economic Record, 54, 321–333.
Deaton, A.: 1977, “Equity, Efficiency and the Structure of Indirect Taxation,” J. of Public Economics, 8, 299–312.
Deaton, A.: 1975, Models and Projections of Demand in Post-War Britain, Chapman and Hall, London.
Dhrymes, P.J.: 1971, “A Simplified Structural Estimator for Large-Scale Econometric Models,” Australian J. of Statistics, 13, 168–175.
Diewert, W.E.: 1974, “Intertemporal Consumer Theory and the Demand for Durables,” Econometrica, 42, 497–516.
Divisia, F.: 1925, “L’indice monétaire et la théorie de la monnaie,” Revue d’Economic Politique, 39, 980–1008.
Ferber, R. and W.Z. Hirsch: 1978, “Social Experimentation and Economic Policy: a a A Survey,” J. of Econ. Literature, 16, 1379–1414.
Fisher, F.M.: 1966, The Identification Problem in Econometrics, McGraw-Hill, New York.
Fisher, F.M.: 1965, “Dynamic Structure and Estimation in Economy-Wide Econometric Models,” in J.S. Duesenberry et al. (eds.) The Brookings Quarterly Econometric Model of the United States, North Holland, Amsterdam.
Frisch, R.: 1932, New Methods of Measuring Marginal Utility, J.C.B. Mohr, Tübingen.
Geraci, V.J. and W. Prewo: 1978, “The Supply and Demand for Bilateral Trade in a Multicountry Framework,” Discussion Paper, Department of Economics, University of Texas at Austin.
Goldberger, A.S.: 1972, “Structural Equation Methods in the Social Sciences,” Econometrica, 40, 979–1001.
Goldberger, A.S. and T. Galametsos: 1970, “A Cross-Country Comparison of Consumer Expenditure Patterns,” European Econ. Rev., 1, 357–400.
Granger, C.W.J.: 1969, “Investigating Causal Relations by Econometric Models and Cross-Spectral Methods,” Econometrica, 37, 424–438.
Haavelmo, T.: 1943, “The Statistical Implications of a System of Simultaneous Equations,” Econometrica, 11, 1–12.
Hasenkamp, G. and A.Y.C. Koo: 1978, “United States Demand for Material Imports, Distinguished by Regions of Supply,” University of Bonn and Michigan State University, (mimeo).
Haugh, L.D.: 1976, “Checking the Independence of Two Covariance-Stationary Time Series: A Univariate Residual Cross-Correlation Approach,” J. of the Amer. Stat. Assn., 71, 378–385.
Heckman, J.J.: 1978, “Dummy Endogenous Variables in a Simultaneous Equation System,” Econometrica, 46, 931–959.
Hendry, D.F.: 1976, “The Structure of Simultaneous Equations Estimators,” J. of Econometrics, 4, 51–88.
Hickman, B.G. and L.J. Lau: 1973, “Elasticities of Substitution and Export Demands in a World Trade Model,” European Econ. Rev., 4, 347–380.
Hood, W.C., and T.C. Koopmans (eds.): 1953, Studies in Econometric Method, John Wiley, New York.
Intriligator, M.D.: 1978, Econometric Models, Techniques and Applications, Prentice-Hall, Englewood Cliffs, New Jersey.
Jonson, P.D.: 1976, “Money and Economic Activity in the Open Economy: The United Kingdom, 1880–1970,” J. of Pol. Economy, 84, 979–1012.
Klein, L.R. and H. Rubin: 1948, “A Constant-Utility Index of the Cost of Living,” Rev. of Econ. Studies, 15, 84–87.
Kloek, T. and L.B.M. Mennes: 1960, “Simultaneous Equations Estimation Based on Principal Components of Predetermined Variables,” Econometrica, 28, 45–61.
Knight, M.D. and C.R. Wymer: 1978, “A Macroeconomic Model of the United Kingdom,” IMF Staff papers, 25, 742–778, Washington, D.C.
Koopmans, T.C: 1953, “Identification Problems in Economic Model Construction,” in Hood and Koopmans (eds.) Studies in Econometric Method, John Wiley, New York.
Koopmans, T.C. (ed.): 1950, Statistical Inference in Dynamic Economic Models, John Wiley, New York.
Laitinen, K. and H. Theil: 1978, “Supply and Demand of the Muitiproduct Firm,” European Econ. Rev., 11, 107–154.
Lluch, C, A.A. Powell, and R.A. Williams: 1977, Patterns in Household Demand and Saving, Oxford Univ. Press.
Lucas, R.E., Jr.: 1976, “Econometric Policy Evaluation: A Critique,” in K. Brunner and A. Meltzer (eds.) The Phillips Curve and Labor Markets, North Holland, Amsterdam.
Norton, W.E. (ed.): 1977, Conference on Applied Economic Research, Reserve Bank of Australia, Sydney, Australia.
O’Brien, J.M.: 1974, “The Covariance Measure of Substitution: An Application to Financial Assets,” Rev. of Economics and Statistics, 56, 456–467.
Parkin, M: 1970, “Discount House Portfolio and Debt Selection,” Rev. of Econ. Studies, 37, 469–497.
Pencavel, J.N.: 1977, “Constant Utility Index Numbers of Real Wages,” Amer. Econ. Rev., 67, 91–100.
Phlips, L.: 1974, Applied Consumption Analysis, North Holland, Amsterdam.
Phlips, L.: 1972, “A Dynamic Version of the Linear Expenditure System,” Rev. of Economics and Statistics, 54, 450–458.
Pierce, D.A.: 1977, “Relationships — and the Lack Thereof — Between Economic Time Series, With Special Reference to Money and Interest Rates,” J. of the Amer. Stat. Assn., 72, 11–22.
Pierce, D.A. and L.D. Haugh: 1977, “Causality in Temporal Systems: Characterizations and a Survey,” J. of Econometrics, 5, 265–293.
Pollak, R.A. and T.J. Wales: 1969, “Estimation of the Linear Expenditure System,” Econometrica, 37, 611–628.
Powell, A.A.: 1974, Empirical Analytics of Demand Systems, D.C. Heath, Lexington, Massachusetts.
ReiersØl, O.: 1945, “Confluence Analysis by Means of Instrumental Sets of Variables,” Arkiv for Mathematik, Astronomi och Fysik 32A (4).
RiersØl, O.: 1941, “Confluence Analysis by Means of Lag Moments and Other Methods of Confluence Analysis,” Econometrica, 9, 1–24.
Rosen, H.S.: 1978, “The Measurement of Excess Burden with Explicity Utility Functions,” J. of Pol. Economy, 86, 121–135.
Rothenberg, T.J.: 1971, “Identification in Parametric Models,” Econometrica, 39,577–591.
Saito, M.: 1977, “Household Flow-of-Funds Equations,” J. of Money, Credit and Banking, 9, 1–20.
Samuelson, P.A., and S. Swamy: 1974, “Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis,” Amer. Econ. Rev., 64, 566–593.
Sandmo, A.: 1976, “Optimal Taxation: An Introduction to the Literature,” J. of Public Economics, 6, 37–54.
Sargan, J.D.: 1975, “Asymptotic Theory and Large Models,” Int. Econ. Rev., 16, 75–91.
Sims, C.A.: 1972, “Money, Income, and Causality,” Amer. Econ. Rev., 62, 540–552.
Solari, L.: 1971, Théorie des choix et fonctions de consommation semi-agrégées, Librairie Droz, Geneva.
Solari, L. and J.N. Du Pasquier (eds.): 1976, Private and Enlarged Consumption, North Holland, Amsterdam.
Sowey, E.R.: 1973, “Stochastic Simulation of Macroeconomic Models: Methodology and Interpretation,” in A.A. Powell and R.A. Williams (eds.) Econometric Studies of Macro and Monetary Relations, Elsevier North-Holland, New York.
Stone, R.: 1954, “Linear Expenditure Systems and Demand Analysis: An Application to the Pattern of British Demand,” Econ. J., 64, 511–527.
Theil, H.: 1980, The System-Wide Approach to Microeconomics, Univ. of Chicago Press.
Theil, H.: 1975-1976, Theory and Measurement of Consumer Demand, North Holland, Amsterdam.
Theil, H.: 1971, Principles of Econometrics, John Wiley, New York
Theil, H.: 1964, Optimal Decision Rules for Government and Industry, North Holland, Amsterdam.
Theil, H.: 1961, Economic Forecasts and Policy, Second Edition, North Holland, Amsterdam.
Theil, H.: 1953a, “Repeated Least-Squares Applied to Complete Equation Systems,” (mimeo), Central Planning Bureau, The Hague.
Theil, H.: 1953b, “Estimation and Simultaneous Correlation in Complete Equation Systems,” (mimeo), Central Planning Bureau, The Hague.
Theil, H. and K.W. Clements: 1978, “A Differential Approach to U.S. Import Demand,” Economics Letters, 1, 249–252.
Theil, H. and K. Laitinen: 1980, “Singular Moment Matrices in Applied Econometrics,” in P.R. Krishnaiah (ed.) Multivariate Analysis — V., North Holland, Amsterdam.
Theil, H. and J.F. Meisner: 1980, “Simultaneous Equation Estimation Based on Maximum Entropy Moments,” (mimeo), University of Chicago.
Tinbergen, J.: 1952, On the Theory of Economic Policy, North Holland, Amsterdam.
Wegge, L.L.: 1965, “Identifiability Criteria for a System of Equations as a Whole,” Australian J. of Statistics, 7, 67–77.
Working, E.J.: 1927, “What do Statistical Demand Curves Show?” QJ. of Economics, 11, 218–223.
Wymer, C.R.: 1973, “A Continuous Disequilibrium Model of the United Kingdom Financial Markets,” in A.A. Powell and R.A. Williams (eds.) Econometric Studies of Macro and Monetary Relations, Elsevier North-Holland, New York.
Wymer, C.R.: 1972, “Econometric Estimation of Stochastic Differential Equation Systems,” Econometrica, 40, 565–577.
Zellner, A.: 1977, “Comments on Time Series Analysis and Causal Concepts in Business Cycle Resarch,” in New Methods in Business Cycle Research: Proceedings of a Conference, Federal Reserve Bank of Minneapolis.
Zellner, A.: 1975, “Time Series Analysis and Econometric Model Construction,” in R.P. Gupta (ed.) Applied Statistics, North Holland, Amsterdam.
Zellner, A. and F. Palm: 1975, “Time Series and Structural Analysis of Monetary Models of the U.S. Economy,” Sankhyā, 37, 12–56.
Zellner, A.: 1974, “Time Series Analysis and Simultaneous Equation Econometric Models,” J. of Econometrics, 2, 17–54.
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Theil, H., Clements, K.W. (1992). Recent Methodological Advances in Economic Equation Systems. In: Raj, B., Koerts, J. (eds) Henri Theil’s Contributions to Economics and Econometrics. Advanced Studies in Theoretical and Applied Econometrics, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2546-8_12
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