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MICROPRODUCTION FUNCTIONS WITH UNIQUE COEFFICIENTS AND ERRORS: A RECONSIDERATION AND RESPECIFICATION

Published online by Cambridge University Press:  11 September 2013

P.A.V.B. Swamy ,
G.S. Tavlas  and
S.G. Hall
P.A.V.B. Swamy*
Affiliation:
Federal Reserve Board
G.S. Tavlas
Affiliation:
Bank of Greece
S.G. Hall
Affiliation:
Leicester University Bank of Greece and NIESR
*
Address correspondence to: Swamy Paravastu, Retired, 6333 Brocketts Crossing, Kingstowne, VA 22315, USA; e-mail: [email protected].
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Abstract

Estimated microproduction functions confront two major problems—those of (1) unknown functional forms and (2) the measurement of capital independent of the distribution of output among the factors of production. The latter problem has emerged unresolved from the earlier Cambridge capital controversy. In the presence of these two problems, all specifications of microproduction functions have involved nonunique coefficients and error terms. We provide a method of deriving time-varying coefficients that produces unique coefficients and error terms. Specifically, we respecify the microproduction function in such a way that its coefficients are the sums of (i) the appropriate partial derivatives and (ii) exact representations of excluded-variable biases. By decomposing the total coefficients, we obtain the unique coefficients and a unique error term. Our treatment of heterogeneous capital is not subject to the criticisms of that concept that emerged during the Cambridge controversy.

Keywords

Microproduction FunctionCorrect Functional FormCambridge Capital ControversyMeasurement ErrorSufficient Set of Excluded Regressors
Type
Articles
Information
Macroeconomic Dynamics , Volume 19 , Issue 2 , March 2015 , pp. 311 - 333
Copyright
Copyright © Cambridge University Press 2013 

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References

REFERENCES

Basmann, R.L. (1988) Causality tests and observationally equivalent representations of econometric models. Journal of Econometrics 39, 69–104.Google Scholar
Blazek, D. and Sickles, R.C. (2010) The impact of knowledge accumulation and geographical spillovers on productivity and efficiency: The case of U. S. shipbuilding during WWII. Economic Modelling 27, 1484–1497.CrossRefGoogle Scholar
Clarida, R., Gali, J., and Gertler, M. (1999) The science of monetary policy: A New-Keynesian perspective. Journal of Economic Literature 37, 1661–1707.CrossRefGoogle Scholar
Cohen, A.J. and Harcourt, G.C. (2003) Whatever happened to the Cambridge capital theory controversies? Journal of Economic Perspectives 17, 199–214.Google Scholar
Diewert, W.E. (1971) An application of the Shephard duality theorem: Generalized Leontief production function. Journal of Political Economy 79, 481–507.Google Scholar
Felipe, J. and Fisher, F.M. (2003) Aggregation in production functions: What applied economists should know. Metroeconomica 54, 208–262.CrossRefGoogle Scholar
Fisher, F.M. (2005) Aggregate production functions—A pervasive, but unpersuasive, fairytale. Eastern Economic Journal 31, 489–491.Google Scholar
Garegnani, P. (1970) Heterogeneous capital, the production function and the theory of distribution. Review of Economic Studies 37, 407–436.Google Scholar
Garegnani, P. (1990) Quantity of capital. In Eatwell, J., Milgate, M., and Newman, P. (eds.), The New Palgrave: Capital Theory, pp. 1–78. London: Macmillan.Google Scholar
Greene, W.H. (2008) Econometric Analysis, 6th ed.Upper Saddle River, NJ: Pearson/Prentice Hall.Google Scholar
Griliches, Z. (1977) Estimating the returns to schooling: Some econometric problems. Econometrica 45, 1–22.Google Scholar
Hall, S.G., Hondroyiannis, G., Kenjegaliev, A., Swamy, P.A.V.B., and Tavlas, G.S. (in press) Is the relationship between prices and exchange rates homogenous? Journal of International Money and Finance.Google Scholar
Hall, S.G., Kenjegaliev, A., Swamy, P.A.V.B., and Tavlas, G.S. (2013a) Measuring currency pressures: The cases of the Japanese yen, the Chinese yuan, and the U.K. pound. Journal of the Japanese and International Economies 29, 1–20.Google Scholar
Hall, S.G., Kenjegaliev, A., Swamy, P.A.V.B., and Tavlas, G.S. (2013b) The forward rate premium puzzle: A case of misspesification? Studies in Nonlinear Dynamics and Econometrics 17, 265–281.Google Scholar
Harcourt, G.C. (2007) The relevance of the Cambridge–Cambridge controversies in capital theory for econometrics practice. In Arestis, P., Baddeley, M., and McCombie, J.S.L. (eds.), Economic Growth: New Directions in Theory and Policy, pp. 117–135. Cheltenham, UK: Edward Elgar.Google Scholar
Kydland, F. and Prescott, E. (1982) Time to build and aggregate fluctuations. Econometrica 50, 1345–1371.Google Scholar
Laing, D., Li, V., and Wang, P. (2013) Decentralized exchange and factor payments: A multiple-matching approach. Macroeconomic Dynamics 17, 54–88.Google Scholar
Lazzarini, A. (2008) The Cambridge Capital Controversy in Historical Perspective and Some Unsettled Analytical Issues. Unpublished manuscript.Google Scholar
McDonald, S. and Zhang, J. (2012) Income inequality and economic growth with altruistic bequests and human capital investment. Macroeconomic Dynamics 16, 331–354.Google Scholar
Moro, A. (2012) Biased technical change, intermediate goods and total factor productivity. Macroeconomic Dynamics 16, 184–203.Google Scholar
Pasinetti, L. and Scazzieri, R. (2008) Capital theory (paradoxes). In Durlauf, S. and Blume, L. (eds.), The New Palgrave Dictionary of Economics, Vol. 1, pp. 675–683. London: MacMillan.Google Scholar
Pearl, J. (2000) Causality. Cambridge, UK: Cambridge University Press.Google Scholar
Petri, F. (2004) General Equilibrium, Capital and Macroeconomics. Northampton, MA: Edward Elgar.Google Scholar
Photphisutthiphong, N. and Weder, M. (2012) A note on capital–labor substitution, sector-specific externalities and indeterminacy. Macroeconomic Dynamics 16, 411–421.Google Scholar
Pratt, J.W. and Schlaifer, R. (1984) On the nature and discovery of structure. Journal of the American Statistical Association 79, 9–21, 29–33.Google Scholar
Pratt, J.W. and Schlaifer, R. (1988) On the interpretation and observation of laws. Journal of Econometrics, Annals 39, 23–52.Google Scholar
Robinson, J. (1953–1954) The production function and the theory of capital. Review of Economic Studies 21, 81–106.CrossRefGoogle Scholar
Samuelson, P.A. (1962) Parable and realism in capital theory: The surrogate production function. Review of Economic Studies 29, 193–206.Google Scholar
Samuelson, P.A. (1966) A summing up. Quarterly Journal of Economics 80, 568–583.Google Scholar
Skyrms, B. (1988) Probability and causation. Journal of Econometrics, Annals 39, 53–68.CrossRefGoogle Scholar
Sraffa, P. (1960) Production of Commodities by Means of Commodities: Prelude to a Critique of Economic Theory. Cambridge, UK: Cambridge University Press.Google Scholar
Sraffa, P. (1961) Comment. In Lutz, F.A. and Hague, D.C. (eds.), The Theory of Capital, pp. 305–306, 325–326. London: Macmillan.Google Scholar
Swamy, P.A.V.B. and Hall, S.G. (2012) Measurement of causal effects. Economic Change and Restructuring 45, 3–23.Google Scholar
Swamy, P.A.V.B., Mehta, J.S., Tavlas, G.S., and Hall, S.G.F. (in press) Small area estimation with correctly specified linking models. In Ma, J. and Wohar, M.E. (eds.), Recent Advances in Estimating Nonlinear Models. New York: Springer.Google Scholar
Swamy, P.A.V.B. and Tavlas, G.S. (2005) Theoretical conditions under which monetary policies are effective and practical obstacles to their verification. Economic Theory 25, 999–1005.Google Scholar
Swamy, P.A.V.B. and Tavlas, G.S. (2007) The New Keynesian Phillips curve and inflation expectations: Re-specification and interpretation. Economic Theory 31, 293–306.Google Scholar
Swamy, P.A.V.B., Tavlas, G.S., Hall, S.G.F., and Hondroyiannis, G. (2010) Estimation of parameters in the presence of model misspecification and measurement error. Studies in Nonlinear Dynamics and Econometrics 14, 1–33.Google Scholar
Woodford, M. (2003) Interest and Prices: Foundations of a Theory of Monetary Policy. Princeton, NJ: Princeton University Press.Google Scholar