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Production Functions
by
Elmer G. Wiens
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Cobb-Douglas
| CES
| Generalized CES
| Trans Log
| Diewert
| Translog vs Diewert
| Diewert vs Translog
| Estimate Translog
| Estimate Diewert
| References and Links
Cost Functions:
Cobb-Douglas Cost
| Normalized Quadratic Cost
| Translog Cost
| Diewert Cost
| Generalized CES-Translog Cost
| Generalized CES-Diewert Cost
| References and Links
Duality: Production / Cost Functions:
Cobb-Douglas Duality
| CES Duality
| Theory of Duality
| Translog Duality - CES
| Translog Duality - Generalized CES
| References and Links
Production Functions References and Links
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Allen, R.G.D. Mathematical Analysis for Economists.
New York: St. Martin's, 1960.
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Afriat, S. N. "Theory of Maxima and the Method of Lagrange." Siam Journal of Applied Mathematics. 20 (1971): 343-357.
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Appelbaum, Elie. "Duality in Optimal Growth." International Economic Review. 16 (1975): 381-387.
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Appelbaum, Elie. "Testing Price Taking Behavior." Journal of Econometrics. 9 (1979): 283-294.
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Appelbaum, Elie. "The Estimation of the Degree of Oligopoly Power." Journal of Econometrics. 19 (1982): 287-299.
- Barelli, Paulo and Samuel de Abreu Pessoa. "Inada conditions imply that production function must be asymptotically Cobb-Douglas." Journal of Economic Letters. 81 (2003): 361-363.
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Berndt, Ernst R. and Laurits R. Christensen. "The Translog Function and the Substitution of Equipment, Structures, and Labor in U.S. Manufacturing, 1929-68." Journal of Econometrics. 1 (1979): 81-114.
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Berndt, Ernst R. and Mohammed S Khaled. "Parametric Productivity Measurement and Choice among Flexible Functional Forms." Journal of Political Economy. 87 (1979): 1220-1245.
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Blackorby, Charles, Daniel Primont and R. Robert Russel. "On Testing Separability Restrictions With Flexible Functional Forms." Journal of Econometrics. 5 (1977): 195-209.
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Blackorby, Charles and William Schworm "The Existence of Input and Output Aggregates in Aggregate Production Functions." Econometrica. 56 (1988): 613-643.
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Diewert, W.E. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function." Journal of Political Economy. 79 (1971): 481-507.
- Diewert, W.E. "Applications of Duality Theory." Frontiers of Quantitative Economics, Vol. II. Ed. M.D. Intriligator and D.A. Kendrick, Amsterdam: North-Holland, 1974.
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Diewert, W.E. "Duality Approaches to Microeconomic Theory." Handbook of Mathematical Economics, Vol. II. Ed. K.J. Arrow and M.D. Intriligator, Amsterdam: North-Holland, 1982
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Diewert, Walter E. and Terrance J. Wales. "Flexible Functional Forms and Global Curvature Conditions." Econometrica. 55 (1987): 43-68.
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Diewert, Walter E. and Terrance J. Wales. "A Normalized Quadratic Semiflexible Functional Form." Journal of Econometrics
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Diewert, Walter E. and Terrance J. Wales. "Flexible functional forms and tests of homogeneous separability." Journal of Econometrics
. 67 (1995): 259-302.
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Halter A.N., H.O. Carter, and J.G. Hocking. "A Note on the Transcendental Production Function." Journal of Farm Economics. 39 (1957) 966-974.
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Intriligator, Michael D. Mathematical Optimization and Economic Theory. Englewood Cliffs: Prentice-Hall, 1971.
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Prentice-Hall, 1974.
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Kohli, Ulrich. Technology, duality, and foreign trade : the GNP function approach to modeling imports and exports. New York: Harvester Wheatsheaf, 1991.
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Kohli, Ulrich. "Canadian Imports and Exports by Origin and Destination: A Semi-Flexible Approach." Canadian Journal of Economics. 27 (1994): 580-603.
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Kohli, Ulrich. "Semiflexibility vs. Flexibility: U.S. Imports and Exports by Commodity Group." International Review of Economics and Finance. 7 (1998): 1-21.
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McFadden, D. "Constant Elasticity of Substitution Production Functions." Review of Economic Studies. 30 (1963): 73-83.
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Mundlak, Y. "A Note on the Symmetry of Homogeneous Production Functions and the Three Stages of Production." Journal of Farm Economics. 40 (1958): 750-761
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Pollak, Robert A., Robin A. Sickles and Terence J. Wales. "The CES-Translog: Specification and Estimation of a New Cost Function." Review of Economics & Statistics. 66 (1984): 602-607.
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Pollak, Robert A. and Terence J. Wales. "Specification and Estimation of Nonseparable Two-Stage Technologies: The Leontief CES and the Cobb-Douglas CES." Journal of Political Economy. 95 (1987): 311-333.
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Primont, Daniel and Carl Sawyer. "Recovering the Production Technology from the Cost Function" Journal of Productivity Analysis. 4 (1993): 347-352.
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Revankar, Nagesh S. "A Class of Variable Elasticity of Substitution Production Functions." Econometrica. 9 (1971): 61-71.
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Ryan, David L. and Terence J. Wales. "Imposing local concavity in the translog and generalized Leontief cost functions ." Economics Letters. 67 (2000): 253-260.
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Samuelson, Paul. "Using Full Duality to Show that Simultaneously Additive Direct and Indirect Utilities Implies Unitary Price Elasticity of Demand." Econometrica. 33 (1965): 781-796.
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Shephard, R.W. Cost and Production Functions.
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Thomas, George B. Jr. Calculus and Analytic Geometry. 3rd ed. Reading, Mass: Addison-Wesley, 1960.
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Thompson, Peter and Timothy G. Taylor "The Capital-Energy Substitutability Debate: A New Look." Review of Economics & Statistics. 77 (1995): 565-569.
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Uzawa, Hirofumi. "Production Functions with Constant Elasticities of Substitution." Review of Economic Studies. 29 (1962): 291-299.
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Wales, Terrence J. "On the Flexibility of Functional Forms." Journal of Econometrics. 5 (1977): 183-193.
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Walters, A. A. "Production and Cost Functions: An Econometric Survey." Econometrica. 31 (1963): 1-65.
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Zellner, Arnold and Hang Ryu. "Alternative functional forms for production, cost and returns to scale functions." Journal of Applied Econometrics. 13 (1998): 101-127.
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