Abstract
This paper examines a generalization of cost-production duality for regulated firms. It derives an equivalency between the production function and conditional factor demands for the case where the firm's optimization problem is subject to a set of additional (regulatory) constraints. This procedure is extended to an optimization problem within a dynamic framework which leads to the recovery of the firm's technology.
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References
Averch, H. and L. R. Johnson. (1962). “Behavior of the Firm Under Regulatory Constraint.” American Economic Review 52, 1053-1069.
Bronsard, C., P. Ouellette and L. Salvas-Bronsard. (1994). “Politique financière de la firme et système complet de demande de facteur.” Économie et Prévision, numéro 112, 139-145.
Cowing, T. G. (1980). “The Effectiveness of Rate of Return Regulation: An Empirical Test Using Profit Function.” In M. Fuss and D. McFadden (eds.), Production Economics, a Dual Approach to Theory and Applications. Amsterdam: North-Holland.
Diewert, W. E. (1971), “An Application of the Shephard Duality Theorem: A Generalized Leontieff Production Function.” Journal of Political Economy 79, 481-507.
Diewert, W. E. (1981). “The Theory of Total Factor Productivity Measurement in Regulated Industries.” In T. G. Cowing and R. E. Stevenson (eds.), Productivity Measurement in Regulated Industries. New York: Academic Press.
Färe, R. and J. Logan. (1983). “The Rate-of-Return Regulated Firm: Cost and Production Duality.” The Bell Journal of Economics 14(2), 405-414.
Färe, R. and J. Logan. (1993). “Duality Theory and Value Constraint.” Scottish Journal of Political Economy 40(3), 330-334.
Fuss, M. and L. Waverman. (1983). “Regulation and the Multiproduct Firm: The Case of Telecommunication in Canada.” In G. Fromm (ed.), Studies in Public Regulation. Cambridge: MIT Press.
Lasserre, P. and P. Ouellette. (1994). “Factor Demands, Cost Functions, and Technology Measurements for Regulated Firms.” Canadian Journal of Economics 27(1), 218-242.
Lasserre, P. and P. Ouellette. (1999). “Dynamic Duality, Factor Demands, and Technology Measurements Under Arbitrary Expectations.” Journal of Productivity Analysis 11, 219-241.
Ouellette, P. and S. Vigeant. (2000). “Technological Choices and Regulation: The Case of the Canadian Manufacturing Sectors.” Mimeo, University of Alberta.
Ouellette, P. and S. Vigeant. (2001). “On the Existence of a Regulated Production Function.” Journal of Economics 73(2), 193-200.
Ouellette, P., P. Petit and S. Vigeant. (2000). “Investment and Regulation: The Case of the Canadian Air Carriers.” Mimeo, Université du Québec à Montréal.
Shephard, R. (1953). Cost and Production Functions. Princeton: Princeton University Press.
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Ouellette, P., Vigeant, S. Cost and Production Duality: The Case of the Regulated Firm. Journal of Productivity Analysis 16, 203–224 (2001). https://doi.org/10.1023/A:1012597904904
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DOI: https://doi.org/10.1023/A:1012597904904