Journal Article The Elasticity of Derived Net Supply and a Generalized Le Chatelier Principle Get access W. E. Diewert W. E. Diewert University of British Columbia Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 48, Issue 1, January 1981, Pages 63–80, https://doi.org/10.2307/2297121 Published: 01 January 1981 Article history Received: 01 August 1977 Accepted: 01 March 1980 Published: 01 January 1981

Journal Article Symmetry Conditions for Market Demand Functions Get access W. E. Diewert W. E. Diewert University of British Columbia Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 47, Issue 3, April 1980, Pages 595–601, https://doi.org/10.2307/2297310 Published: 01 April 1980 Article history Received: 01 January 1977 Accepted: 01 August 1979 Published: 01 April 1980

Journal Article Afriat and Revealed Preference Theory Get access W. E. Diewert W. E. Diewert University of British Columbia Search for other works by this author on: Oxford Academic Google Scholar The Review of Economic Studies, Volume 40, Issue 3, July 1973, Pages 419–425, https://doi.org/10.2307/2296461 Published: 01 July 1973

modities (such as various consumer goods and labor), M fixed factors (such as land, natural resources and various types of fixed capital), and a government which taxes commodities and fixed factors in order to finance various govern- ment expenditures. It is well known2 that if the government can raise its required revenue by taxing the fixed factors alone, then the resulting allocation of resources is Pareto optimal-no single household's utility or real income can be increased without decreasing the utility of some other household. Suppose we are at an initial equilibrium where government revenue is being raised by taxing the fixed factors alone. Then the resulting equilibrium can be rationalized by maximizing a certain weighted sum of utility functions subject to various feasibility constraints. Now think of the government replacing the taxes on fixed factors with distortionary commodity taxes. In Section 3, we calculate the second order directional derivative of the above weighted sum of utility functions with respect to any feasible direction of tax change, evaluated at the initial equilibrium which is Pareto optimal. Of course, the first order directional derivatives of the weighted sum of utility functions with respect to feasible directions of tax change are zero evaluated at this initial equilibrium. We obtain a measure of economic due to tax distortions which is virtually identical to that of Boiteux (3, p. 113) and which bears a resemblance to the dead loss of Hotelling (22, p. 254), the consumer's surplus measures of Hicks (19; 20, pp. 330-3), and the deadweight loss measure of Harberger (16, p. 61; 17, p. 788). In Section 4, we calculate a measure of welfare based on Debreu's (4, 5) coefficient of resource utilization (which is a modification of a measure of due to Allais (1, 2)) and we show that under certain conditions, the Hotelling,

[Very often, an index number used in an economic model has been constructed in two or more stages. If the two stage procedure gives the same answer as a single stage procedure, then Vartia calls the index number formula "consistent in aggregation." Paasche and Laspeyres indexes have this consistency in aggregation property, but these index number formulae are consistent only with very restrictive functional forms for the underlying aggregator (i.e., utility or production) function. The present paper shows that the class of superlative index number formulae has an approximate consistency in aggregation property, where a superlative index number formula is one which is consistent with a flexible functional form for the underlying aggregator function. The paper also contains some empirical examples which both illustrate the main theorem and also indicate that the chain principle for constructing index numbers is preferable to the fixed base method. Finally, the paper proves some theorems about the class of pseudo-superlative index numbers.]

The paper indicates how the Shephard duality theorem may be utilized in order to obtain a system of derived demand equations which are linear in the technological parameters, thus facilitating econometric estimation. This theorem states that technology may be equivalently represented by either a production function or a cost function, and a proof of the theorem is given. The chosen functional form is a quadratic form in the square roots of input prices and is a generalization of the Leontief cost function. The generalization has the property that it can attain any set of partial elasticities of substitution using a minimal number of parameters.