Approximating compensated income from ordinary demand functions
This paper proposes a REversible Second- ORder Taylor (RESORT) approximation to compensated income from ordinary demand functions. RESORT yields the Malmquist-Vartia (M-V) algorithm as a first-order case. Using the Slutsky equation, RESORT obtains the substitution matrix and checks it for symmetry a...
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| Published in | Economics letters Vol. 55; no. 2; pp. 191 - 201 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
01.01.1997
Elsevier North Holland |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0165-1765 1873-7374 |
| DOI | 10.1016/S0165-1765(97)00067-0 |
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| Abstract | This paper proposes a
REversible
Second-
ORder
Taylor (RESORT) approximation to compensated income from ordinary demand functions. RESORT yields the Malmquist-Vartia (M-V) algorithm as a first-order case. Using the Slutsky equation, RESORT obtains the substitution matrix and checks it for symmetry and negative semi-definiteness to validate compensated income. This validation procedure is an improvement over M-V. |
|---|---|
| AbstractList | This paper proposes a
REversible
Second-
ORder
Taylor (RESORT) approximation to compensated income from ordinary demand functions. RESORT yields the Malmquist-Vartia (M-V) algorithm as a first-order case. Using the Slutsky equation, RESORT obtains the substitution matrix and checks it for symmetry and negative semi-definiteness to validate compensated income. This validation procedure is an improvement over M-V. |
| Author | Mount, Timothy D. Dumagan, Jesus C. |
| Author_xml | – sequence: 1 givenname: Jesus C. surname: Dumagan fullname: Dumagan, Jesus C. organization: Economics and Statistics Administration, US Department of Commerce, HCHB Room 4858, 14th St. and Constitution Ave., Washington, DC 20230, USA – sequence: 2 givenname: Timothy D. surname: Mount fullname: Mount, Timothy D. organization: Department of Agricultural, Resource and Managerial Economics, Cornell University, Ithaca, NY 14853, USA |
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| Keywords | Ordinary demand functions Compensated income C43 |
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| References | Diewert, W.E., 1980, The economic theory of index numbers: A survey, in: A.S. Deaton, ed., Essays in the theory and measurement of consumer behavior (Cambridge University Press) pp. 163–208. Hausman (BIB10) 1981; 71 Malmquist (BIB15) 1953; 4 Silberberg (BIB20) 1972; 62 McKenzie, Ulph (BIB17) 1986; 4 Rothman, Hong, Mount (BIB19) 1994; 15 Balk (BIB1) 1995; 49 Hicks, J.R., 1956, A revision of demand theory (Clarendon Press, London). Sydsaeter, K., 1981, Topics in mathematical analysis for economists (Academic Press, London). Dumagan, J.C. and T.D. Mount, 1995, A new algorithm for computing compensated income from ordinary demand functions, Working Paper 95-14 (Department of Agricultural, Resource, and Managerial Economics, Cornell University). Christensen, Caves (BIB4) 1980; 70 Pollak, R.A., 1971, The theory of the cost of living index, Research Discussion Paper No. 11 (Office of Prices and Living Conditions, US Bureau of Labor Statistics, Washington, DC); reprinted in R.A. Pollak, 1989, The theory of the cost of living index (Oxford University Press, New York). Christensen, Jorgenson, Lau (BIB3) 1975; 65 Willig (BIB23) 1976; 66 Just, R.E., D.L. Hueth and A. Schmitz, 1982, Applied welfare economics and public policy (Prentice Hall, Englewood Cliffs). Chipman, Moore (BIB2) 1980; 70 Konüs (BIB14) 1939; 7 Vartia (BIB22) 1983; 51 Hurwicz, L. and H. Uzawa, 1971, On the integrability of demand functions, in J.S. Chipman, L. Hurwicz, M.K. Richter and H.F. Sonnenschein, eds., Preferences, utility and demand (Harcourt Brace, New York) pp. 114–148. Deaton, A. and J. Muellbauer, 1980b, Economics and consumer behavior (Cambridge University Press, Cambridge, UK). Dumagan, Mount (BIB9) 1996; 13 McKenzie, G.W., 1983, Measuring economic welfare: New methods (Cambridge University Press, Cambridge). Deaton, Muellbauer (BIB5) 1980; 70 10.1016/S0165-1765(97)00067-0_BIB11 10.1016/S0165-1765(97)00067-0_BIB12 10.1016/S0165-1765(97)00067-0_BIB21 10.1016/S0165-1765(97)00067-0_BIB16 10.1016/S0165-1765(97)00067-0_BIB13 Chipman (10.1016/S0165-1765(97)00067-0_BIB2) 1980; 70 Silberberg (10.1016/S0165-1765(97)00067-0_BIB20) 1972; 62 10.1016/S0165-1765(97)00067-0_BIB8 Hausman (10.1016/S0165-1765(97)00067-0_BIB10) 1981; 71 Malmquist (10.1016/S0165-1765(97)00067-0_BIB15) 1953; 4 10.1016/S0165-1765(97)00067-0_BIB6 10.1016/S0165-1765(97)00067-0_BIB7 10.1016/S0165-1765(97)00067-0_BIB18 Deaton (10.1016/S0165-1765(97)00067-0_BIB5) 1980; 70 McKenzie (10.1016/S0165-1765(97)00067-0_BIB17) 1986; 4 Christensen (10.1016/S0165-1765(97)00067-0_BIB4) 1980; 70 Dumagan (10.1016/S0165-1765(97)00067-0_BIB9) 1996; 13 Christensen (10.1016/S0165-1765(97)00067-0_BIB3) 1975; 65 Rothman (10.1016/S0165-1765(97)00067-0_BIB19) 1994; 15 Balk (10.1016/S0165-1765(97)00067-0_BIB1) 1995; 49 Vartia (10.1016/S0165-1765(97)00067-0_BIB22) 1983; 51 Willig (10.1016/S0165-1765(97)00067-0_BIB23) 1976; 66 Konüs (10.1016/S0165-1765(97)00067-0_BIB14) 1939; 7 |
| References_xml | – reference: Dumagan, J.C. and T.D. Mount, 1995, A new algorithm for computing compensated income from ordinary demand functions, Working Paper 95-14 (Department of Agricultural, Resource, and Managerial Economics, Cornell University). – reference: Sydsaeter, K., 1981, Topics in mathematical analysis for economists (Academic Press, London). – reference: Hicks, J.R., 1956, A revision of demand theory (Clarendon Press, London). – volume: 4 start-page: 209 year: 1953 end-page: 242 ident: BIB15 article-title: Index numbers and indifference surfaces publication-title: Trabajos de Estadistica – volume: 13 start-page: 235 year: 1996 end-page: 256 ident: BIB9 article-title: Global properties of well-behaved demand systems: A generalized logit model specification publication-title: Economic Modelling – volume: 15 start-page: 67 year: 1994 end-page: 88 ident: BIB19 article-title: Estimating consumer energy demand using international data: Theoretical and policy implications publication-title: The Energy Journal – reference: McKenzie, G.W., 1983, Measuring economic welfare: New methods (Cambridge University Press, Cambridge). – reference: Deaton, A. and J. Muellbauer, 1980b, Economics and consumer behavior (Cambridge University Press, Cambridge, UK). – reference: Diewert, W.E., 1980, The economic theory of index numbers: A survey, in: A.S. Deaton, ed., Essays in the theory and measurement of consumer behavior (Cambridge University Press) pp. 163–208. – volume: 4 start-page: 7 year: 1986 end-page: 49 ident: BIB17 article-title: Exact welfare measures publication-title: Economic Perspectives – reference: Pollak, R.A., 1971, The theory of the cost of living index, Research Discussion Paper No. 11 (Office of Prices and Living Conditions, US Bureau of Labor Statistics, Washington, DC); reprinted in R.A. Pollak, 1989, The theory of the cost of living index (Oxford University Press, New York). – volume: 65 start-page: 367 year: 1975 end-page: 383 ident: BIB3 article-title: Transcendental logarithmic utility functions publication-title: American Economic Review – volume: 51 start-page: 79 year: 1983 end-page: 98 ident: BIB22 article-title: Efficient methods of measuring welfare change and compensated income in terms of ordinary demand function publication-title: Econometrica – volume: 62 start-page: 942 year: 1972 end-page: 952 ident: BIB20 article-title: Duality and the many consumer's surpluses publication-title: American Economic Review – volume: 66 start-page: 589 year: 1976 end-page: 597 ident: BIB23 article-title: Consumer's surplus without apology publication-title: American Economic Review – volume: 70 start-page: 422 year: 1980 end-page: 432 ident: BIB4 article-title: Global properties of flexible functional forms publication-title: American Economic Review – volume: 49 start-page: 147 year: 1995 end-page: 155 ident: BIB1 article-title: Approximating a cost-of-living index from demand functions: A retrospect publication-title: Economics Letters – volume: 70 start-page: 933 year: 1980 end-page: 949 ident: BIB2 article-title: Compensating variation, consumer's surplus and welfare publication-title: American Economic Review – volume: 7 start-page: 10 year: 1939 end-page: 29 ident: BIB14 article-title: The problem of the true index of the cost of living publication-title: Econometrica – volume: 70 start-page: 312 year: 1980 end-page: 326 ident: BIB5 article-title: An almost ideal demand system publication-title: American Economic Review – reference: Hurwicz, L. and H. Uzawa, 1971, On the integrability of demand functions, in J.S. Chipman, L. Hurwicz, M.K. Richter and H.F. Sonnenschein, eds., Preferences, utility and demand (Harcourt Brace, New York) pp. 114–148. – reference: Just, R.E., D.L. Hueth and A. Schmitz, 1982, Applied welfare economics and public policy (Prentice Hall, Englewood Cliffs). – volume: 71 start-page: 662 year: 1981 end-page: 676 ident: BIB10 article-title: Exact consumer's surplus and deadweight loss publication-title: American Economic Review – volume: 71 start-page: 662 year: 1981 ident: 10.1016/S0165-1765(97)00067-0_BIB10 article-title: Exact consumer's surplus and deadweight loss publication-title: American Economic Review – volume: 62 start-page: 942 year: 1972 ident: 10.1016/S0165-1765(97)00067-0_BIB20 article-title: Duality and the many consumer's surpluses publication-title: American Economic Review – ident: 10.1016/S0165-1765(97)00067-0_BIB21 – volume: 4 start-page: 7 year: 1986 ident: 10.1016/S0165-1765(97)00067-0_BIB17 article-title: Exact welfare measures publication-title: Economic Perspectives – volume: 70 start-page: 312 year: 1980 ident: 10.1016/S0165-1765(97)00067-0_BIB5 article-title: An almost ideal demand system publication-title: American Economic Review – ident: 10.1016/S0165-1765(97)00067-0_BIB18 – ident: 10.1016/S0165-1765(97)00067-0_BIB16 doi: 10.1017/CBO9780511571770 – volume: 51 start-page: 79 year: 1983 ident: 10.1016/S0165-1765(97)00067-0_BIB22 article-title: Efficient methods of measuring welfare change and compensated income in terms of ordinary demand function publication-title: Econometrica doi: 10.2307/1912249 – volume: 66 start-page: 589 year: 1976 ident: 10.1016/S0165-1765(97)00067-0_BIB23 article-title: Consumer's surplus without apology publication-title: American Economic Review – ident: 10.1016/S0165-1765(97)00067-0_BIB8 – volume: 70 start-page: 422 year: 1980 ident: 10.1016/S0165-1765(97)00067-0_BIB4 article-title: Global properties of flexible functional forms publication-title: American Economic Review – volume: 65 start-page: 367 year: 1975 ident: 10.1016/S0165-1765(97)00067-0_BIB3 article-title: Transcendental logarithmic utility functions publication-title: American Economic Review – ident: 10.1016/S0165-1765(97)00067-0_BIB11 – volume: 13 start-page: 235 issue: 2 year: 1996 ident: 10.1016/S0165-1765(97)00067-0_BIB9 article-title: Global properties of well-behaved demand systems: A generalized logit model specification publication-title: Economic Modelling doi: 10.1016/0264-9993(95)00021-6 – volume: 7 start-page: 10 year: 1939 ident: 10.1016/S0165-1765(97)00067-0_BIB14 article-title: The problem of the true index of the cost of living publication-title: Econometrica doi: 10.2307/1906997 – volume: 15 start-page: 67 issue: 2 year: 1994 ident: 10.1016/S0165-1765(97)00067-0_BIB19 article-title: Estimating consumer energy demand using international data: Theoretical and policy implications publication-title: The Energy Journal doi: 10.5547/ISSN0195-6574-EJ-Vol15-No2-4 – ident: 10.1016/S0165-1765(97)00067-0_BIB7 doi: 10.1017/CBO9780511984082.010 – ident: 10.1016/S0165-1765(97)00067-0_BIB13 – volume: 4 start-page: 209 year: 1953 ident: 10.1016/S0165-1765(97)00067-0_BIB15 article-title: Index numbers and indifference surfaces publication-title: Trabajos de Estadistica doi: 10.1007/BF03006863 – ident: 10.1016/S0165-1765(97)00067-0_BIB6 doi: 10.1017/CBO9780511805653 – ident: 10.1016/S0165-1765(97)00067-0_BIB12 – volume: 49 start-page: 147 issue: 2 year: 1995 ident: 10.1016/S0165-1765(97)00067-0_BIB1 article-title: Approximating a cost-of-living index from demand functions: A retrospect publication-title: Economics Letters doi: 10.1016/0165-1765(95)00661-X – volume: 70 start-page: 933 year: 1980 ident: 10.1016/S0165-1765(97)00067-0_BIB2 article-title: Compensating variation, consumer's surplus and welfare publication-title: American Economic Review |
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| Snippet | This paper proposes a
REversible
Second-
ORder
Taylor (RESORT) approximation to compensated income from ordinary demand functions. RESORT yields the... |
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| SubjectTerms | Compensated income Makroökonomische Konsumfunktion Ordinary demand functions Schätztheorie Theorie |
| Title | Approximating compensated income from ordinary demand functions |
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