A General Theory of Price and Quantity Aggregation and Welfare Measurement
The paper presents a general theory of the aggregation of prices and quantities that unifies the field and relates topics that in the past have been treated separately and unsatisfactorily, or not at all. The theory does without the common but unrealistic assumptions of homotheticity, or representative agents and is valid with or without an explicit utility maximization assumption. Two different derivations are given, one in continuous time, using Divisia integrals, and one employing more traditional discrete arguments. The unifying concept is the money metric, which is interpreted as a partial welfare indicator, rather than as a comprehensive welfare measure. On this basis, a consistent set of chained price and quantity indexes for a set of additive time series, such as those in the national income and product accounts, is derived. All variants of the theory lead to Törnqvist indexes defined on the appropriate data set. A numerical example confirms that in the non-homothetic case, these indexes are superior both to Fisher’s ‘ideal’ index and to the consumer surplus approximation.
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- Diewert, W E, 1976. "Harberger's Welfare Indicator and Revealed Preference Theory," American Economic Review, American Economic Association, vol. 66(1), pages 143-152, March.
- Diewert, W E, 1992. "Exact and Superlative Welfare Change Indicators," Economic Inquiry, Western Economic Association International, vol. 30(4), pages 562-582, October.
- McKenzie,George W., 1983. "Measuring Economic Welfare," Cambridge Books, Cambridge University Press, number 9780521248624, October.
- Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
- Chiuri, M C & Simmons, P J, 1997. "Universal Decentralisation: A Demand System for Collective and Unitary Models with Household Public Goods," Economic Journal, Royal Economic Society, vol. 107(441), pages 372-389, March.
- Claude Hillinger, 2001. "Money Metric, Consumer Surplus and Welfare Measurement," German Economic Review, Verein für Socialpolitik, vol. 2(2), pages 177-193, 05.
- Daniel T. Slesnick, 1998. "Empirical Approaches to the Measurement of Welfare," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 2108-2165, December.
- Samuelson, Paul A & Swamy, S, 1974. "Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis," American Economic Review, American Economic Association, vol. 64(4), pages 566-593, September.
- Apps, Patricia F & Rees, Ray, 1997.
"Collective Labor Supply and Household Production,"
Journal of Political Economy,
University of Chicago Press, vol. 105(1), pages 178-190, February.
- Apps, P.F. & Rees, R., 1996. "Collective Labor Supply and Household Production," Papers 301, Australian National University - Department of Economics.
- Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
- Samuelson, Paul A, 1974. "Complementarity-An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1255-1289, December.
- Jorgenson, Dale W, 1990. "Aggregate Consumer Behavior and the Measurement of Social Welfare," Econometrica, Econometric Society, vol. 58(5), pages 1007-1040, September. Full references (including those not matched with items on IDEAS)
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