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Variety-robust axiomatic indices

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Author Info
Straathof,Bas (MERIT)

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Abstract

The price and quantity indices proposed in this paper exactly and unconditionally pass the product test, E = PQ. Because the indices are measured over single sets of products they can be used for the comparison of sets that do not contain the same types of products. Changes in product variety do not lead to biases in these indices. For homothetic functions, the indices can be used to decompose changes in productivity and the cost of living. Shannon’s (1948) entropy is shown to have properties that make it suitable as an index of product variety. This index of product variety is strongly related to the presented price and quantity indices.

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Paper provided by Maastricht : MERIT, Maastricht Economic Research Institute on Innovation and Technology in its series Research Memoranda with number 028.

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Date of creation: 2003
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Handle: RePEc:dgr:umamer:2003028

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Keywords: research and development

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References listed on IDEAS
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  1. Feenstra, Robert C. & Madani, Dorsati & Yang, Tzu-Han & Liang, Chi-Yuan, 1999. "Testing endogenous growth in South Korea and Taiwan," Journal of Development Economics, Elsevier, vol. 60(2), pages 317-341, December. [Downloadable!] (restricted)
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  2. Weitzman, Martin L, 1992. "On Diversity," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 363-405, May. [Downloadable!] (restricted)
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  3. Diewert, Erwin, 2007. "Index Numbers," UBC Departmental Archives diewert-07-01-03-08-17-23, UBC Department of Economics, revised 31 Jan 2007. [Downloadable!]
  4. Hanoch, Giora, 1971. "CRESH Production Functions," Econometrica, Econometric Society, vol. 39(5), pages 695-712, September. [Downloadable!] (restricted)
  5. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May. [Downloadable!] (restricted)
  6. Sato, Kazuo, 1976. "The Ideal Log-Change Index Number," The Review of Economics and Statistics, MIT Press, vol. 58(2), pages 223-28, May. [Downloadable!] (restricted)
  7. Feenstra, Robert C & Markusen, James R & Zeile, William, 1992. "Accounting for Growth with New Inputs: Theory and Evidence," American Economic Review, American Economic Association, vol. 82(2), pages 415-21, May. [Downloadable!] (restricted)
  8. Paul Romer, 1991. "Endogenous Technological Change," NBER Working Papers 3210, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  1. Straathof,Bas, 2003. "A note on Shannon’s entropy as an index of product variety," Research Memoranda 031, Maastricht : MERIT, Maastricht Economic Research Institute on Innovation and Technology. [Downloadable!]
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