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Rationalising the Penn World Table: True Multilateral Indices for International Comparisons of Real Income

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  • J. Peter Neary

Abstract

Real incomes are routinely compared internationally using methods which 'correct' for deviations from purchasing power parity. The most widely used of these is the Geary method which, though theoretically suspect, underlies the Penn World Table. This paper provides a theoretical foundation for the Geary method which I call the GAIA ('Geary-Allen International Accounts') System. I show that the Geary method is exact when preferences are non-homothetic Leontief and, more generally, gives a (possibly poor) approximation to the GAIA benchmark. An empirical application suggests that both it and other widely-used methods underestimate the degree of international inequality.

Suggested Citation

  • J. Peter Neary, 2004. "Rationalising the Penn World Table: True Multilateral Indices for International Comparisons of Real Income," Working Papers 199622, School of Economics, University College Dublin.
  • Handle: RePEc:ucn:wpaper:199622
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    File URL: http://hdl.handle.net/10197/6368
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    1. Nuxoll, Daniel A, 1994. "Differences in Relative Prices and International Differences in Growth Rates," American Economic Review, American Economic Association, vol. 84(5), pages 1423-1436, December.
    2. Richard W. Blundell & Martin Browning & Ian A. Crawford, 2003. "Nonparametric Engel Curves and Revealed Preference," Econometrica, Econometric Society, vol. 71(1), pages 205-240, January.
    3. Robert J. Hill, 1997. "A Taxonomy Of Multilateral Methods For Making International Comparisons Of Prices And Quantities," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(1), pages 49-69, March.
    4. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    5. Diewert, W. E. & Wales, T. J., 1988. "A normalized quadratic semiflexible functional form," Journal of Econometrics, Elsevier, vol. 37(3), pages 327-342, March.
    6. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    7. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    8. Neary, J-P & Gleeson, B, 1997. "Comparing the Wealth of Nations : Reference Prices and Multilateral Real Income Indexes," Papers 97/19, College Dublin, Department of Political Economy-.
    9. Kravis, Irving B, 1984. "Comparative Studies of National Incomes and Prices," Journal of Economic Literature, American Economic Association, vol. 22(1), pages 1-39, March.
    10. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (II): Applications of the Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number fuss1978a.
    11. László Drechsler, 1973. "Weighting Of Index Numbers In Multilateral International Comparisons," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 19(1), pages 17-34, March.
    12. Heston, Alan & Summers, Robert, 1996. "International Price and Quantity Comparisons: Potentials and Pitfalls," American Economic Review, American Economic Association, vol. 86(2), pages 20-24, May.
    13. Dowrick, Steve & Dunlop, Yvonne & Quiggin, John, 2003. "Social indicators and comparisons of living standards," Journal of Development Economics, Elsevier, vol. 70(2), pages 501-529, April.
    14. Sala-i-Martin, Xavier, 1997. "I Just Ran Two Million Regressions," American Economic Review, American Economic Association, vol. 87(2), pages 178-183, May.
    15. 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.
    16. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
    17. Dowrick, Steve & Quiggin, John, 1997. "True Measures of GDP and Convergence," American Economic Review, American Economic Association, vol. 87(1), pages 41-64, March.
    18. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    19. Angus Deaton, 1979. "The Distance Function in Consumer Behaviour with Applications to Index Numbers and Optimal Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(3), pages 391-405.
    20. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    21. J. Peter Neary, 1996. "Theoretical foundations of the "Geary method" for international comparisons of purchasing power and real incomes," Working Papers 199603, School of Economics, University College Dublin.
    22. Robert Summers & Alan Heston, 1991. "The Penn World Table (Mark 5): An Expanded Set of International Comparisons, 1950–1988," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 327-368.
    23. John Muellbauer, 1975. "Aggregation, Income Distribution and Consumer Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 525-543.
    24. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
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    More about this item

    Keywords

    GAIA (Geary-Allen International Accounts) system; Geary method; Index numbers of prices and real incomes; Penn world table; PPP (Purchasing Power Parity); QUAIDS (Quadratic Almost Ideal Demand System);
    All these keywords.

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs
    • F0 - International Economics - - General

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