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Real income growth and revealed preference inconsistency

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  • Jerison, David
  • Jerison, Michael

Abstract

If a smooth demand function violates the strong axiom of revealed preference, the income and prices can follow a cycle and returm to their starting values even though real income is always rising. We show how real income growth along the "worst" revealed preference cycle depends on the range of price variation and on violations of the Slutsky conditions. We relate this result to proposed reforms of the consumer price index and use it to justify a new index of local demand inconsistency. We also use the Slutsky matrix to determine an upper bound on the number of observations required to detect revealed preference inconsistency.

Suggested Citation

  • Jerison, David & Jerison, Michael, 2001. "Real income growth and revealed preference inconsistency," UC3M Working papers. Economics we012902, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we012902
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    References listed on IDEAS

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    1. Michael Jerison, 1994. "Optimal Income Distribution Rules and Representative Consumers," Review of Economic Studies, Oxford University Press, vol. 61(4), pages 739-771.
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    4. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
    5. Hurwicz, Leonid & Richter, Marcel K, 1979. "Ville Axioms and Consumer Theory," Econometrica, Econometric Society, vol. 47(3), pages 603-619, May.
    6. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
    7. Mattei, Aurelio, 2000. "Full-scale real tests of consumer behavior using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 43(4), pages 487-497, December.
    8. Koo, Anthony Y C & Hasenkamp, Georg, 1972. "Structure of Revealed Preference: Some Preliminary Evidence," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 724-744, July-Aug..
    9. Shafer, Wayne J., 1977. "Revealed preference cycles and the slutsky matrix," Journal of Economic Theory, Elsevier, vol. 16(2), pages 293-309, December.
    10. Afriat, S N, 1973. "On a System of Inequalities in Demand Analysis: An Extension of the Classical Method," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 460-472, June.
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    12. Richter, Marcel K., 1979. "Duality and rationality," Journal of Economic Theory, Elsevier, vol. 20(2), pages 131-181, April.
    13. Michael J. Boskin, 1998. "Consumer Prices, the Consumer Price Index, and the Cost of Living," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 3-26, Winter.
    14. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    15. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
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    Cited by:

    1. Victor Aguiar & Roberto Serrano, 2015. "Slutsky Matrix Norms and Revealed Preference Tests of Consumer Behaviour," Working Papers 2015-1, Brown University, Department of Economics.
    2. Victor H. Aguiar & Roberto Serrano, 2013. "Slutsky Matrix Norms and the Size of Bounded Rationality," Working Papers 2013-16, Brown University, Department of Economics.
    3. Federico Echenique & Sangmok Lee & Matthew Shum, 2011. "The Money Pump as a Measure of Revealed Preference Violations," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1201-1223.

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