The New Palgrave Dictionary of Economics

Living Edition
| Editors: Palgrave Macmillan

Consumer Expenditure

  • Angus Deaton
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Consumers’ expenditure is a central concern of economics, both in microeconomic terms (the relationship between prices, expenditure and welfare) and in macroeconomic terms (the relationship between expenditure and income). This article examines the interplay between theory and evidence in the study of consumers’ expenditure and its composition. Although models have been developed from the theory of consumption that illuminate much of the available data, many standard presumptions of economics lack substantial bodies of evidence such as central theories in the natural sciences enjoy.


Almost ideal demand system (AIDS) ARIMA process Bernoulli utility functions Compensated demand Consumer expenditure Consumers’ expenditure Consumption function Convexity Demand curve Demand functions Denver Income Maintenance Experiment Econometrics Elasticity Engel curves Engel’s law Euler equation Fisher, I. Fixed needs model Flexible functional forms Friedman, M. Generalized axiom of revealed preference (GARP) Generalized Leontief system Hicks, J. Household budgets Inflation Inter-temporal utility functions Keynes, J. King, G. Kuznets, S. Law of demand Life cycle hypothesis Life-cycle income model Linear expenditure system Lucas, R. Marginal rate of substitution Michigan Panel Study of Income Dynamics (PSID) Modigliani, F. Non-linear optimization Optimal taxation Permanent income model Prices Ramsey, F. Random walk model Revealed preference theory Risk aversion Roy’s identity Samuelson, P. Saving ratio Shephard’s lemma Slutsky matrix Stigler, G. Stone, J. Stone-Geary utility function Substitution effect Tax reform analysis Unit root model Utility maximization 

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  1. Abowd, J.M., and D. Card. 1985. The covariance structure of earnings and hours changes in three panel data sets. Princeton University, mimeo.Google Scholar
  2. Afriat, S.N. 1967. The construction of a utility function from expenditure data. International Economic Review 8: 67–77.CrossRefGoogle Scholar
  3. Aitchison, J., and J.A.C. Brown. 1957. The lognormal distribution. Cambridge: Cambridge University Press.Google Scholar
  4. Altonji, J. 1986. Intertemporal substitution in labor supply: Evidence from micro data. Journal of Political Economy 94: S176–S215.CrossRefGoogle Scholar
  5. Altonji, J., and A. Siow. 1985. Testing the response of consumption to income changes with (noisy) panel data. Industrial Relations Section Working Paper No.186. Princeton University, mimeo.Google Scholar
  6. Ando, A., and F. Modigliani. 1963. The life-cycle hypothesis of saving: Aggregate implications and tests. American Economic Review 53: 55–84.Google Scholar
  7. Ashenfelter, O. 1984. Macroeconomic analyses and microeconomic analyses of labor supply. Presented to Carnegie-Rochester Conference, Bal Harbor, Florida, November 1983.Google Scholar
  8. Ashenfelter, O., and J. Ham. 1979. Education, unemployment, and earnings. Journal of Political Economy 87: S99–116.CrossRefGoogle Scholar
  9. Barnett, W.A. 1983. New indices of money supply and the flexible Laurent demand system. Journal of Business and Economic Statistics 1: 7–23.Google Scholar
  10. Barnett, W.A., and Y.W. Lee. 1985. The global properties of the miniflex Laurent, generalized Leontief, and translog flexible functional forms. Econometrica 53: 1421–1437.CrossRefGoogle Scholar
  11. Barnett, W.A., Y.W. Lee, and M. Wolfe. 1985. The three dimensional global properties of the miniflex Laurent, generalized Leontief, and translog flexible functional forms. Journal of Econometrics: 3–31.Google Scholar
  12. Barten, A.P. 1964. Family composition, prices, and expenditure patterns. In Econometric analysis for national economic planning, ed. P.E. Hart, G. Mills, and J.K. Whitaker. London: Butterworth.Google Scholar
  13. Barten, A.P. 1969. Maximum likelihood estimation of a complete system of demand equations. European Economic Review 1: 7–23.CrossRefGoogle Scholar
  14. Bean, C.R. 1985. The estimation of surprise models and the surprise consumption function. Centre for Economic Policy Research (London), Discussion Paper No.54, mimeo.Google Scholar
  15. Bera, A.K., R. Byron, and C.M. Jarque. 1981. Further evidence on asymptotic tests for homogeneity in large demand systems. Economics Letters 8: 101–105.CrossRefGoogle Scholar
  16. Bernanke, B.S. 1984. Permanent income, liquidity, and expenditure on automobiles: Evidence from panel data. Quarterly Journal of Economics 99: 587–614.CrossRefGoogle Scholar
  17. Bernheim, B.D., A. Schleiffer, and L.H. Summers. 1985. Bequests as a means of payment. Journal of Political Economy: 1045–1076.Google Scholar
  18. Blackorby, C., D. Primont, and R.R. Russell. 1977. On testing separability restrictions with flexible functional forms. Journal of Econometrics 5: 195–209.CrossRefGoogle Scholar
  19. Blinder, A.S. 1975. Distribution effects and the aggregate consumption function. Journal of Political Economy 83: 447–475.CrossRefGoogle Scholar
  20. Blinder, A.S., and A.S. Deaton. 1985. The time series consumption function revisited. Brookings Papers on Economic Activity 2: 465–511.CrossRefGoogle Scholar
  21. Breeden, D. 1979. An intertemporal asset pricing model with stochastic consumption and investment opportunities. Journal of Financial Economics 7: 265–296.CrossRefGoogle Scholar
  22. Bronars, S.G. 1987. The power of non-parametric tests of preference maximization. Econometrica 55: 693–698.CrossRefGoogle Scholar
  23. Browning, M.J., A.S. Deaton, and M.J. Irish. 1985. A profitable approach to labor supply and commodity demands over the life cycle. Econometrica 53: 503–543.CrossRefGoogle Scholar
  24. Campbell, J.Y. 1987. Does saving anticipate declining labor income? An alternative test of the permanent income hypothesis. Econometrica 55: 1249–1273.CrossRefGoogle Scholar
  25. Campbell, J.Y., and N.G. Mankiw. 1986. Are output fluctuations transitory? National Bureau of Economic Research Working Paper 1916, processed.Google Scholar
  26. Caves, D.W., and L.R. Christensen. 1980. Global properties of flexible functional forms. American Economic Review 70: 422–432.Google Scholar
  27. Chiappori, P.-A., and J.-C. Rochet. 1987. Revealed preferences and differentiable demand. Econometrica 55: 687–691.CrossRefGoogle Scholar
  28. Christensen, L.R., D.W. Jorgenson, and L.J. Lau. 1973. Transcendental logarithmic production frontiers. Review of Economics and Statistics 55: 28–45.CrossRefGoogle Scholar
  29. Cochrane, J.H. 1986. How big is the random walk in GNP? Department of Economics, University of Chicago, processed.Google Scholar
  30. Davenant, C. 1699. Essay upon the probable methods of making a people gainers in the balance of trade . London. Google Scholar
  31. Davidson, J.E.H., et al. 1978. Econometric modelling of the aggregate time-series relationship between consumers expenditure and income in the United Kingdom. Economic Journal 88: 661–692.Google Scholar
  32. Davies, J.B. 1980. Uncertain lifetime, consumption and dissaving in retirement. Journal of Political Economy 89: 561–577.CrossRefGoogle Scholar
  33. Deaton, A.S. 1974a. The analysis of consumer demand in the United Kingdom, 1900–1970. Econometrica 42: 341–367.CrossRefGoogle Scholar
  34. Deaton, A.S. 1974b. A reconsideration of the empirical implications of additive preferences. Economic Journal 84: 338–348.Google Scholar
  35. Deaton, A.S. 1975. The structure of demand in Europe 1920–1970. In The Fontana economic history of Europe, ed. C.M. Cippola, vol. 5. London: Collins-Fontana.Google Scholar
  36. Deaton, A.S. 1977. Involuntary saving through unanticipated inflation. American Economic Review 67: 899–910.Google Scholar
  37. Deaton, A.S. 1986a. Demand analysis. In Handbook of econometrics, ed. Z. Griliches and M. Intriligator, vol. 3. Amsterdam: North-Holland.Google Scholar
  38. Deaton, A.S. 1986b. Life-cycle models of consumption: Is the evidence consistent with the theory? NBER Working Paper No.1910, processed.Google Scholar
  39. Deaton, A.S., and J. Muellbauer. 1980a. An almost ideal demand system. American Economic Review 70: 312–326.Google Scholar
  40. Deaton, A.S., and J. Muellbauer. 1980b. Economics and consumer behaviour. New York: Cambridge University Press.CrossRefGoogle Scholar
  41. Deaton, A.S., and J. Muellbauer. 1986. On measuring child costs, with applications to poor countries. Journal of Political Economy 94: 720–744.CrossRefGoogle Scholar
  42. Deaton, A.S., J. Ruiz-Castillo, and D. Thomas. 1985. The influence of household composition on household expenditure patterns: Theory and Spanish evidence. Woodrow Wilson School, Princeton University, processed.Google Scholar
  43. Dickey, D.A., and W.A. Fuller. 1981. Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica 49: 1057–1072.CrossRefGoogle Scholar
  44. Diewert, W.E. 1971. An application of the Shephard duality theorem: A generalized Leontief production function. Journal of Political Economy 79: 481–507.CrossRefGoogle Scholar
  45. Diewert, W.E. 1973. Functional forms for profit and transformation functions. Journal of Economic Theory 6: 284–316.CrossRefGoogle Scholar
  46. Diewert, W.E. 1974. Intertemporal consumer theory and the demand for durables. Econometrica 42: 497–516.CrossRefGoogle Scholar
  47. Diewert, W.E., and T.J. Wales. 1987. Flexible functional forms and global curvature conditions. Econometrica 55: 43–68.CrossRefGoogle Scholar
  48. Dixit, A.K. 1976. Optimization in economic theory. Oxford: Oxford University Press.Google Scholar
  49. Dolde, W., and J. Tobin. 1971. Monetary and fiscal effects on consumption in consumer spending and monetary policy: The linkages. Boston: Federal Reserve Bank of Boston, Conference Series no. 5.Google Scholar
  50. Duncan, G.J., and D.H. Hill. 1985. An investigation of the extent and consequences of measurement error in labor economic survey data. Journal of Labor Economics: 508–532.Google Scholar
  51. Durlauf, S.N., and P.C.B. Phillips. 1986. Trends versus random walks in time-series analysis. Cowles Foundation Discussion Paper No.788. Yale University, New Haven, processed.Google Scholar
  52. Eichenbaum, M.S., L.P. Hansen, and K. Singleton 1984. A time series analysis of representative agent models of consumption and leisure choice under uncertainty. Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh, mimeo.Google Scholar
  53. Engel, E. 1895. Die lebenkosten Belgischer Arbeiter-Familien früher und jetzt. International Statistical Institute Bulletin 9: 1–74.Google Scholar
  54. Epstein, L. 1975. A disaggregate analysis of consumer choice under uncertainty. Econometrica 43: 877–892.CrossRefGoogle Scholar
  55. Evans, M.K. 1967. The importance of wealth in the consumption function. Journal of Political Economy 75: 335–351.CrossRefGoogle Scholar
  56. Evans, G.B.A., and N.E. Savin. 1982. Conflict among the criteria revisited; the W, LR, and LM tests. Econometrica 50: 737–748.CrossRefGoogle Scholar
  57. Fisher, I. 1930. The theory of interest. New York: The Macmillan Company.Google Scholar
  58. Flavin, M. 1981. The adjustment of consumption to changing expectations about future income. Journal of Political Economy 89: 974–1009.CrossRefGoogle Scholar
  59. Flemming, J.S. 1973. The consumption function when capital markets are imperfect: The permanent income hypothesis reconsidered. Oxford Economic Papers 25: 160–172.CrossRefGoogle Scholar
  60. Friedman, M. 1957. A theory of the consumption function. Princeton: Princeton University Press.Google Scholar
  61. Gallant, A.R. 1982. Unbiased determination of production technologies. Journal of Econometrics 20: 285–323.CrossRefGoogle Scholar
  62. Geary, R.C. 1949–50. A note on ‘a constant utility index of the cost of living’. Review of Economic Studies 18, 65–66.Google Scholar
  63. Ghez, G., and G.S. Becker. 1975. The allocation of time and goods over the life-cycle. New York: Columbia University Press.Google Scholar
  64. Goldberger, A.S. 1967. Functional form and utility: A review of consumer demand theory. Social Systems Research Institute, University of Wisconsin, processed.Google Scholar
  65. Gorman, W.M. 1959. Separable utility and aggregation. Econometrica 27: 469–481.CrossRefGoogle Scholar
  66. Gorman, W.M. 1976. Tricks with utility functions. In Essays in economic analysis, ed. M. Artis and A.R. Nobay. Cambridge: Cambridge University Press.Google Scholar
  67. Gorman, W.M. 1981. Some Engel curves. In Essays in the theory and measurement of consumer behaviour in honour of Sir Richard Stone, ed. A.S. Deaton. Cambridge: Cambridge University Press.Google Scholar
  68. Gorman, W.M. 1982. Facing an uncertain future. IMSS Technical Report No.359, Stanford University, processed.Google Scholar
  69. Grossman, S.J., and R.J. Shiller. 1981. The determinants of the variability of stock market prices. American Economic Review, Papers and Proceedings 71: 222–227.Google Scholar
  70. Hall, R.E. 1978. Stochastic implications of the life cycle-permanent income hypothesis: Theory and evidence. Journal of Political Economy 86: 971–987.CrossRefGoogle Scholar
  71. Hall, R.E., and F.S. Mishkin. 1982. The sensitivity of consumption to transitory income: Estimates from panel data on households. Econometrica 50: 461–481.CrossRefGoogle Scholar
  72. Hansen, L.P., and K.J. Singleton. 1982. Generalized instrumental variables estimation of non-linear rational expectations models. Econometrica 50: 1269–1286.CrossRefGoogle Scholar
  73. Hayashi, F. 1982. The permanent income hypothesis: Estimation and testing by instrumental variables. Journal of Political Economy 90: 895–916.CrossRefGoogle Scholar
  74. Hayashi, F. 1985a. Permanent income hypothesis and consumption durability: Analysis based on Japanese panel data. Quarterly Journal of Economics: 183–206c.Google Scholar
  75. Hayashi, F. 1985b. Tests for liquidity constraints: A critical survey. Osaka University and NBER, processed. Presented at the Fifth World Congress of the Econometric Society, Cambridge, MA, August 1985.Google Scholar
  76. Heckman, J.J. 1971. Three essays on the supply of labor and the demand for goods. Unpublished PhD thesis, Princeton University.Google Scholar
  77. Hicks, J.R. 1939. Value and capital. Oxford: Oxford University Press.Google Scholar
  78. Houthakker, H.S. 1961. An international comparison of personal saving. Bulletin of the International Statistical Institute 38: 55–70.Google Scholar
  79. Houthakker, H.S. 1965. On some determinants of saving in developed and underdeveloped countries. In Problems in Economic Development, ed. A.G. Robinson. London: Macmillan.Google Scholar
  80. Houthakker, H.S., and L.D. Taylor. 1970. Consumer demand in the United States: Analysis and projections. 2nd ed. Cambridge, MA: Harvard University Press.Google Scholar
  81. Howe, H., R.A. Pollak, and T.J. Wales. 1979. Theory and time series estimation of the quadratic expenditure system. Econometrica 47: 1231–1247.CrossRefGoogle Scholar
  82. Koskela, E., and M. Viren. 1982a. Saving and inflation: Some international evidence. Economics Letters 9: 337–344.CrossRefGoogle Scholar
  83. Koskela, E., and M. Viren. 1982b. Inflation and savings: Testing Deaton’s hypothesis. Applied Economics 14: 579–590.CrossRefGoogle Scholar
  84. Kotlikoff, L.J., and L.H. Summers. 1981. The role of intergenerational transfers in aggregate capital accumulation. Journal of Political Economy 89: 706–732.CrossRefGoogle Scholar
  85. Kuznets, S. 1946. National income: A summary of findings. National Bureau of Economic Research. New York: Arno Press.Google Scholar
  86. Kuznets, S. 1962. Quantitative aspects of the economic growth of nations: VII: The share and structure of consumption. Economic Development and Cultural Change 10: 1–92.CrossRefGoogle Scholar
  87. Kydland, F.E., and E.C. Prescott. 1982. Time to build and aggregate fluctuations. Econometrica 50: 1345–1370.CrossRefGoogle Scholar
  88. Laitinen, K. 1978. Why is demand homogeneity so often rejected? Economics Letters 1: 187–191.CrossRefGoogle Scholar
  89. Leff, N. 1969. Dependency rates and saving rates. Economic Journal 59: 886–896.Google Scholar
  90. Leser, C.E.V. 1963. Forms of Engel functions. Econometrica 31: 694–703.CrossRefGoogle Scholar
  91. Lucas, R.E. 1976. Econometric policy evaluation: A critique. In The Phillips curve and labor markets, Carnegie-Rochester Conference Series on Public Policy 1, ed. K. Brunner and A. Meltzer. Amsterdam: North-Holland.Google Scholar
  92. Lucas, R.E. 1981. Introduction. In Studies in business cycle theory, ed. R.E. Lucas. Cambridge, MA: MIT Press.Google Scholar
  93. Lucas, R.E., and L. Rapping. 1969. Real wages, employment, and inflation. Journal of Political Economy 77: 721–754.CrossRefGoogle Scholar
  94. MaCurdy, T.E. 1981. An empirical model of labor supply in a life-cycle setting. Journal of Political Economy 89: 1059–1085.CrossRefGoogle Scholar
  95. Mankiw, N.G., and M. Shapiro. 1985. Trends, random walks, and tests of the permanent income hypothesis. Journal of Monetary Economics 16: 165–174.CrossRefGoogle Scholar
  96. Mankiw, N.G., and M. Shapiro. 1986. Do we reject too often? Small sample properties of tests of rational expectations models. Economics Letters 20: 139–145.CrossRefGoogle Scholar
  97. Mankiw, N.G., J.J. Rotemberg, and L.H. Summers. 1985. Intertemporal substitution in macroeconomics. Quarterly Journal of Economics 100: 225–251.CrossRefGoogle Scholar
  98. Meisner, J.F. 1979. The sad fate of the asymptotic Slutsky symmetry test. Economics Letters 2: 231–233.CrossRefGoogle Scholar
  99. Mirer, T.W. 1979. The wealth–age relationship among the aged. American Economic Review 69: 435–443.Google Scholar
  100. Modigliani, F. 1970. The life-cycle hypothesis of saving and inter-country differences in the saving ratio. In Induction, growth and trade: Essays in honour of Sir Roy Harrod, ed. W.A. Eltis et al. Oxford: Clarendon Press.Google Scholar
  101. Modigliani, F. 1986. Life cycle, individual thrift, and the wealth of nations. American Economic Review 76: 297–313.Google Scholar
  102. Modigliani, F., and A. Ando. 1957. Tests of the life-cycle hypothesis of savings. Bulletin of the Oxford Institute of Economics and Statistics 19: 99–124.Google Scholar
  103. Modigliani, F., and R. Brumberg. 1954. Utility analysis and the consumption function: An interpretation of cross-section data. In Post-Keynesian economics, ed. K.K. Kurihara. New Brunswick: Rutgers University Press.Google Scholar
  104. Modigliani, F., and Brumberg. 1979. Utility analysis and aggregate consumption functions: An attempt at integration. In The collected papers of Franco Modigliani, ed. A. Abel, vol. 2. Cambridge, MA: MIT Press.Google Scholar
  105. Muellbauer, J. 1977. Testing the Barten model of household composition effects and the cost of children. Economic Journal 87: 460–487.Google Scholar
  106. Muellbauer, J. 1980. The estimation of the Prais–Houthakker model of equivalence scales. Econometrica 48: 153–176.CrossRefGoogle Scholar
  107. Muellbauer, J. 1985. Habits, rationality and the life-cycle consumption function. Nuffield College, Oxford, mimeo.Google Scholar
  108. Nicholson, J.L. 1976. Appraisal of different methods of estimating equivalence scales and their results. Review of Income and Wealth 22: 1–11.CrossRefGoogle Scholar
  109. Phillips, P.C.B., and P. Perron. 1986. Testing for a unit root in a time series regression. Cowles Foundation Discussion Paper No.795, Yale University, New Haven, processed.Google Scholar
  110. Pollak, R.A., and T.J. Wales. 1979. Welfare comparisons and equivalent scales. American Economic Review 69: 216–221.Google Scholar
  111. Pollak, R.A., and T.J. Wales. 1980. Comparisons of the quadratic expenditure system and translog demand system with alternative specifications of demographic effects. Econometrica 48: 595–612.CrossRefGoogle Scholar
  112. Pollak, R.A., and T.J. Wales. 1981. Demographic variables in demand analysis. Econometrica 49: 1533–1551.CrossRefGoogle Scholar
  113. Prais, S.J., and H.S. Houthakker. 1955. The analysis of family budgets. Cambridge: Cambridge University Press.Google Scholar
  114. Ramsey, F.P. 1928. A mathematical theory of saving. Economic Journal 38: 543–559.Google Scholar
  115. Rothbarth, E. 1943. Note on a method of determining equivalent income for families of different composition. Appendix 4 in War-time patterns of saving and spending, ed. C. Madge, Occasional Paper 4, National Institute of Economic and Social Research, London.Google Scholar
  116. Roy, R. 1943. De l’utiliteé: contribution à la théorie des choix. Paris: Herman.Google Scholar
  117. Runkle, D.E. 1983. Liquidity constraints and the permanent income hypothesis: Evidence from panel data. MIT, processed.Google Scholar
  118. Samuelson, P.A. 1947–8. Some implications of linearity. Review of Economic Studies 15: 88–90.Google Scholar
  119. Shephard, R. 1953. Cost and production functions. Princeton: Princeton University Press.Google Scholar
  120. Shorrocks, A.F. 1975. The age-wealth relationship: A cross-section and cohort analysis. Review of Economics and Statistics 57: 155–163.CrossRefGoogle Scholar
  121. Slutsky, E. 1915. Sulla teoria del bilancio del consumatore. Giornale degli Economisti 15: 1–26. English translation in Readings in price theory, ed. G.J. Stigler and K. Boulding. Chicago: Chicago University Press, 1952.Google Scholar
  122. Smith, J.P. 1977. Family labor supply over the life cycle. Explorations in Economic Research 4: 205–276.Google Scholar
  123. Spinnewyn, F. 1979a. Rational habit formation. European Economic Review 15: 91–109.CrossRefGoogle Scholar
  124. Spinnewyn, F. 1979b. The cost of consumption and wealth in a model with habit formation. Economics Letters 2: 145–148.CrossRefGoogle Scholar
  125. Stigler, G.J. 1954. The early history of empirical studies of consumer behavior. Journal of Political Economy 62: 95–113.CrossRefGoogle Scholar
  126. Stone, J.R.N. 1954a. The measurement of consumers’ expenditure and behaviour in the United Kingdom, 1920–1938, vol. 1. Cambridge: Cambridge University Press.Google Scholar
  127. Stone, J.R.N. 1954b. Linear expenditure systems and demand analysis: An application to the pattern of British demand. Economic Journal 64: 511–527.Google Scholar
  128. Stone, J.R.N. 1964. Private saving in Britain, past, present, and future. The Manchester School 32: 79–112.CrossRefGoogle Scholar
  129. Stone, J.R.N. 1966. Spending and saving in relation to income and wealth. L’Industria: 471–499.Google Scholar
  130. Surrey, M.J.C. 1974. Saving, growth, and the consumption function. Bulletin of the Oxford Institute of Statistics 36: 125–142.CrossRefGoogle Scholar
  131. Thomas, D. 1986. Essays on the analysis of Engel curves in developing countries. PhD thesis, Princeton University.Google Scholar
  132. Uzawa, H. 1964. Duality principles in the theory of cost and production. International Economic Review 5: 216–220.CrossRefGoogle Scholar
  133. Varian, H.R. 1978. Microeconomic analysis. 2nd ed, 1984. New York: Norton.Google Scholar
  134. Varian, H.R. 1982. The non-parametric approach to demand analysis. Econometrica 50: 945–973.CrossRefGoogle Scholar
  135. Wales, T.J. 1977. On the flexibility of flexible functional forms: An empirical approach. Journal of Econometrics 5: 183–193.CrossRefGoogle Scholar
  136. Watson, M.W. 1986. Univariate detrending method with stochastic trends. Journal of Monetary Economics 18: 49–75.CrossRefGoogle Scholar
  137. Working, H. 1943. Statistical laws of family expenditure. Journal of the American Statistical Association 38: 43–56.CrossRefGoogle Scholar
  138. Yaari, M.E. 1965. Uncertain lifetime, life insurance, and the theory of the consumer. Review of Economic Studies 32: 137–150.CrossRefGoogle Scholar
  139. Zeldes, S. 1985. Consumption and liquidity constraints: An empirical investigation. The Wharton School, University of Pennsylvania, processed.Google Scholar

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Authors and Affiliations

  • Angus Deaton
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