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Time Preference and an Extension of the Fisher-Hicksian Equation

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Abstract

In the present chapter, I am interested in extending the static theory of demand analysis as expounded in Hicks’s Value and Capital (1939) to the situation where various consumption streams are inter- temporally compared. The analysis will be presented within the framework of the Fisherian theory of time preference, as originally introduced in Fisher (1907). In our analysis, however, the marginal rate of substitution and related concepts are defined with respect to intertemporal preference orderings, without directly involving utility functionals, and a general formula will be derived to extend the Fisher-Hicksian conditions concerning the equality of marginal rates of substitution and transformation.

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References

  • Cass, D. (1965) ‘Optimum Savings in an Aggregative Model of Capital Accumulation,’ Review of Economic Studies, vol. 32, pp. 233–40.

    Article  Google Scholar 

  • Debreu, G. (1960) The Theory of Value (New York: John Wiley).

    Google Scholar 

  • Epstein, L. E. and Hynes, J. A. (1983) ‘The Rate of Time Preference and Dynamic Economic Analysis,’ Journal of Political Economy, vol. 91, pp. 611–35.

    Article  Google Scholar 

  • Fisher, I. (1907) The Theory of Interest (New York: Macmillan).

    Google Scholar 

  • Gorman, W. M. (1959) ‘Separable Utility and Aggretation,’ Econometrica, vol. 27, pp. 469–81.

    Article  Google Scholar 

  • Hicks, J. R. (1939) Value and Capital (Oxford: Clarendon Press).

    Google Scholar 

  • Hirschleifer, J. (1958) ‘On the Theory of Optimal Investment Decision,’ Journal of Political Economy, vol. 46, pp. 329–52.

    Article  Google Scholar 

  • Houthakker, H. S. (1961) ‘The Present State of Consumption Theory: A Survey Article,’ Econometrica, vol. 29, pp. 704–40.

    Article  Google Scholar 

  • Koopmans, T. C. (1960) ‘Stationary Ordinary Utility and Impatience,’ Econometrica, vol. 28, pp. 287–309.

    Article  Google Scholar 

  • Koopmans, T. C. (1965) ‘On a Concept of Optimum Economic Growth,’ Pontificiae Academemiae Scientiarum Scripta Varia, pp. 225–87.

    Google Scholar 

  • Leontief, W. W. (1947) ‘Introduction to the Theory of Internal Structure of Functional Relationships,’ Econometrica, vol. 15, pp. 361–73.

    Article  Google Scholar 

  • Mills, F. D. (1969) ‘Time Preference, the Consumption Function, and Optimum Economic Growth,’ seminar in mathematical economics, no 11, University of Chicago.

    Google Scholar 

  • Ramsey, F. P. (1928) ‘A Mathematical Theory of Saving,’ Economic Journal, vol. 38, pp. 543–59.

    Article  Google Scholar 

  • Richter, M. (1960) ‘Revealed Preference Theory,’ Econometrica, vol. 34, pp. 635–45.

    Article  Google Scholar 

  • Strotz, R. H. (1957) ‘The Empirical Implications of a Utility Tree,’ Econometrica, vol. 25, pp. 269–80.

    Article  Google Scholar 

  • Uzawa, H. (1959) ‘Rational Choice and Preference in the Theory of Con sumption,’ in K. Arrow, S. Karlin, and P. Suppes (eds) Mathematical Methods in the Social Sciences, 1959, (Stanford: Stanford University Press).

    Google Scholar 

  • Uzawa, H. (1968) ‘Time Preference, the Consumption Function, and Optimum Asset Holdings,’ in J. N. Wolfe (ed.) Papers in Honour of Sir John Hicks; Value, Capital, and Growth, (Edinburgh: Edinburgh University Press).

    Google Scholar 

  • Uzawa, H. (1969) ‘Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth,’ Journal of Political Economy, vol. 77, pp. 628–52.

    Article  Google Scholar 

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Lionel W. McKenzie Stefano Zamagni

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© 1991 International Economic Association

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Uzawa, H. (1991). Time Preference and an Extension of the Fisher-Hicksian Equation. In: McKenzie, L.W., Zamagni, S. (eds) Value and Capital: Fifty Years Later. International Economic Association Series. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-11029-2_6

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