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<math>\frac{\partial x^i_n(p,m^i)}{\partial m} = \frac{\frac{\partial g(p)}{\partial p_n}}{g(p)}</math>, does not depend on income, and thus Engel curves are linear.
Also, since this change does not depend on [[Variable (mathematics)|variables]] particular to any individual, the slopes of the Engel curves of different individuals are equal.
== Application ==
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== References ==
* Honohan, Patrick, and Neary, J Peter. ''W. M. Gorman (1923–2003).'' The Economic and Social Review, Vol. 34, No. 2, Summer/Autumn, 2003, pp.
* W. M. Gorman. ''On a class of preference fields,'' Metroeconomica, 13, August 1961, 53-56.
* Antonelli, G. B., 1886. Sulla Teoria Matematica dell’Economia Politica, Pisa; English translation in J.S. Chipman, L. Hurwicz, M. K. Richter and H. F. Sonnenschein (eds.): Preferences, Utility and Demand: A Minnesota Symposium, New York: Harcourt Brace Jovanovich, 1971, pp.
* Nataf, A., 1953. “Sur des questions d’agrégation en économétrie,” Publications de
l’Institut de Statistique de l’Université de Paris, 2, Fasc. Vol. 4, pp.
==See also==
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