Gorman polar form: Difference between revisions

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== Gorman's form of the expenditure function ==

Gorman's first published paper in 1953 developed these ideas in order to answer the question of representing a society by a single individual. In 1961, Gorman published a short, four-page paper in ''Metroeconomica'' which derived an explicit expression for the functional form of preferences which give rise to linear Engel curves. The [[expenditure function]] of each consumer <math>i</math> (the amount of money required to reach a certain utility level in a certain price system) must be linear in utility:

:<math> e^i \left (p, u^i \right ) = f^i(p) + g(p) \cdot u^i </math>,

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== References ==

{{Reflist}}

*{{cite book |last=Antonelli |first=G. B. |year=1886 |title=Sulla Teoria Matematica dell’Economia Politica |___location=Pisa }} English translation in {{cite book |editor1-first=J. S. |editor1-last=Chipman |editor2-first=L. |editor2-last=Hurwicz |editor3-first=M. K. |editor3-last=Richter |editor4-first=H. F. |display-editors = 3 |editor4-last=Sonnenschein |title=Preferences, Utility and Demand: A Minnesota Symposium |___location=New York |publisher=Harcourt Brace Jovanovich |year=1971 |pages=333–360 |isbn= }}

*{{cite journal |first=W. M. |last=Gorman |title=On a class of preference fields |journal=Metroeconomica |volume=13 |year=1961 |pages=53–56 |doi= }}