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词条 Stone–Geary utility function
释义

  1. References

  2. Further reading

The Stone–Geary utility function takes the form

where is utility, is consumption of good , and and are parameters.

For , the Stone–Geary function reduces to the generalised Cobb–Douglas function.

The Stone–Geary utility function gives rise to the Linear Expenditure System,[1] in which the demand function equals

where is total expenditure, and is the price of good .

The Stone–Geary utility function was first derived by Roy C. Geary,[2] in a comment on earlier work by Lawrence Klein and Herman Rubin.[3] Richard Stone was the first to estimate the Linear Expenditure System.[4]

References

1. ^{{cite book |first=Hal |last=Varian |authorlink=Hal Varian |title=Microeconomic Analysis |location=New York |publisher=Norton |edition=Third |year=1992 |isbn=0-393-95735-7 |pages=210–213 [p. 212] |chapter=Estimating consumer demands |chapterurl=https://books.google.com/books?id=m20iQAAACAAJ&pg=PA210 }}
2. ^{{cite journal |first=Roy C. |last=Geary |title=A Note on ‘A Constant-Utility Index of the Cost of Living’ |journal=Review of Economic Studies |volume=18 |issue=2 |pages=65–66 |year=1950 |jstor=2296107 }}
3. ^{{cite journal |first=L. R. |last=Klein |first2=H. |last2=Rubin |title=A Constant-Utility Index of the Cost of Living |journal=Review of Economic Studies |volume=15 |issue=2 |year=1947–8 |pages=84–87 |jstor=2295996 }}
4. ^{{cite journal |first=Richard |last=Stone |title=Linear Expenditure Systems and Demand Analysis: An Application to the Pattern of British Demand |journal=Economic Journal |volume=64 |issue=255 |year=1954 |pages=511–527 |jstor=2227743 }}

Further reading

  • {{cite book |authorlink=J. Peter Neary |first=J. Peter |last=Neary |chapterurl=http://www.ucd.ie/economic/staff/pneary/pdf/geary97.pdf |year=1997 |chapter=R.C. Geary's Contributions to Economic Theory |editor-first=D. |editor-last=Conniffe |title=R.C. Geary, 1893–1983: Irish Statistician |publisher=Oak Tree Press |location=Dublin |isbn= |deadurl=yes |archiveurl=https://web.archive.org/web/20050325205914/http://www.ucd.ie/economic/staff/pneary/pdf/geary97.pdf |archivedate=2005-03-25 |df= }}
  • {{cite book |first=Eugene |last=Silberberg |first2=Wing |last2=Suen |title=The Structure of Economics: A Mathematical Analysis |location=Boston |publisher=Irwin McGraw-Hill |edition=Third |year=2001 |isbn=0-07-234352-4 |chapter=Empirical Estimation and Functional Forms |pages=357–363 |chapterurl=https://books.google.com/books?id=7y9lQgAACAAJ&pg=PA357 }}
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1 : Utility function types

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