Stone-Geary utility function

Stone-Geary utility function

The Stone-Geary utility function takes the form:U = prod_{i} (q_i-gamma_i)^{eta_{iwhere U is utility, q_i is consumption of good i, and eta and gamma are parameters.

For gamma_i = 0, the Stone-Geary function reduces to the generalised Cobb-Douglas function.

The Stone-Geary utility function gives rise to the Linear Expenditure System, in which the demand function equals:q_i = gamma_i + frac{eta_i}{p_i} (y - sum_j gamma_j p_j) where y is total expenditure, and p_i is the price of good i.

The Stone-Geary utility function was first derived by Roy C. Geary in a comment on earlier work by Lawrence Klein and Herman Rubin. Richard Stone was the first to estimate the Linear Expenditure System.

ource

[http://www.ucd.ie/economic/staff/pneary/pdf/geary97.pdf J. Peter Neary (1997), 'R.C. Geary's Contributions to Economic Theory', in D. Conniffe (ed.), "R.C. Geary, 1893-1983: Irish Statistician", Oak Tree Press, Dublin]


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Roy C. Geary — Dr. Robert (Roy) Charles Geary was an Irish statistician who lived from 1896 to 1983. He held degrees from University College Dublin and the Sorbonne. He lectured in mathematics at University College Southampton (1922 23) and in applied economics …   Wikipedia

  • Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

  • France — /frans, frahns/; Fr. /frddahonns/, n. 1. Anatole /ann nann tawl /, (Jacques Anatole Thibault), 1844 1924, French novelist and essayist: Nobel prize 1921. 2. a republic in W Europe. 58,470,421; 212,736 sq. mi. (550,985 sq. km). Cap.: Paris. 3.… …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”