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]


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