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almost ideal demand system : ウィキペディア英語版
almost ideal demand system
The Almost Ideal Demand System (AIDS) (1980) is a consumer demand model used primarily by economists to study consumer behavior. The AIDS model gives an arbitrary first-order approximation to any demand system and has many desirable qualities of demand systems. For instance it satisfies the axioms of order, aggregates over consumers without invoking parallel linear Engel curves, is consistent with budget constraints, and is simple to estimate.
==Model==
The AIDS model is based on a first specification of a cost/expenditure function c(u,p):
:\log(c(u,p))=\alpha_+\sum_\alpha_\log(p_)+\frac\sum_\sum_\gamma_^\log(p_)\log(p_)+u\beta_\prod_p_^=\alpha_+\sum_\gamma_\log(p_)+\beta_\log\
with x total expenditures, \gamma_=1/2(\gamma^
*_+\gamma^
*_), and P is a price index:
: \log(P)\equiv\alpha_+\sum_\alpha_\log(p_)+\frac\sum_\sum_\gamma_\log(p_)\log(p_) .
Under relevant constraints on the parameters \alpha, \beta, \gamma, These budget shares equations share the properties of a demand function:
* homogoeneous of degree 0 in prices and total expenditure
* sum of budget shares add up to 1 (i.e., \sum w_i=1)
* satisfy the symmetry of the Slutsky matrix

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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