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Gossen's second law : ウィキペディア英語版
Gossen's second law
Gossen's Second “Law”, named for Hermann Heinrich Gossen (1810–1858), is the assertion that an economic agent will allocate his or her expenditures such that the ratio of the marginal utility of each good or service to its price (the marginal expenditure necessary for its acquisition) is equal to that for every other good or service. Formally,
:\frac=\frac~\forall\left(i,j\right)
where
* U is utility
* x_i is quantity of the i-th good or service
* p_i is the price of the i-th good or service
== Informal derivation ==
Imagine that an agent has spent money on various sorts of goods or services. If the last unit of currency spent on goods or services of one sort bought a quantity with ''less'' marginal utility than that which would have been associated with the quantity of another sort that could have been bought with the money, then the agent would have been ''better off'' instead buying more of that other good or service. Assuming that goods and services are continuously divisible, the only way that it is possible that the marginal expenditure on one good or service should not yield more utility than the marginal expenditure on the other (or ''vice versa'') is if the marginal expenditures yield ''equal'' utility.

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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