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Leontief utilities : ウィキペディア英語版
Leontief utilities

In economics and consumer theory, a Leontief utility function is a function of the form:
u(x_1,\ldots,x_m)=\min\left\,\ldots,\frac\right\}.
where:
* m is the number of different goods in the economy.
* x_i (for i\in 1,\dots,m) is the amount of good i in the bundle..
* w_i (for i\in 1,\dots,m) is the weight of good i for the consumer.
This form of utility function was first conceptualized by Wassily Leontief.
== Examples ==
Leontief utility functions represent complementary goods. For example:
* Suppose x_1 is the number of left shoes and x_2 the number of right shoes. A consumer can only use pairs of shoes. Hence, his utility is \min(x_1,x_2).
* In a cloud computing environment, there is a large server that runs many different tasks. Suppose a certain type of a task requires 2 CPUs, 3 gigabytes of memory and 4 gigabytes of disk-space to complete. The utility of the user is equal to the number of completed tasks. Hence, it can be represented by: \min(, , ).

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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