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quasilinear utility : ウィキペディア英語版
quasilinear utility
In economics and consumer theory, quasilinear utility functions are linear in one argument, generally the numeraire. This utility function has the representation u(x_1, x_2, \ldots, x_n) = x_1 + \theta (x_2, \ldots, x_n). In two dimensional case, the indifference curves are parallel; which is useful because the entire utility function can be determined from a single indifference curve. If \theta is concave, this has the interpretation that the marginal rate of substitution is diminishing, which is typical of a utility function.
==Definition in terms of preferences==
Quasilinearity can also be defined as a property of ordinal preferences directly: \preceq is quasilinear if x \sim y implies (x + \alpha e_1) \sim (y + \alpha e_1), where e_1 = (1, 0, 0, \ldots, 0) and \alpha is a real number. The two definitions are equivalent in the case of a convex consumption set with continuous preferences that are locally non-satiated in the first argument.
Informally, an agent has quasilinear utility if it can express all its preferences in terms of money and the amount of money it has will not create a wealth effect. As a practical matter in mechanism design, quasilinear utility ensures that agents can compensate each other with side payments. In regard to surplus, quasilinear preferences entail that Marshallian surplus will equal Hicksian surplus since there would be no wealth effect for a change in price.

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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