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  2. Expenditure function - Wikipedia

    en.wikipedia.org/wiki/Expenditure_function

    In microeconomics, the expenditure function represents the minimum amount of expenditure needed to achieve a given level of utility, given a utility function and the prices of goods. Formally, if there is a utility function u {\displaystyle u} that describes preferences over n goods, the expenditure function e ( p , u ∗ ) {\displaystyle e(p,u ...

  3. Slutsky equation - Wikipedia

    en.wikipedia.org/wiki/Slutsky_equation

    The right-hand side of the equation equals the change in demand for good i holding utility fixed at u minus the quantity of good j demanded, multiplied by the change in demand for good i when wealth changes. The first term on the right-hand side represents the substitution effect, and the second term represents the income effect. [1]

  4. Indirect utility function - Wikipedia

    en.wikipedia.org/wiki/Indirect_utility_function

    A consumer's indirect utility (,) can be computed from their utility function (), defined over vectors of quantities of consumable goods, by first computing the most preferred affordable bundle, represented by the vector (,) by solving the utility maximization problem, and second, computing the utility ((,)) the consumer derives from that ...

  5. Linear utility - Wikipedia

    en.wikipedia.org/wiki/Linear_utility

    E.g., the commodity is a heterogeneous resource, such as land. Then, the utility functions are not functions of a finite number of variables, but rather set functions defined on Borel subsets of the land. The natural generalization of a linear utility function to that model is an additive set function.

  6. Expected utility hypothesis - Wikipedia

    en.wikipedia.org/wiki/Expected_utility_hypothesis

    Standard utility functions represent ordinal preferences. The expected utility hypothesis imposes limitations on the utility function and makes utility cardinal (though still not comparable across individuals). Although the expected utility hypothesis is standard in economic modeling, it is violated in psychological experiments.

  7. Exponential utility - Wikipedia

    en.wikipedia.org/wiki/Exponential_utility

    Exponential utility implies constant absolute risk aversion (CARA), with coefficient of absolute risk aversion equal to a constant: ″ ′ =. In the standard model of one risky asset and one risk-free asset, [1] [2] for example, this feature implies that the optimal holding of the risky asset is independent of the level of initial wealth; thus on the margin any additional wealth would be ...

  8. Marginal rate of substitution - Wikipedia

    en.wikipedia.org/wiki/Marginal_rate_of_substitution

    Under the standard assumption of neoclassical economics that goods and services are continuously divisible, the marginal rates of substitution will be the same regardless of the direction of exchange, and will correspond to the slope of an indifference curve (more precisely, to the slope multiplied by −1) passing through the consumption bundle in question, at that point: mathematically, it ...

  9. Isoelastic utility - Wikipedia

    en.wikipedia.org/wiki/Isoelastic_utility

    Isoelastic utility for different values of . When > the curve approaches the horizontal axis asymptotically from below with no lower bound.. In economics, the isoelastic function for utility, also known as the isoelastic utility function, or power utility function, is used to express utility in terms of consumption or some other economic variable that a decision-maker is concerned with.