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Diminishing marginal utility is traditionally a microeconomic concept and often holds for an individual, although the marginal utility of a good or service might be increasing as well. For example, dosages of antibiotics, where having too few pills would leave bacteria with greater resistance, but a full supply could affect a cure.
Gossen's First Law is the "law" of diminishing marginal utility: that marginal utilities are diminishing across the ranges relevant to decision-making. Gossen's Second Law , which presumes that utility is at least weakly quantified, is that in equilibrium an agent will allocate expenditures so that the ratio of marginal utility to price ...
The law of diminishing marginal utility implies that poorer people will gain more utility from money for additional spending than the wealthy. For instance, if a homeless family is given a gift certificate for a house, they will be able to use it to provide shelter for themselves.
One use of the indirect utility concept is the notion of the utility of money. The (indirect) utility function for money is a nonlinear function that is bounded and asymmetric about the origin. The utility function is concave in the positive region, representing the phenomenon of diminishing marginal utility. The boundedness represents the fact ...
Convex preferences with their associated convex indifference mapping arise from quasi-concave utility functions, although these are not necessary for the analysis of preferences. For example, Constant Elasticity of Substitution (CES) utility functions describe convex, homothetic preferences.
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For example, a solid cube is convex; however, anything that is hollow or dented, for example, a crescent shape, is non‑convex. Trivially, the empty set is convex. More formally, a set Q is convex if, for all points v 0 and v 1 in Q and for every real number λ in the unit interval [0,1], the point (1 − λ) v 0 + λv 1. is a member of Q.
Within marginal utility, the law of diminishing marginal utility describes that the benefit to a consumer of an additional unit is inversely related to the number of current units, demonstrating that the added benefit of each new unit is less than the unit prior. [2] An example of this could be demonstrated by a family buying dinner.