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In economics, utility is a measure of a certain person's satisfaction from a certain state of the world. Over time, the term has been used with at least two meanings. In a normative context, utility refers to a goal or objective that we wish to maximize, i.e., an objective function.
Finding (,) is the utility maximization problem. If u is continuous and no commodities are free of charge, then (,) exists, [4] but it is not necessarily unique. If the preferences of the consumer are complete, transitive and strictly convex then the demand of the consumer contains a unique maximiser for all values of the price and wealth ...
Utility Possibility Frontier. In welfare economics, a utility–possibility frontier (or utility possibilities curve), is a widely used concept analogous to the better-known production–possibility frontier. The graph shows the maximum amount of one person's utility given each level of utility attained by all others in society. [1]
With ordinal utility, a person's preferences do not have a unique marginal utility, making the concept of diminishing marginal utility irrelevant. On the other hand, diminishing marginal utility is a significant concept in cardinal utility , which is used to analyse intertemporal choice , choice under uncertainty , and social welfare in modern ...
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 ...
At a given point on the possibility function, if the utility of all but one person is determined, the remaining person's utility is determined. The welfare function ranks different hypothetical sets of utility for everyone in the society from ethically lowest on up (with ties permitted), that is, it makes interpersonal comparisons of utility ...
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Such utility functions are also called von Neumann–Morgenstern (vNM). This is a central theme of the expected utility hypothesis in which an individual chooses not the highest expected value but rather the highest expected utility. The expected utility-maximizing individual makes decisions rationally based on the theory's axioms.