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TANGENCY: A geometric condition that occurs when two curves touch at a single point with identical slopes at that point. This condition of tangency surfaces in several different areas of economic analysis, including indifference curve analysis (tangency between an indifference curve and budget line) and monopolistic competition (tangency between demand curve and long-run average cost curve). The tangency between two curves should be contrasted with the condition of intersection, in which two cross at a single point but do not have identical slopes.

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MARGINAL UTILITY OF INCOME

The change in utility resulting from a given change in income. This is a specialized case of the general notion of marginal utility, which is simply the change in utility resulting from a given change in the consumption of a good. Marginal utility of income is key to identifying alternative risk preferences, including risk aversion, risk neutrality, and risk loving. These three risk preferences are indicated by three marginal utility of income possibilities, decreasing (risk aversion), increasing (risk loving), and constant (risk neutrality).

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