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Convex preferences imply that the indifference curves cannot be concave to the origin, i.e. they will either be straight lines or bulge toward the origin of the indifference curve. If the latter is the case, then as a consumer decreases consumption of one good in successive units, successively larger doses of the other good are required to keep ...
The indifference relation ~ is an equivalence relation. Thus, we have a quotient set S/~ of equivalence classes of S, which forms a partition of S. Each equivalence class is a set of packages that are equally preferred. If there are only two commodities, the equivalence classes can be graphically represented as indifference curves. Based on the ...
A set of convex-shaped indifference curves displays convex preferences: Given a convex indifference curve containing the set of all bundles (of two or more goods) that are all viewed as equally desired, the set of all goods bundles that are viewed as being at least as desired as those on the indifference curve is a convex set. Convex ...
The theory of consumer choice is the branch of microeconomics that relates preferences to consumption expenditures and to consumer demand curves.It analyzes how consumers maximize the desirability of their consumption (as measured by their preferences subject to limitations on their expenditures), by maximizing utility subject to a consumer budget constraint. [1]
The indifference curves are L-shaped and their corners are determined by the weights. E.g., for the function min ( x 1 / 2 , x 2 / 3 ) {\displaystyle \min(x_{1}/2,x_{2}/3)} , the corners of the indifferent curves are at ( 2 t , 3 t ) {\displaystyle (2t,3t)} where t ∈ [ 0 , ∞ ) {\displaystyle t\in [0,\infty )} .
An example indifference curve is shown below: Each indifference curve is a set of points, each representing a combination of quantities of two goods or services, all of which combinations the consumer is equally satisfied with. The further a curve is from the origin, the greater is the level of utility.
The indifference curves fill the box but are only shown when tangential to some representative budget lines. The offer curves, drawn in Fig. 11, cross at three points shown by large grey dots and corresponding to exchange rates of 1 ⁄ 2, 1 and 2.
Indifference curves allow us to graphically define and rank all possible combinations of two commodities. [28] The graph's three main points are: If more is better, the indifference curve dips downward. Greater transitivity indicates that the indifference curves do not overlap. A propensity for diversity causes indifference curves to curve inward.