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A collection of (selected) indifference curves, illustrated graphically, is referred to as an indifference map. The slope of an indifference curve is called the MRS (marginal rate of substitution), and it indicates how much of good y must be sacrificed to keep the utility constant if good x is increased by one unit.
Whether indifference curves are primitive or derivable from utility functions; and; Whether indifference curves are convex. Assumptions are also made of a more technical nature, e.g. non-reversibility, saturation, etc. The pursuit of rigour is not always conducive to intelligibility. In this article indifference curves will be treated as primitive.
An indifference graph, formed from a set of points on the real line by connecting pairs of points whose distance is at most one. In graph theory, a branch of mathematics, an indifference graph is an undirected graph constructed by assigning a real number to each vertex and connecting two vertices by an edge when their numbers are within one unit of each other. [1]
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 ...
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 )} .
The indifference curves are straight lines (when there are two goods) or hyperplanes (when there are more goods). Each demand curve (demand as a function of price) is a step function : the consumer wants to buy zero units of a good whose utility/price ratio is below the maximum, and wants to buy as many units as possible of a good whose utility ...
The set of all these efficient points that could be traded to is the contract curve. In the graph below, the initial endowments of the two people are at point X, on Kelvin's indifference curve K 1 and Jane's indifference curve J 1. From there they could agree to a mutually beneficial trade to anywhere in the lens formed by these indifference ...
Indifference curves C 1, C 2 and C 3 are shown. Each of the different points on a particular indifference curve shows a different combination of risk and return, which provide the same satisfaction to the investors. Each curve to the left represents higher utility or satisfaction. The goal of the investor would be to maximize their satisfaction ...