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The negative slope of the indifference curve implies that the marginal rate of substitution is always positive; Complete, such that all points on an indifference curve are ranked equally preferred and ranked either more or less preferred than every other point not on the curve. So, with (2), no two curves can intersect (otherwise non-satiation ...
Rational normal curve; Rose curve; Curves with genus 1 ... Indifference curve; J curve; Kuznets curve ... An elementary treatise on cubic and quartic curves by Alfred ...
Figure 4: Comparison of indifference curves of perfect and imperfect substitutes. Imperfect substitutes, also known as close substitutes, have a lesser level of substitutability, and therefore exhibit variable marginal rates of substitution along the consumer indifference curve. The consumption points on the curve offer the same level of ...
For example, if a consumer likes texting, but is neutral about the data package on his phone contract, then increasing the data allowance does not alter his utility. An indifference curve—constructed with data allowance on the Y axis and text allowance is on the X axis forms a vertical line. [2]
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 )} .
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.
The normal distribution, also called the Gaussian or the bell curve. It is ubiquitous in nature and statistics due to the central limit theorem: every variable that can be modelled as a sum of many small independent, identically distributed variables with finite mean and variance is approximately normal. The normal-exponential-gamma distribution
Good Y is a normal good since the amount purchased increases from Y1 to Y2 as the budget constraint shifts from BC1 to the higher income BC2. Good X is an inferior good since the amount bought decreases from X1 to X2 as income increases. In economics, inferior goods are those goods the demand for which falls with increase in income of the consumer.