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The negative slope of the indifference curve reflects the assumption of the monotonicity of consumer's preferences, which generates monotonically increasing utility functions, and the assumption of non-satiation (marginal utility for all goods is always positive); an upward sloping indifference curve would imply that a consumer is indifferent ...
The consumer's demand is always to get the goods in constant ratios determined by the weights, i.e. the consumer demands a bundle (, …,) where is determined by the income: = / (+ +). [1] Since the Marshallian demand function of every good is increasing in income, all goods are normal goods .
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.
In other words: a preference relation is quasilinear if there is one commodity, called the numeraire, which shifts the indifference curves outward as consumption of it increases, without changing their slope. In the two dimensional case, the indifference curves are parallel. This is useful because it allows the entire utility function to be ...
Depending on the indifference curves, as income increases, the quantity purchased of a good can either increase, decrease or stay the same. In the figure below, good Y is a normal good since the amount purchased increased as the budget constraint shifted from BC1 to the higher income budget constraint, BC2.
An indifference curve can be detected in a market when the economics of scope is not overly diverse, or the goods and services are part of a perfect market. Any bundles on the same indifference curve have the same utility level. One example of this is deodorant. Deodorant is similarly priced throughout several different brands.
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.
A good is classified as a normal good when the income elasticity of demand is greater than zero and has a value less than one. If we look into a simple hypothetical example, the demand for apples increases by 10% for a 30% increase in income, then the income elasticity for apples would be 0.33 and hence apples are considered to be a normal good.