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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 ...
A mean-standard deviation indifference curve is defined as the locus of points (σ w, μ w) with σ w plotted horizontally, such that Eu(w) has the same value at all points on the locus. Then the derivatives of v imply that every indifference curve is upward sloped: that is, along any indifference curve dμ w / dσ w > 0.
For example, if the MRS xy = 2, the consumer will give up 2 units of Y to obtain 1 additional unit of X. As one moves down a (standardly convex) indifference curve, the marginal rate of substitution decreases (as measured by the absolute value of the slope of the indifference curve, which decreases).
Right graph: With fixed probabilities of two alternative states 1 and 2, risk averse indifference curves over pairs of state-contingent outcomes are convex. In economics and finance , risk aversion is the tendency of people to prefer outcomes with low uncertainty to those outcomes with high uncertainty, even if the average outcome of the latter ...
The function's slope represents the best fit line going through the indifference curves, representing wages and the probability of injury while at work. [15] The function is upward sloping due to the parallel relationship between wages and the undesirable qualities of a job; the more undesirable the job is, the higher the wages employees are ...
But the only points from which no mutually beneficial trade exists are the points of tangency between the two people's indifference curves, such as point E. The contract curve is the set of these indifference curve tangencies within the lens—it is a curve that slopes upward to the right and goes through point E.
The observed demand curve would slope upward, indicating positive elasticity. [12] Giffen goods were first noted by Sir Robert Giffen. It is usual to attribute Giffen's observation to the fact that in Ireland during the 19th century there was a rise in the price of potatoes.
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 ...