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The negative slope of the indifference curve incorporates the willingness of the consumer to make trade offs. [9] If two goods are perfect substitutes then the indifference curves will have a constant slope since the consumer would be willing to switch between at a fixed ratio. The marginal rate of substitution between perfect substitutes is ...
At this equilibrium point, the slope of the highest indifference curve must equal the slope of the production function. Recall that the marginal rate of substitution is the rate at which a consumer is ready to give up one good in exchange for another good while maintaining the same level of utility. [ 6 ]
As such, isoquants by nature are downward sloping due to operation of diminishing marginal rates of technical substitution (MRTS). [3] [4] The slope of an isoquant represents the rate at which input x can be substituted for input y. [5] This concept is the MRTS, so MRTS=slope of the isoquant. Thus, the steeper the isoquant, the higher the MRTS.
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).
The utility function for perceived gains has two key properties: an upward slope, and concavity. (i) The upward slope implies that the person feels that more is better: a larger amount received yields greater utility, and for risky bets the person would prefer a bet which is first-order stochastically dominant over an alternative bet (that is ...
Middle graph: In standard deviation-expected value space, risk averse indifference curves are upward sloped. Right graph : With fixed probabilities of two alternative states 1 and 2, risk averse indifference curves over pairs of state-contingent outcomes are convex.
This translates to a linear expansion path in income: the slope of indifference curves is constant along rays beginning at the origin. [1]: 482 This is to say, the Engel curve for each good is linear. Furthermore, the indirect utility function can be written as a linear function of wealth :
An example of preferences which are weakly monotonic but not strongly monotonic are those represented by a Leontief utility function. If an agent has monotone preferences which means the marginal rate of substitution of the agent's indifference curve is positive. Given two products X and Y.