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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). This is known as the law of diminishing marginal rate of substitution.
Indifference curves exhibit diminishing marginal rates of substitution; The marginal rate of substitution tells how much 'y' a person is willing to sacrifice to get one more unit of 'x'. [clarification needed] This assumption assures that indifference curves are smooth and convex to the origin.
In managerial economics, the unit of isoquant is commonly the net of capital cost. 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]
When indifference curves (which are essentially graphs of instantaneous rates of substitution) and the convexity of those curves are not taken as given, the "law" of diminishing marginal utility is invoked to explain diminishing marginal rates of substitution – a willingness to accept fewer units of good or service in substitution for as one ...
Revealed preference theory arose because existing theories of consumer demand were based on a diminishing marginal rate of substitution (MRS). This diminishing MRS relied on the assumption that consumers make consumption decisions to maximise their utility .
The slope of the curve (the negative of the marginal rate of substitution of X for Y) at any point shows the rate at which the individual is willing to trade off good X against good Y maintaining the same level of utility. The curve is convex to the origin as shown assuming the consumer has a diminishing marginal rate of substitution.
When relative input usages are optimal, the marginal rate of technical substitution is equal to the relative unit costs of the inputs, and the slope of the isoquant at the chosen point equals the slope of the isocost curve (see conditional factor demands). It is the rate at which one input is substituted for another to maintain the same level ...
Indifference curves exhibit diminishing marginal rates of substitution This assumption assures that indifference curves are smooth and convex to the origin and is implicit in the last assumption. This assumption also set the stage for using techniques of constrained optimization.