: Marginal Rate of Substitution

Marginal Rate of Substitution, or MRS, measures the amount of one good that a consumer can sacrifice in order to gain an additional unit of another good while maintaining the same level of satisfaction. For example, if the MRS of books for movie tickets is 2, it means that the consumer is willing to sacrifice two movie tickets to obtain one additional book in order to maintain equal satisfaction.

The downward slope of the indifference curve is due to diminishing MRS. This is because the consumer's marginal rate of utility of consuming any good declines as the consumption of that good is increased, the consumption of another good to make up for the one unit loss of the first good should be decreased for the consumer to remain on the same level of satisfaction.

Diminishing MRS

The MRS changes along the indifference curve. In the example of books and movie tickets, as the consumer acquires more books, they are willing to give up fewer and fewer movie tickets for each additional book. This is because the fewer movies the consumer watches, the more valuable each movie becomes. This means the MRS is diminishing.

Increased income through additional workdays and fewer holidays can allow a person to afford a larger apartment with more bedrooms. For instance, Nancy, by choosing to work more and reduce her holiday time, can achieve this upgrade in her living space. The indifference curve, or IC, graphically represents these preferences, illustrating the trade-off between the desire for a larger apartment with more bedrooms and the number of holidays she can enjoy.

The marginal rate of substitution is always negative because it reflects the quantity of one good that is sacrificed to gain a quantity of another good under a fixed budget.

Initially, Nancy gives up six holidays for a larger apartment with one additional bedroom.

As she continues trading off holidays for a larger apartment with two additional bedrooms, her willingness to give up even more holidays decreases. This is because as she has fewer holidays, each remaining holiday has more value to her.

For example, when moving from Point D to Point E, she trades one holiday for a larger apartment with one more additional bedroom. So, her MRS decreases, giving the indifference curve its convex shape.