Is Mrs Always Negative?
The Marginal Rate of Substitution (Mrs) Is the Slope of the Indifference Curve. .. . for the Downward-Sloping Convex Indifference Curves Which Result from...
The marginal rate of substitution (MRS) is the slope of the indifference curve. ... For the downward-sloping convex indifference curves which result from well- behaved preferences, the MRS is always negative, and always decreases (becomes greater in absolute value) as the amount of good x decreases.
Is marginal rate of substitution positive or negative?
Formal Definition of the Marginal Rate of Substitution
Note that the MRS is negative, because we are giving up some of x2 (so ∆x2 is negative) to get some of ∆x1 (so ∆x1 is positive). A negative divided by a positive is a negative, so it follows that the MRS is negative.
What does a negative MRS mean?
When the law of diminishing MRS is in effect, the MRS forms a downward, negative sloping, convex curve showing more consumption of one good in place of another.