<p>The first statement does not seem to be true. The UPF exists in the space of utilities whereas the other curves (production, indifference) exist in the product space. As a result, the slope of the UPF may change if a monoton transformation is applied to one of the utility functions whereas the other curves and their slope will definitely not change.</p>

CC BY-SA 3.0
2016-12-02T21:14:30.833Z
2016-12-03T12:09:49.533Z
2016-12-03T12:09:49.533Z
Giskard
<p>The slope of the UPF must be equal to the slope of the MRT and the MRS. Is it therefore enough to show that the slope of the MRS is negative?</p>

<microeconomics>
Showing the Utility Possibilities Frontier is downward sloping
MHall
# Showing the Utility Possibilities Frontier is downward sloping

(Asked by: username_0 on 2016-12-02)

The slope of the UPF must be equal to the slope of the MRT and the MRS. Is it therefore enough to show that the slope of the MRS is negative?

**Tags:** microeconomics

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## 1 answers

### Answer by username_1 on 2016-12-02. Score: 1

The first statement does not seem to be true. The UPF exists in the space of utilities whereas the other curves (production, indifference) exist in the product space. As a result, the slope of the UPF may change if a monoton transformation is applied to one of the utility functions whereas the other curves and their slope will definitely not change.


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