A well-behaved utility function is assumed to exhibit monotonic and convex preferences. (1) Define monotonic preferences. Graphically illustrate that indifference curve is negatively sloped under this assumption. (2) Define a convex set and the weakly preferred set. Use the x-y diagram to draw the weakly preferred set for (x,.y,) and (x,y;) under the assumption of "convex preferences" and graphically illustrate the meaning of the assumption.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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A well-behaved utility function is assumed to exhibit monotonic and
convex preferences.
(1) Define monotonic preferences. Graphically illustrate that indifference curve is
negatively sloped under this assumption.
(2) Define a convex set and the weakly preferred set. Use the x-y diagram to
draw the weakly preferred set for (x,.y,) and (x,, y;) under the
assumption of "convex preferences" and graphically illustrate the meaning
of the assumption.
Transcribed Image Text:1. A well-behaved utility function is assumed to exhibit monotonic and convex preferences. (1) Define monotonic preferences. Graphically illustrate that indifference curve is negatively sloped under this assumption. (2) Define a convex set and the weakly preferred set. Use the x-y diagram to draw the weakly preferred set for (x,.y,) and (x,, y;) under the assumption of "convex preferences" and graphically illustrate the meaning of the assumption.
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