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.
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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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F462add10-2257-4304-9d5f-be636932b046%2F33b175e4-b276-4a85-ac3e-35ef47b1740b%2F8pkmhtm_processed.jpeg&w=3840&q=75)
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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