"Regular-looking" indifference curves - ones you may be familiar with from previous econ courses - typically slope downward (weakly, i.e. they may have horizontal or vertical segments) and are bent toward the origin. There are typically an infinite number of them covering the entire space, and they never cross. Consider the following strange indifference curves defining preferences over the consumption set X = R?. For each one, explain which of the axiom(s) (A1, A2, A3, A4', A4, A5', A5) are violated.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.9P
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2. "Regular-looking" indifference curves - ones you may be familiar with from previous econ courses
typically slope downward (weakly, i.e. they may have horizontal or vertical segments) and are bent
toward the origin. There are typically an infinite number of them covering the entire space, and they
never cross. Consider the following strange indifference curves defining preferences over the consumption
set X = R?. For each one, explain which of the axiom(s) (A1, A2, A3, A4', A4, A5', A5) are violated.
(a) The entire upper quadrant, R², is completely covered by just three indifference sets.
(b) Indifference curves are positively sloped.
(c) Indifference curves are bent away from the origin.
(d) There is a gap at point (5,5); it doesn't belong to any indifference curve.
Transcribed Image Text:2. "Regular-looking" indifference curves - ones you may be familiar with from previous econ courses typically slope downward (weakly, i.e. they may have horizontal or vertical segments) and are bent toward the origin. There are typically an infinite number of them covering the entire space, and they never cross. Consider the following strange indifference curves defining preferences over the consumption set X = R?. For each one, explain which of the axiom(s) (A1, A2, A3, A4', A4, A5', A5) are violated. (a) The entire upper quadrant, R², is completely covered by just three indifference sets. (b) Indifference curves are positively sloped. (c) Indifference curves are bent away from the origin. (d) There is a gap at point (5,5); it doesn't belong to any indifference curve.
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