Question One O Zabron has preferences > for Champagne (good 1) and Wine (good 2) defined by: (x, x2) > (21, 2) e min (x1, x2) 2 min (z), z2) and max (x, x2) 2 max (z,, z2) Are Zabron's preferences complete? Transitive? Locally Non – satiable? Convex? Justify your answers and draw the No-worse-Than, No-Better-Than and the Indifference set of a representative bundle. m) Suppose that Zabron's preferences > can be represented by a continuous utility function. Show that > satisfies Axioms 1 (Completeness), 2 (Transitivity) and 3 (Continuity).

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter21: The Theory Of Consumer Choice
Section: Chapter Questions
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Question One
) Zabron has preferences > for Champagne (good 1) and Wine (good 2) defined by.
(x1, x2) > (21, 22) e min (x, x2) 2 min (z1. z2) and max (x, x2) 2 max (z,, 2)
Are Zabron's preferences complete? Transitive? Locally Non – satiable? Convex? Justify your answers and
draw the No-worse-Than, No-Better-Than and the Indifference set of a representative bundle.
(i) Suppose that Zabron's preferences > can be represented by a continuous utility function. Show that >
satisfies Axioms 1 (Completeness), 2 (Transitivity) and 3 (Continuity).
Transcribed Image Text:Question One ) Zabron has preferences > for Champagne (good 1) and Wine (good 2) defined by. (x1, x2) > (21, 22) e min (x, x2) 2 min (z1. z2) and max (x, x2) 2 max (z,, 2) Are Zabron's preferences complete? Transitive? Locally Non – satiable? Convex? Justify your answers and draw the No-worse-Than, No-Better-Than and the Indifference set of a representative bundle. (i) Suppose that Zabron's preferences > can be represented by a continuous utility function. Show that > satisfies Axioms 1 (Completeness), 2 (Transitivity) and 3 (Continuity).
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