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Can this preference relationship represented by a utility function? Show all details of your claim and its proof.

Can this preference relationship represented by a utility function? Show all details of your claim and its proof.

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question B.2 Consider the choice space X = N × N. For any two bundles x = (x1, x2) E X and y = (y1, Y2) e X define the relation 3, as follows: if and only if [x1 > Y1] or [x1 = Y1 and x2 < y2] x 3L Y Can this preference relationship represented by a utility function? Show all details of your claim and its proof.
Transcribed Image Text:Question B.2 Consider the choice space X = N × N. For any two bundles x = (x1, x2) E X and y = (y1, Y2) e X define the relation 3, as follows: if and only if [x1 > Y1] or [x1 = Y1 and x2 < y2] x 3L Y Can this preference relationship represented by a utility function? Show all details of your claim and its proof.
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