Situation 1 Suppose you have won $1000 on a game show. In addition to these winnings, youare now asked to choose between Option A: 50% chance of winning $1000 and 50% chance of winning nothing Option B: winning $500 for sure. Situation 2 Suppose you have won $2000 on a game show. In addition to these winnings, youare now asked to choose between Option C: 50% chance of losing $1000 and 50% chance of losing nothing Option D: losing $500 for sure. They found that respondents are much more likely to choose Option B in the first case and Option C in the second case. Suppose the respondents are not indifferent between options. Show that their choices are inconsistent with the Expected Utility Theory.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Situation 1
Suppose you have won $1000 on a game
show.
In addition to these winnings, youare now
asked to choose between
Option A: 50% chance of winning $1000 and
50% chance of winning nothing
Option B: winning $500 for sure.
Situation 2 Suppose you have won $2000 on
a game show.
In addition to these winnings, youare noW
asked to choose between
Option C: 50% chance of losing $1000 and
50% chance of losing nothing
Option D: losing $500 for sure.
They found that respondents are much more
likely to choose Option B in the first case and
Option C in the second case.
Suppose the respondents are not indifferent
between options. Show that their choices are
inconsistent with the Expected Utility Theory.
Transcribed Image Text:Situation 1 Suppose you have won $1000 on a game show. In addition to these winnings, youare now asked to choose between Option A: 50% chance of winning $1000 and 50% chance of winning nothing Option B: winning $500 for sure. Situation 2 Suppose you have won $2000 on a game show. In addition to these winnings, youare noW asked to choose between Option C: 50% chance of losing $1000 and 50% chance of losing nothing Option D: losing $500 for sure. They found that respondents are much more likely to choose Option B in the first case and Option C in the second case. Suppose the respondents are not indifferent between options. Show that their choices are inconsistent with the Expected Utility Theory.
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