u(bike) = u(nothing) + x u(car) = u(bike) + y a >0 y > 0 %3D Suppose that Ann prefers L to the bike. What constraint concerning x and y (in addition to the constraints just stated) implies utility assignments for the three prizes (nothing, bike, and car) that make the principle of maximizing expected utility agree with Ann's preference? Oy < 3x O y > 3x y > 2x Oy >x Oy = 0, a = 0 Any value of a and y are consistent with expected utility theory. No values of a and y are consistent with expected utility theory.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let L be a lottery that provides a 1/4 chance of winning a car and a 3/4 chance of winning
nothing. Also, assume that a bike is a separate possible prize. And assume the following:
u(bike) = u(nothing) + a
u(car) = u(bike) + y
x >0
y > 0
Suppose that Ann prefers L to the bike. What constraint concerning x and y (in addition to
the constraints just stated) implies utility assignments for the three prizes (nothing, bike, and
car) that make the principle of maximizing expected utility agree with Ann's preference?
y < 3x
O y > 3x
y > 2x
y > x
y = 0, x = 0
Any value of a and y are consistent with expected utility theory.
No values of æ and y are consistent with expected utility theory.
Transcribed Image Text:Let L be a lottery that provides a 1/4 chance of winning a car and a 3/4 chance of winning nothing. Also, assume that a bike is a separate possible prize. And assume the following: u(bike) = u(nothing) + a u(car) = u(bike) + y x >0 y > 0 Suppose that Ann prefers L to the bike. What constraint concerning x and y (in addition to the constraints just stated) implies utility assignments for the three prizes (nothing, bike, and car) that make the principle of maximizing expected utility agree with Ann's preference? y < 3x O y > 3x y > 2x y > x y = 0, x = 0 Any value of a and y are consistent with expected utility theory. No values of æ and y are consistent with expected utility theory.
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