Consider a lottery L which gives wealth with probability p and wealth y with probability 1 - p. Suppose an individual A with Bernoulli utility function u prefers L to the sure outcome wo. Show that an in dividual B with Bernoulli utility function who is less risk-averse than A also prefers to the sure outcome wo.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.1P
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Consider a lottery L which gives wealth with probability p and wealth
y with probability 1 - p. Suppose an individual A with Bernoulli utility
function u prefers L to the sure outcome wo. Show that an in dividual B
with Bernoulli utility function who is less risk-averse than A also prefers
I to the sure outcome wo.
Transcribed Image Text:Consider a lottery L which gives wealth with probability p and wealth y with probability 1 - p. Suppose an individual A with Bernoulli utility function u prefers L to the sure outcome wo. Show that an in dividual B with Bernoulli utility function who is less risk-averse than A also prefers I to the sure outcome wo.
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