. Suppose there are two conditions faced by a consumer, 1 and 2. State 1 occurs with probability, and wi indicates the consumer's wealth for each state i. a) If the consumer is strictly risk averse and w1 = w2, show that the insurance company can provide insurance that keeps his wealth constant, both in conditions 1 and 2, so that he is better off and the insurance company gets the expected profit. b) Suppose there are many consumers and there are many insurance companies and the proper allocation is such that the wealth each consumer is constant, both under

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.4P
icon
Related questions
Question

Experts, I need help asap

22. Suppose there are two conditions faced by a consumer, 1 and 2. State 1 occurs with
probability n, and wi indicates the consumer's wealth for each state i.
a) If the consumer is strictly risk averse and w1 = w2, show that the insurance company
can provide insurance that keeps his wealth constant, both in conditions 1 and 2, so
that he is better off and the insurance company gets the expected profit.
b) Suppose there are many consumers and there are many insurance companies and the
proper allocation is such that the wealth each consumer is constant, both under
conditions 1 and 2. Suppose also that in this case, some consumers can insure others.
Show that the same level of wealth for consumers and the benefits expected by
insurance companies can be achieved with a reasonable allocation where no other
insured consumer.
Transcribed Image Text:22. Suppose there are two conditions faced by a consumer, 1 and 2. State 1 occurs with probability n, and wi indicates the consumer's wealth for each state i. a) If the consumer is strictly risk averse and w1 = w2, show that the insurance company can provide insurance that keeps his wealth constant, both in conditions 1 and 2, so that he is better off and the insurance company gets the expected profit. b) Suppose there are many consumers and there are many insurance companies and the proper allocation is such that the wealth each consumer is constant, both under conditions 1 and 2. Suppose also that in this case, some consumers can insure others. Show that the same level of wealth for consumers and the benefits expected by insurance companies can be achieved with a reasonable allocation where no other insured consumer.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Premium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Brief Principles of Macroeconomics (MindTap Cours…
Brief Principles of Macroeconomics (MindTap Cours…
Economics
ISBN:
9781337091985
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Essentials of Economics (MindTap Course List)
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning