Microeconomics
21st Edition
ISBN: 9781259915550
Author: McConnell
Publisher: MCG
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Chapter 8, Problem 10DQ
To determine
Self-interest behavior.
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Abdul’s utility function is given by U A 5 M A 2 y M B , where M A is Abdul’s wealth level and M B is Benjamin’s wealth level. Benjamin’s utility function is given by (LO1) U B 5 M B 2 y M A . Suppose M A 5 M B 5 10 initially, and suppose there is a joint project that Ab dul and Benjamin can undertake that will generate an additional 10 units of wealth to divide between them. The project is neither pleasant nor unpleasant. What is the minimum payment Abdul must be given to secure his agreement to perform the project? What is the minimum payment Benjamin must be given? Will they perform the project? (LO1)
Consider the following compound lottery, described in words:
"The probability that the price of copper increases tomorrow is objectively determined to be 0.5. If it increases, then tomorrow I will flip a coin to determine a monetary payout that you will receive: if the flip is Heads, you win $100, while if it is Tails, you win $50. If it does not increase, then I will roll a 10-sided die (assume each side is equally likely to be rolled). If the die roll is a 4 or lower, you will win $100. If it is a 5, then you will win $200, and if it is a 6 or greater, you will win $50."
Fill in the blanks below for the reduced lottery that corresponds to this compound lottery (write in decimals).
R= ( , $50; , $100; , $200)
One type of systematic error arises because people tend to think of benefits in percentage terms rather than in absolute dollar amounts. As an example, Samir is willing to drive 20 minutes out of his way to save $4 on a grocery item that costs $10 at a local market. But he is unwilling to drive 20 minutes out of his way to save $10 on a laptop that costs $400 at a local store. In percentage terms, how big is the savings on the grocery item? On the laptop? In absolute terms, how big is the savings on the grocery item? On the laptop? If Samir is willing to sacrifice 20 minutes of his time to save $4 in one case, shouldn’t he also be willing to sacrifice 20 minutes of his time to save $10?
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