Suppose that you are buying a car and you are interested in both price and life span.
Question:
Suppose that you are buying a car and you are interested in both price and life span. You have narrowed your choices to three alternatives: the Portalo (a relatively expensive sedan with good life span), the Norushi (known for its reliability) and the Standard (a relatively inexpensive domestic car).
| Portalo | Norushi | Standard |
Price | $17,000 | $10,000 | $8000 |
Life Span (years) | 12 | 9 | 6 |
You have the following individual utility functions for price and life span:
Life Span | Price |
U L (6 years) = 0 | U P (17,000) = 0 |
U L (9 years) = 0.75 | U P (10,000) = 0.5 |
U L (12 years) = 1.00 | U P (8,000) = 1.0 |
Assume an additive utility model and set K L and K P as weights for life span and price respectively.
With K L = 0.45, calculate the utility for the three cars. Which would you choose?
Suppose that you are not completely comfortable with the assessment of K L = 0.45. How large could K L be before the decision changes and what would be the new choice? How small could K L be before the decision changes and what would be the new choice? Specify the values of K L for which each car is selected.
Introductory Econometrics A Modern Approach
ISBN: 978-0324660548
4th edition
Authors: Jeffrey M. Wooldridge