James can afford to buy one of three cars: the Aleph, the Beth or the Gimel. He rates them on three criteria. On looks he rates the Aleph best, the Beth second best and the Gimel the worst. On road handling he rates the Beth the best, the Gimel second best and the Aleph worst. Finally, on safety he rates the Gimel the best, the Aleph second best and the Beth worst. He decides that he weakly prefers one car (say A) to another (say B) if and only if he prefers A to B on at least as many of these three criteria as he prefers B to A. He strongly prefers A to B if he weakly prefers A to B and doesn't weakly prefer B to A. Are the following statements true or false? Briefly justify your answers. (a) (b) James strongly prefers Aleph to Beth. James weakly prefers Gimel to Beth. James weakly prefers Gimel to Aleph.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
2. Answer all parts (a) - (g) of this question.
James can afford to buy one of three cars: the Aleph, the Beth or the Gimel. He rates them
on three criteria. On looks he rates the Aleph best, the Beth second best and the Gimel the
worst. On road handling he rates the Beth the best, the Gimel second best and the Aleph worst.
Finally, on safety he rates the Gimel the best, the Aleph second best and the Beth worst. He
decides that he weakly prefers one car (say A) to another (say B) if and only if he prefers A to
B on at least as many of these three criteria as he prefers B to A. He strongly prefers A to B if
he weakly prefers A to B and doesn't weakly prefer B to A. Are the following statements true
or false? Briefly justify your answers.
(a)
(b)
(d)
James strongly prefers Aleph to Beth.
James weakly prefers Gimel to Beth.
James weakly prefers Gimel to Aleph.
James' preference relation satisfies completeness.
Transcribed Image Text:2. Answer all parts (a) - (g) of this question. James can afford to buy one of three cars: the Aleph, the Beth or the Gimel. He rates them on three criteria. On looks he rates the Aleph best, the Beth second best and the Gimel the worst. On road handling he rates the Beth the best, the Gimel second best and the Aleph worst. Finally, on safety he rates the Gimel the best, the Aleph second best and the Beth worst. He decides that he weakly prefers one car (say A) to another (say B) if and only if he prefers A to B on at least as many of these three criteria as he prefers B to A. He strongly prefers A to B if he weakly prefers A to B and doesn't weakly prefer B to A. Are the following statements true or false? Briefly justify your answers. (a) (b) (d) James strongly prefers Aleph to Beth. James weakly prefers Gimel to Beth. James weakly prefers Gimel to Aleph. James' preference relation satisfies completeness.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Total Surplus
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
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education