Let there be two goods and suppose John has preferences over R20 which can be represented by the utility function u (x₁, x2) = min {x₁,2x2}. Which of the following are true: John's preferences satisfy both transitivity and strong monotonicity. John's preferences violate both transitivity and strong monotonicity.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.2P
icon
Related questions
Question

Choose the two answer

Q2.
a)
b)
c)
d)
e)
f)
g)
h)
Let there be two goods and suppose John has preferences over Ro
which can be represented by the utility function u (x₁, x₂) = min {x₁, 2x2}.
Which of the following are true:
John's preferences satisfy both transitivity and strong monotonicity.
John's preferences violate both transitivity and strong monotonicity.
John's preferences satisfy both convexity and strict convexity.
John's preferences violate both convexity and strict convexity.
John's preferences can also be represented by the utility function
u (x1, x2) = min {4x1,8x2}
John's preferences can also be represented by the utility function
u (x1, x2) = min {2x1, x2}
John's preferences can also be represented by the utility function
u (x₁, x₂) = = -max {x₁, 2x₂}
John's preferences can also be represented by the utility function
u (x₁, x2) = √min {x₁,2x2}
Transcribed Image Text:Q2. a) b) c) d) e) f) g) h) Let there be two goods and suppose John has preferences over Ro which can be represented by the utility function u (x₁, x₂) = min {x₁, 2x2}. Which of the following are true: John's preferences satisfy both transitivity and strong monotonicity. John's preferences violate both transitivity and strong monotonicity. John's preferences satisfy both convexity and strict convexity. John's preferences violate both convexity and strict convexity. John's preferences can also be represented by the utility function u (x1, x2) = min {4x1,8x2} John's preferences can also be represented by the utility function u (x1, x2) = min {2x1, x2} John's preferences can also be represented by the utility function u (x₁, x₂) = = -max {x₁, 2x₂} John's preferences can also be represented by the utility function u (x₁, x2) = √min {x₁,2x2}
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Utility Function
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
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
Principles of Microeconomics
Principles of Microeconomics
Economics
ISBN:
9781305156050
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Microeconomics (MindTap Course List)
Principles of Microeconomics (MindTap Course List)
Economics
ISBN:
9781305971493
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,