Three friends i = 1, 2, 3 get together for a few drinks and decide to share the total bill equally. Friend i's preferences are represented by the utility function u₁(x₁, y₁) = 2√x-y₁. where x; is the number of drinks that i consumes and y; is the amount of money that i pays. Each drink costs $1. (a) Describe the strategic game generated by this situation.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

this is not graded paper, I have made these practice questions myself. Dont reject it.

Three friends i = 1, 2, 3 get together for a few drinks and decide to share the total bill
equally. Friend i's preferences are represented by the utility function
u¡ (x₁, y₁) = 2√√√x¡ — Yi ·
where x; is the number of drinks that i consumes and y; is the amount of money that i
pays. Each drink costs $1.
(a) Describe the strategic game generated by this situation.
(b) How many drinks will these friends have at the Nash equilibrium of the game
generated by this situation? Is the Nash equilibrium a dominant-strategy
equilibrium? Explain.
(c) Is this Nash equilibrium efficient? Explain.
Transcribed Image Text:Three friends i = 1, 2, 3 get together for a few drinks and decide to share the total bill equally. Friend i's preferences are represented by the utility function u¡ (x₁, y₁) = 2√√√x¡ — Yi · where x; is the number of drinks that i consumes and y; is the amount of money that i pays. Each drink costs $1. (a) Describe the strategic game generated by this situation. (b) How many drinks will these friends have at the Nash equilibrium of the game generated by this situation? Is the Nash equilibrium a dominant-strategy equilibrium? Explain. (c) Is this Nash equilibrium efficient? Explain.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Bayesian Nash Equilibrium
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