Arif and Aisha agree to meet for a date at a local dance club next week. In their enthusiasm, they forget to agree which venue will be the site of their meeting. Luckily the town has only two dancing venues, Palms and Oasis. Having discussed their tastes in dancing venues last week, both know that Arif prefers Palms to the Oasis and Aisha prefers the Oasis to Palms. In fact, their payoffs reflect that if both go to Oasis, Aisha’s utility is 3 and Arif’s 2, while if both go to Palms Arif’s utility is 3 and Aisha’s is 2. If they do not go to the same venue, then they both have a utility of 0. (a) Write the payoff matrix and explain whether there are any pure Nash equilibria. Carefully explain what these are and why. Comment on the existence of any dominant strategy equilibria.
Arif and Aisha agree to meet for a date at a local dance club next week. In their enthusiasm, they forget to agree which venue will be the site of their meeting. Luckily the town has only two dancing venues, Palms and Oasis. Having discussed their tastes in dancing venues last week, both know that Arif prefers Palms to the Oasis and Aisha prefers the Oasis to Palms. In fact, their payoffs reflect that if both go to Oasis, Aisha’s utility is 3 and Arif’s 2, while if both go to Palms Arif’s utility is 3 and Aisha’s is 2. If they do not go to the same venue, then they both have a utility of 0. (a) Write the payoff matrix and explain whether there are any pure Nash equilibria. Carefully explain what these are and why. Comment on the existence of any dominant strategy equilibria.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Arif and Aisha agree to meet for a date at a local dance club next week. In their enthusiasm, they forget to agree which venue will be the site of their meeting. Luckily the town has only two dancing venues, Palms and Oasis. Having discussed their tastes in dancing venues last week, both know that Arif prefers Palms to the Oasis and Aisha prefers the Oasis to Palms. In fact, their payoffs reflect that if both go to Oasis, Aisha’s utility is 3 and Arif’s 2, while if both go to Palms Arif’s utility is 3 and Aisha’s is 2. If they do not go to the same venue, then they both have a utility of 0.
(a) Write the payoff matrix and explain whether there are any pure Nash equilibria. Carefully explain what these are and why. Comment on the existence of any dominant strategy equilibria.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
What if on the day of the date, Arif leaves earlier for the venue and then calls Aisha to tell her where he is? Is there a first mover advantage and what form does it take? Carefully explain your answers by drawing the game in a sequential form and explain what the equilibrium will be.
Solution
by Bartleby ExpertFollow-up Question
Please calculate mixed strategy equilibria, if any, and then derive the probability that Arif and Aisha will find themselves at the same venue. Carefully explain the steps to your solution
Solution
by Bartleby ExpertKnowledge Booster
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.Recommended textbooks for you
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
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)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
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-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education