Question C1. Consider the following game played between two players, A and B. The players take it in turns to remove 1, 2 or 3 flags from a pile of 17 flags, with player A moving first. The player who takes the final flag, leaving none for the next player wins the game receiving a nominal payoff of 1, the other player receiving nothing.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
icon
Related questions
Question
Please try to answer in 30 minute
Question C1. Consider the following game played between two players, A and B. The players take it in
turns to remove 1, 2 or 3 flags from a pile of 17 flags, with player A moving first. The player who takes
the final flag, leaving none for the next player wins the game receiving a nominal payoff of 1, the other
player receiving nothing.
a) Define the concept of sub-game perfect equilibrium and explain how this differs from the
Nash Equilibrium.
b) In the game outlined above, derive the sub-game perfect equilibrium.
c) Explain how the equilibrium outcome changes if the initial number of flags was changed from
17 to 16.
Transcribed Image Text:Question C1. Consider the following game played between two players, A and B. The players take it in turns to remove 1, 2 or 3 flags from a pile of 17 flags, with player A moving first. The player who takes the final flag, leaving none for the next player wins the game receiving a nominal payoff of 1, the other player receiving nothing. a) Define the concept of sub-game perfect equilibrium and explain how this differs from the Nash Equilibrium. b) In the game outlined above, derive the sub-game perfect equilibrium. c) Explain how the equilibrium outcome changes if the initial number of flags was changed from 17 to 16.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Assets
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
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Economics, 7th Edition (MindTap Cou…
Principles of Economics, 7th Edition (MindTap Cou…
Economics
ISBN:
9781285165875
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
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
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc