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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.

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.

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