PRIN OF MICROECONOMICS
2nd Edition
ISBN: 9780393914085
Author: coppock
Publisher: Norton, W. W. & Company, Inc.
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Question
Chapter 13, Problem 4SP
To determine
The question answering and the dominant strategy.
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You have just played rock, paper, scissors with your friend. You chose scissors and he chose paper, so you won. Is this a Nash equilibrium? Explain why or why not.
Economics
Game theory: Consider a collective action game
with thirty individuals (N = 30). When the number
of participants in the joint project is n, each
individual, including shirkers, receives a benefit of
B(n) = 18n and each participant incurs a cost of
C(n) = 32 – 2n. Please answer the questions I am
asking!
1. Find all of the Nash equilibria, both stable and
unstable ones.
2. Find the socially optimal outcome.
3. Check if any of the Nash equilibria is socially
optimal. Explain your answer.
A Nash Equilibrium is the equilibrium of a game in which;
Both players get the largest payoff amount
Both players get the best payoff independent of what the other players choices are
Both player, with the knowledge of what the other players possible moves are, do not have incentive to deviate from their strategy
There is incomplete information of the game and each player makes the move that is best for them and their payoff outcome
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