Two players, Row and Column, will simultaneously and independently decide whether to 'share' or 'steal'. Cash outcomes have a 'prisoner's dilemma' structure. However, Column feels shame s > 0 if they choose 'Steal'. Row's payoff is their cash outcome; Column's is their cash outcome, minus their shame if they 'Steal'. The following matrix summarizes (each cell has Row's payoff first, and Column's second): Column Share Steal 0,8 – s 2, 2 – s Share 5,5 8,0 Row Steal This game has a unique Nash equilibrium, but it depends on s. What is the Nash equilibrium of this game, for different values of s? Explain.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Two players, Row and Column, will simultaneously and independently decide whether to
'share' or 'steal'. Cash outcomes have a 'prisoner's dilemma' structure. However, Column
feels shame s > 0 if they choose 'Steal'. Row's payoff is their cash outcome; Column's is their
cash outcome, minus their shame if they 'Steal'. The following matrix summarizes (each cell
has Row's payoff first, and Column's second):
Column
Share
Steal
5, 5
8,0
Share
0,8 – s
2,2 – s
Row
Steal
This game has a unique Nash equilibrium, but it depends on s. What is the Nash equilibrium
of this game, for different values of s? Explain.
Transcribed Image Text:Two players, Row and Column, will simultaneously and independently decide whether to 'share' or 'steal'. Cash outcomes have a 'prisoner's dilemma' structure. However, Column feels shame s > 0 if they choose 'Steal'. Row's payoff is their cash outcome; Column's is their cash outcome, minus their shame if they 'Steal'. The following matrix summarizes (each cell has Row's payoff first, and Column's second): Column Share Steal 5, 5 8,0 Share 0,8 – s 2,2 – s Row Steal This game has a unique Nash equilibrium, but it depends on s. What is the Nash equilibrium of this game, for different values of s? Explain.
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