In a two-person game played by children, each player presents an even or an odd number of fingers (1 or 2 fingers). Player 1 wins if the sum of fingers is an even number. Player 2 wins if the sum of fingers is an odd number.

ENGR.ECONOMIC ANALYSIS
14th Edition
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Chapter1: Making Economics Decisions
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In a two-person game played by children, each player presents an even or an odd
number of fingers (1 or 2 fingers). Player 1 wins if the sum of fingers is an even
number. Player 2 wins if the sum of fingers is an odd number.
Player 2
Even
Odd
Even
1,0
0,1
Odd
0,1
1,0
Show that this game does not have a Nash equilibrium. (hint- is Even,Even a Nash
equilibrium? )
Player 1
Transcribed Image Text:In a two-person game played by children, each player presents an even or an odd number of fingers (1 or 2 fingers). Player 1 wins if the sum of fingers is an even number. Player 2 wins if the sum of fingers is an odd number. Player 2 Even Odd Even 1,0 0,1 Odd 0,1 1,0 Show that this game does not have a Nash equilibrium. (hint- is Even,Even a Nash equilibrium? ) Player 1
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