Remember the game – called Guessing 2/3 The Average – Each player chooses a nonnegative number (at most 100) and the player who has chosen the number that is closest to 2/3 times the average of all th

Remember the game – called Guessing 2/3 The Average – Each player chooses a nonnegative number (at most 100) and the player who has chosen the number that is closest to 2/3 times the average of all th

admin / August 17, 2018

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BATTLE OF SEXES 2,1 0,0 0,0 1,2 "Symmetric" Two Person Two Action Games PRISONER’S DLEMMA 2,2 0,3 3,0 CHICKEN 0,0 4,1 1,4 2,2 1,1 2,2 1,0

Remember the game – called Guessing 2/3 The Average  –  Each player chooses a nonnegative number (at most 100) and the player who has chosen the number that is closest to 2/3 times the average of all the numbers chosen is the Winner. (The other players get nothing. If there is a tie the Winner is selected by lottery.) I ask you to find the Nash Equilibrium of this game and turn it in as a written homework (that shows all your work) 
Find the Mixed Srategy Nash Equilibrium of each of the Coordination games and the  Chicken Game given in TwoPersonTwoActionGames.docx.

Show that, in the Chicken Game, if you add a constant (any constant) to the payoffs of the Row Player or multiply them by a constant, then your answer above does not change. Is this also true for the Column Player ? Is this  true for any game and any player in general ? Why ?

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BATTLE OF SEXES
CHICKEN
2,1
0,0
0,0
4,1
0,0
1,2
1,4
2,2
“Symmetric”
Two Person
Two Ac±on Games
PRISONER’S
MATCHING PENNIES
2,2
0,3
1,-1
-1,1
3,0
1,1
-1,1
1,-1
2,2
0,1
2,2
0 ,0
1,,1
0,0
1,1
0,0
1,0
1,1
0,0
1,1
0,0
1,1
0,0
0,0
COORDINATION

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