Question

Consider the following normal form game: U D LR 7,7 4,8 8,4 5,5 a. Are there dominant actions for any of the players? b. Find

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Answer #1

A)

1/2 L R
U (7,7) (4,8•)
D (8*,4) (5*,5•)

Dominant strategy :

P1 has Dominant strategy : D

P-2 has Dominant strategy : R

b) NE :

( D,R )

c) now if game is repeated for finite periods, then every period only NE of stage game could be sustained as SPNE

So every period, player plays ( D,R)

D) infinitely repeated game

NOw Using Grim Trigger 8toategy, Game starts by both player Cooperatng PI plays y & p2 plays Le So that cach gels 4, f any pl

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