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Answer the following questions based on the following payoff matrix of a 2-player constant-sum game. It is not necessary to explain your answers. S3 S4
Answer the following questions based on the following payoff matrix of a 2-player constant-sum game. It is not necessary to explain your answers.
S3 S4 S5
S1 (5, 70) (6, 69) (30, 45)
S2 (8, 67) (15, 60) (35, 40) (i) Does player I have a dominant strategy?
(ii) Does player II have a dominant strategy?
(iii) Is this game stable?
(iv) Which player has more dominated strategies?
(v) Is (8, 67) the pure-strategy equilibrium?
(vi) Is (S2, S3) the pure-strategy equilibrium?
(vii) Is -59 the value of the game?
(viii) Are the maximin and minimax values equal?
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