PPT Slide

proof

ll

lr

rl

rr

m

LL LR RL RR M

At last consider any mixed strategy for player II. Since the sgp strategy gives player I the maximum payoff for every pure strategy of player II, its convex combinations must be a maximum, too:

M = 0.5LL + 0.5RL.

1.98

0.77

0.7

0.3

0.7

0.3

0.8

2.7

2.7

0.8

0.9

1.7

1.2

1.5

1.2

1.5

0.8

2.7

0.8

2.7

0.92

2.34

0.95

0.9

0.95

0.9

0.8

2.7

0.8

2.7

0.845

2.16

"pq p1(p,q) £ p1(s,q)

with p and q convex combinations of the pure strategies of player I en II and s the sgp strategy of player I.

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