PPT Slide

proof

Therefor all pure strategies in a column have payoffs equal to or less than the sgp strategy:

"st p1(s,t) £ p1(s,t)

LL LR RL RR

ll

lr

rl

rr

m

Mixed strategies for player I don’t do any better. Being convex combinations of pure strategies with payoffs no higher than their highest component they can’t produce a payoff higher than the sgp strategy.

1.98

0.77

0.7

0.3

0.7

0.3

0.8

2.7

2.7

0.8

0.9

1.7

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