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LL LR RL RR

ll

lr

rl

rr

m

A mixed strategy is a convex combination of a players pure strategies i.e. their weighted sum with non-negative weights adds to one and represents the chance the player will actually uses these strategies.

Notice: A convex combination can’t have a value higher (lower) than that of its highest (lowest) component.

mixed strategies

Example: mixed strategy m for player I with equation

m = 0.1ll +0.2lr +0.3rl +0.4rr

1.98

1.24

0.92

2.34

1.05

1.6

0.77

0.88

0.7

0.3

0.7

0.3

1.2

1.5

1.2

1.5

0.7

0.3

0.7

0.3

1.2

1.5

1.2

1.5

0.8

2.7

1.7

0.8

2.7

0.9

1.7

2.7

1.6

0.8

2.7

1

1.6

0.8

0.9

1

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