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Summary: 9/24/2010
1
Yale 9&10
Mixed Strategies in Theory and
Tennis
Overview
· As I randomize the strategies, the expected payoff is a
weighted average of the pure strategies. The mixed
strategy payoff must lie "inside" of the other averages.
The "support" for the mixed strategy is like a subteam I
use.
· Each of the pure strategies in the mix must themselves· Each of the pure strategies in the mix, must themselves
be best responses (to the mixed strategy of the other
player). In particular, each must yield the same expected
payoff. Otherwise, we would want MORE of the one
which has a higher expected value.
· I know my opponent is mixing, if they weren't I wouldn't
need to mix. I'd just pick the best for their choice.
How to mix
· Serena is row player q (1q)
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