Matching Pennies is Completely Mixed Game
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Theorem
The game of matching pennies is a completely mixed game.
Proof
The optimum strategy for matching pennies, for both players, is to randomise both their pure strategies.
Hence the result by definition of completely mixed game.
Sources
- 1956: Steven Vajda: The Theory of Games and Linear Programming ... (previous) ... (next): Chapter $\text{I}$: An Outline of the Theory of Games: $3$