Card Game with Bluffing is Completely Mixed Game

Theorem
The game of cards with bluffing is a completely mixed game.

Proof
From Solution to Card Game with Bluffing, the optimum strategy for the [[Definition:Card Game with Bluffing|card game with bluffing, is:
 * For $A$, to use both pure strategies but favour $A_1$ by $2/3$ to $1/3$.
 * For $B$, to use both pure strategies but favour $B_1$ by $2/3$ to $1/3$.

Hence the result by definition of completely mixed game.