Chapter 9.4, Problem 23E

(a)

To determine

To show: The $\widehat{x}$ and $\widehat{y}$ are the mixed strategies for player $R$ and $C$ respectively.

(b)

To determine

To show: $E\left(\widehat{x},y\right)\ge \frac{1}{\lambda }$ for any mixed strategy y for $C$.

(c)

To determine

To show: $E\left(x,\widehat{y}\right)\le \frac{1}{\lambda }$ for any mixed strategy $x$ for $R$.

(d)

To determine

To show: The value of the game is $\frac{1}{\lambda }$ where $\widehat{x}$ and $\widehat{y}$ are the mixed strategies for player $R$ and $C$.