Find the Optimal Mixed Row Strategy, the Optimal Mixed Column $P = \left[ \begin{array} { c c } - 7 & - 8 \\- 8 & 7\end{array} \right]$

question 151

Multiple Choice

Find the optimal mixed row strategy, the optimal mixed column strategy, and the expected value of the game in the event that each player uses his or her optimal mixed strategy.
$P = \left[ \begin{array} { c c } - 7 & - 8 \\- 8 & 7\end{array} \right]$

• A) \(R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]\) , \(C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }\) , \(e = - \frac { 15 } { 16 }\)
• B) \(R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]\) , \(C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }\) , \(e = - \frac { 113 } { 16 }\)
• C) \(R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]\) , \(C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }\) , \(e = - \frac { 113 } { 16 }\)
• D) \(R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]\) , \(C = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right] ^ { T }\) , \(e = - \frac { 113 } { 16 }\)
• E) \(R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]\) , \(C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }\) , \(e = - \frac { 15 } { 16 }\)

---

Definitions:

Federal Government

The national government of a federated state, which shares sovereignty with the individual state or provincial governments.

Property Tax

A tax on the value of property, such as the value of a home.

Personal Taxes

Taxes levied on the income or property of individuals.

Personal Income

The total earnings of an individual from all sources before taxes, including wages, dividends, interest, and rents.