domaince property

$1)$ remove the dominance rows

$2)$ remove the dominance column

$3)$continue the steps until the matrix is reduced to $2*2$

$4)$ now apply the formula method of game with saddle point

$1)$ find the minimum value in each row write the end of each row and maximum value in each column write endof each column

$2)$ find minimax and maximini

$3)$ find the element $($minimax $=$ maximini$)$

$4)$ it is saddle point and which represents the value of the game

suppose minimax not equal to maximini

we can use the game without saddle point mixed strategy $,$we have $\left[\begin{array}{cc}a11& a12\\ a21& a22\end{array}\right]$

formula

$1)$v$=$ a$11$a$22-$a$12$a$21/\backslash$lambda

$2)$ lambda $=$ a$11+$a$22-($a$12+$a$21)$

p$1=$ a$22-$a$21/$lambda $,$p$2=1-$p$1$

q$1=$ a$22-$a$12/$lambda $,$q$2=1-$q$1$

Solve the following game for optimal strategy based on dominance property and value of the game$($v$)$ :

B$1$ B$2$ B$3$ B$4$

A$1810914$

A$21011812$

A$313121413$

v$=($a$11$a$22-$ a$12$a$21)-$:lambda $,$ where lambda $=$ a$11+$a$22-($a$12+$a$21)$

answer $=6,$ but I have the answer is $34/3$

please send the correct answer sir $/$mam