$1.$ Determine each player$$s strategy and the value of the game, given the following table:

Y$1$ Y$2$

X$18642$

X$236106$

$2.$ Solve the following game:

Y$1$ Y$2$

X$1-5-10$

X$2128$

X$3412$

X$4-40-5$

$2.$ For the following two$-$person, zero$-$sum game, are here any dominated strategies? si

$3.$ If so$,$ eliminate any dominated strategy and find the value of the game.

PLAYER Y$$s STRATEGIES

Y$1$ Y$2$ Y$3$

PLAYER X$$s

STRATEGIES X$14510$

X$2342$

X$3869$