In the payout matrix below, which indicates the wins for player A and losses for player B, find which strategies the players should adopt, with what probabilities, and the game value.

*) In this question, depending on your x and y values, the game will be balanced and there may be a simple solution or *) Depending on your x and y value you may need an exclusivity strategy, you can solve it with nash equilibria, or *) Depending on your x and y value, the advantage strategy may not be applicable and may result in deadlock.

\begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{} & & \\ FAALIYET & NCELI & Sre \\ & & \\ \hline A & - & X \\ \hline B & - & Y \\ \hline C & - & 15 \\ \hline D & A & 10 \\ \hline E & B & 18 \\ \hline F & B & 12 \\ \hline G & C & 16 \\ \hline H & D & 11 \\ \hline I & E & 9 \\ \hline J & H, I & 13 \\ \hline K & F, G & 10 \\ \hline \end{tabular} \begin{tabular}{rrrrrr} & B1 & B2 & B3 & B4 \\ \hline A1 & X & 10 & 12 & 18 \\ A2 & 13 & 12 & 25 & 24 \\ A3 & 24 & 23 & 25 & 15 \\ A4 & 17 & 12 & 28 & Y \end{tabular}