3) A chess game is designed such that acquiring the other players piece is worth:2. going to a far position from the starting point is: 1. a) Write the R matrix b) payofy function V(x) as: if p is the probability of Player l's move. q is the probability of Player2's move and ab.c.d are matrix elements: V p.) - p.q.a-p(1-4) + (1 Pqc - (1 -PX1 - 9 c) For successive moves what is the best winning strategy and calculate the complexity