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) payoff function V(x) as: if p is the probability of Playerl's move, q is the probability of Player2's move and ab.cd are matrix elements: V (p, q) = p.2.a+p(1 - 2b + (1 - p)qc+ (1 -p)(1-2d. c) For N successive moves what is the best winning strategy and calculate the complexity (25 pnt)