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 a,b,c,d are matrix elements: v (p, q) = p.q.a+p(1 - )b + (1 - pqc+(1-P)(1-q)d. c) For N successive moves what is the best winning strategy and calculate the complexity