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 Player1's move, q is the probability of Player2's move and a.b.c.d are matrix elements:

V (p, q) = p.q + p(1 - q)b + (1 p)q + (1 - p)(1 q)d. c) For N successive moves what is the best winning strategy and calculate the complexity

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 - 2)b + (1 - pc + (1-P)(1 qd. c) For N successive moves what is the best winning strategy and calculate the complexity 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 - 2)b + (1 - pc + (1-P)(1 qd. c) For N successive moves what is the best winning strategy and calculate the complexity