Consider the odds and evens game introduced in Sec. 15.1 and whose payoff table is shown in Table 15.1.
(a) Use the approach described in Sec. 15.5 to formulate the problem of finding optimal mixed strategies according to the minimax criterion as two linear programming problems, one for player 1 (the evens player) and the other for player 2 (the odds player) as the dual of the first problem.
(b) Use the simplex method to find these optimal mixed strategies.