I try to understand the way to finding the minimax solution to zero-sum game.
The following example is takes from Wikipedia. Minimax
Wikipedia: The following example of a zero-sum game, where A and B make simultaneous moves, illustrates minimax solutions.Suppose each player has three choices and consider the payoff matrix for A displayed at right. Assume the payoff matrix for B is the same matrix with the signs reversed (i.e. if the choices are A1 and B1 then B pays 3 to A). Then, the minimax choice for A is A2 since the worst possible result is then having to pay 1, while the simple minimax choice for B is B2 since the worst possible result is then no payment.
Question: Why the minimax choice for A is actually A2, the worst possible result is actually A3 (-4), and the worst possible result for B is B3 (+4). In addition the wording "simple minimax choice for B" is very confusing, is it different from the standard minimax choice?