A two-person zero-sum game with an nn reward matrix A is a symmetric game if A AT. a Explain why a game having A AT is called asymmetric game.b Show that a symmetric game must have a value ofzero.c Show that if (x1, x2,..., xn) is an optimal strategy for the row player, then (x1, x2,..., x n) is also an opti-mal strategy for the column player. d What examples discussed in this chapter are sym-metric games? How could the results of this problem make it easier to solve for the value and optimal strate-gies of a symmetric game?

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