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game John was born in Hungary in 1903 existence and grew up having a game love for math game and the sciences.A mtimes n matrix M(a_ij mtimes n with real entries is said to have a pure saddle matrix point at (i_0,j_0) if min_j max_i (a_ij) max_j min_i (a_ij) a_i_0j_0.It appears that the first player has an advantage, but this may not necessarily be true.Based on the definition of the payoff matrix, a game of rock-paper-scissors then has the payoff matrix.Therefore, A 0,1-matrix matrix with the property that every submatrix has a pure saddle point, has no 2times 2-submatrix of the form beginbmatrix1 00 1endbmatrix existence or beginbmatrix0 11 0endbmatrix. In 1928, Neumann proved the minimax theorem, which describes how two players can unreal minimize their losses against each other.
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