= Let A = (aij) be an m n payoff matrix of a two person...

  

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= Let A = (aij) be an m × n payoff matrix of a two person zero sum game. a) Assume that the average entry in column j of A is at least 5 for each j 1,2,...,n. Show that the assured (expected) winnings for the row player (player 1) is at least 5. b) (This question is independent of (a).) Find an example such that the average entry in row i of A is at least 5 for each i = 1, 2, .., m and yet the game is fair. = Let A = (aij) be an m × n payoff matrix of a two person zero sum game. a) Assume that the average entry in column j of A is at least 5 for each j 1,2,...,n. Show that the assured (expected) winnings for the row player (player 1) is at least 5. b) (This question is independent of (a).) Find an example such that the average entry in row i of A is at least 5 for each i = 1, 2, .., m and yet the game is fair.

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Player Is perspective Given the game matrix A aij for any given ro... View the full answer