Game Theory : Two-Person Zero-Sum 2 x 3 Matrix (Mixed Strategies)

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  Two-person zero-sum games play a central role in the development of the theory of games.

• Consider the following two-person zero-sum game. Assume the two players have the same three strategy options.

  2. If so, what is it? 3. Identify and eliminate dominated strategies and reduce the game to a 2x2 game. Consider the following two-person zero-sum game. Assume the two players have the same three strategy options.

• Optimal Strategy for a 2-Person Zero-Sum Game using Mixed Strategies

  17356 Game Theory : Optimal Strategy for a 2-Person Zero-Sum Game using Mixed Strategies Find the value and the optimal strategies for the two person zero-sum game below.

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  This then is not a constant-sum game because the sum of the payoffs is 10 million for some situations and 9 million for others. Just like matrix games, bimatrix games can be solved using either pure or mixed strategies.

• mixed equilibria

  Apparently, this is the only mixed-strategy NE. I hope this helps! Questions in game theory are assessed.

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  The zero sum game is called strictly competitive game while non zero sum games can be either competitive or non-competitive (1).

• examples of matrix and bimatrix games in game theory

  P1() + P2() = K (if K = 0, the game is called zero-sum, in general constant-sum). The reason for calling such games matrix games is that the payoffs can be tabulated in a single matrix.

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  Thus we are making two assumptions here: one that you have multiple rounds, and two that you are allowed mixed strategies.

• Reward matrix, Dominated strategies, Optimal strategies

  [1] A [2] B [3] C [4] D [5] a) Assuming this to be a zero-sum game, construct the reward matrix (payoff table). b) Find and eliminate all dominated strategies.