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Pat vi Modeling 2 Determine the optimal serategy for each player and the value o

ID: 3334815 • Letter: P

Question

Pat vi Modeling 2 Determine the optimal serategy for each player and the value of the game for: Game player B 12 10 Game player A 3 Determine the optimal strategy for each player and the value of the game for Game player B Game player A 4 Determine the optimal strategy for each player and the value of the game for Game player B Game player A 12 Determine the optimal strategy for each player and the value of the game for Game player B 20 50 Game player A 40 Determine the optimal strategy for each player and the value of the game for: Game player B me player A 20 -12 40 20 10 75 42 95

Explanation / Answer

Question 2:

The player B will never take strategy B2 or strategy B3 because the payoff in both those strategies for B is less than that in B1 whatever strategy A takes. Therefore B will definitely take B1 and as we know that B will definitely take B1 whatever A takes, then to maximize its payoff, A will take the strategy A2 to have a payoff of 8 against the strategy A1 ( note that A as a rational player knows that B will take B1 ) and therefore A is acting accordingly

Therefore final strategies here would be A2 and B1