Explanation Given: The matrix is A = [ 2 3 − 1 − 1 2 − 3 3 4 − 2 ] . Approach: A strictly determined game is characterized by the following properties: 1) There is an entry in the payoff matrix that is simultaneously the smallest entry in its row and the largest entry in its column. This entry is called the saddle point for the game. 2) The optimal strategy for the row player is the maxi-min strategy obtained by choosing the row containing the saddle point. The optimal strategy for the column player is the mini-max strategy obtained by choosing the column containing the saddle point. Calculation: First determine the minimum of each row and the maximum of each column of the payoff matrix A and display these minima and maxima as follows To determine b) To find: The optimal strategy for each player. To determine c) To find: The value of the game and whether the game favors row or column player.

11th Edition

ISBN: 9781337496094

Author: Tan

Publisher: CENGAGE C

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Chapter 9.BMO, Problem 4BMO

To determine

a)

To find:

The saddle point(s) of the game.

To determine

b)

To find:

The optimal strategy for each player.

To determine

c)

To find:

The value of the game and whether the game favors row or column player.

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Chapter 9.BMO, Problem 3BMO

Chapter 9.BMO, Problem 5BMO

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a) To find: The saddle point(s) of the game.

Solution Summary: The author explains that a strictly determined game is characterized by the following properties: 1) there is an entry in the payoff matrix that is simultaneously the smallest entry and the largest entry. 2) The optimal strategy for the row player is

a) To find: The saddle point(s) of the game.

b) To find: The optimal strategy for each player.

c) To find: The value of the game and whether the game favors row or column player.

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Chapter 9 Solutions

a)

To find:

The saddle point(s) of the game.

b)

To find:

The optimal strategy for each player.

c)

To find:

The value of the game and whether the game favors row or column player.