Explanation Given: The saddle point is the smallest entry in the row and the largest entry in the column. Explanation: First, remove the dominated strategies from the given. [ 2 -1 -4 5 -1 -2 ] From the given matrix every entry in row 1 is greater than the corresponding entry in the row 3; hence, row 1 dominates the row 3 from the game. Therefore, by removing the dominated column we get the results as [ 2 -1 -4 5 ] Let us identify the smallest entry in the row and the largest entry in the column from the given game by using underline and circle. [ (2) − 1 _ − 4 _ (5) ] Thus, the number is underlined smallest number in each row and circling is known as saddle point, from that matrix both underlined and circled does not exists. Hence, the game is nonstrictly determined payoff matrix. From that matrix, a 11 = 2 , a 12 = − 1 , a 21 = − 4 , a 22 = 5 To find out the optimum strategy of the player A, then find d = a 11 − a 21 − a 12 + a 22 = 2 − ( − 4 ) − ( − 1 ) + 5 = 2 + 4 + 1 + 5 = − 12 and then we need to find P1 and P2, P 1 = a 22 − a 21 d = 5 − ( − 4 ) 12 = 5 + 4 12 = 9 12 = 3 4 and, P 2 = 1 − P 1 = 1 − 3 4 = 4 − 3 4 = 1 4 Therefore, player A play in row 1 with 3 4 , and row 2 with probability with 1 4

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 11, Problem 35RE

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Chapter 11, Problem 34RE

Chapter 11, Problem 36RE

Chapter 11 Solutions

Finite Mathematics (11th Edition)

Ch. 11.1 - In the following game, decide on the payoff when...Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - In the following game, decide on the payoff when...Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Does it have a saddle point?Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

Ch. 11.1 - Prob. 11E Ch. 11.1 - Prob. 12E Ch. 11.1 - Prob. 13E Ch. 11.1 - Prob. 14E Ch. 11.1 - Prob. 15E Ch. 11.1 - Prob. 16E Ch. 11.1 - Prob. 17E Ch. 11.1 - Prob. 18E Ch. 11.1 - Prob. 19E Ch. 11.1 - Prob. 20E Ch. 11.1 - Prob. 21E Ch. 11.1 - Prob. 22E Ch. 11.1 - Prob. 23E Ch. 11.1 - Prob. 24E Ch. 11.1 - Prob. 25E Ch. 11.1 - Prob. 26E Ch. 11.1 - Prob. 27E Ch. 11.1 - Prob. 28E Ch. 11.1 - Prob. 29E Ch. 11.1 - Prob. 30E Ch. 11.1 - Prob. 31E Ch. 11.1 - Prob. 32E Ch. 11.1 - Prob. 33E Ch. 11.1 - Prob. 34E Ch. 11.1 - Prob. 35E Ch. 11.1 - Prob. 36E Ch. 11.1 - Prob. 37E Ch. 11.1 - APPLY IT Football When a football team has the...Ch. 11.1 - Prob. 39E Ch. 11.1 - Prob. 40E Ch. 11.1 - Children's Game In the children's game rock,...Ch. 11.2 - Suppose a game has payoff matrix [ 3452 ]. Suppose...Ch. 11.2 - Suppose a game has payoff matrix [ 041324110 ]....Ch. 11.2 - Find the optimum strategies for player A and...Ch. 11.2 - Find the optimum strategies for player A and...Ch. 11.2 - Prob. 5E Ch. 11.2 - Prob. 6E Ch. 11.2 - Prob. 7E Ch. 11.2 - Prob. 8E Ch. 11.2 - Prob. 9E Ch. 11.2 - Prob. 10E Ch. 11.2 - Prob. 11E Ch. 11.2 - Prob. 12E Ch. 11.2 - Prob. 13E Ch. 11.2 - Prob. 14E Ch. 11.2 - Prob. 15E Ch. 11.2 - Prob. 16E Ch. 11.2 - Prob. 17E Ch. 11.2 - Prob. 18E Ch. 11.2 - Prob. 19E Ch. 11.2 - Prob. 20E Ch. 11.2 - Prob. 21E Ch. 11.2 - Prob. 22E Ch. 11.2 - Prob. 23E Ch. 11.2 - Prob. 24E Ch. 11.2 - Prob. 25E Ch. 11.2 - Prob. 26E Ch. 11.2 - Prob. 27E Ch. 11.2 - Prob. 28E Ch. 11.2 - A reader wrote to the "Ask Marilyn" column in...Ch. 11.2 - Prob. 30E Ch. 11.2 - Prob. 31E Ch. 11.2 - Prob. 32E Ch. 11.2 - Prob. 33E Ch. 11.2 - Choosing Medication The number of cases of African...Ch. 11.2 - Prob. 35E Ch. 11.2 - Prob. 36E Ch. 11.2 - 37. Golf In a simplified variation of the Ryder...Ch. 11.2 - Prob. 38E Ch. 11.2 - Prob. 39E Ch. 11.2 - Prob. 40E Ch. 11.2 - Finger Game Repeal Exercise 40 if each player may...Ch. 11.3 - Use the graphical method to find the optimum...Ch. 11.3 - Prob. 2E Ch. 11.3 - Use the graphical method to find the optimum...Ch. 11.3 - Prob. 4E Ch. 11.3 - Prob. 5E Ch. 11.3 - Prob. 6E Ch. 11.3 - Prob. 7E Ch. 11.3 - Prob. 8E Ch. 11.3 - Prob. 9E Ch. 11.3 - Use the simplex method to find the optimum...Ch. 11.3 - Prob. 11E Ch. 11.3 - Prob. 12E Ch. 11.3 - Prob. 13E Ch. 11.3 - Prob. 14E Ch. 11.3 - Prob. 15E Ch. 11.3 - In Exercises 1327, use the graphical method when...Ch. 11.3 - Prob. 17E Ch. 11.3 - Prob. 18E Ch. 11.3 - Prob. 19E Ch. 11.3 - Prob. 20E Ch. 11.3 - Prob. 21E Ch. 11.3 - Prob. 22E Ch. 11.3 - Prob. 23E Ch. 11.3 - In Exercises 1327, use the graphical method when...Ch. 11.3 - In Exercises 13–27, use the graphical method when...Ch. 11.3 - Prob. 26E Ch. 11.3 - Prob. 27E Ch. 11 - 1. Since they like to eat out, each prefers a...Ch. 11 - If Linda likes French food more than Mel likes...Ch. 11 - Prob. 3EA Ch. 11 - 4. Suppose Linda knows that Mel is going to stick...Ch. 11 - Prob. 5EA Ch. 11 - Prob. 6EA Ch. 11 - Prob. 1RE Ch. 11 - Prob. 2RE Ch. 11 - Prob. 3RE Ch. 11 - Prob. 4RE Ch. 11 - Prob. 5RE Ch. 11 - Prob. 6RE Ch. 11 - Prob. 7RE Ch. 11 - Prob. 8RE Ch. 11 - Prob. 9RE Ch. 11 - Prob. 10RE Ch. 11 - 11. How can you determine from the payoff matrix...Ch. 11 - Prob. 12RE Ch. 11 - Prob. 13RE Ch. 11 - Prob. 14RE Ch. 11 - Prob. 15RE Ch. 11 - Prob. 16RE Ch. 11 - Prob. 17RE Ch. 11 - Prob. 18RE Ch. 11 - Prob. 19RE Ch. 11 - Prob. 20RE Ch. 11 - Prob. 21RE Ch. 11 - Prob. 22RE Ch. 11 - Prob. 23RE Ch. 11 - Prob. 24RE Ch. 11 - Prob. 25RE Ch. 11 - For the following games, find the strategies...Ch. 11 - Prob. 27RE Ch. 11 - For the following games, find the strategies...Ch. 11 - Prob. 29RE Ch. 11 - Prob. 30RE Ch. 11 - Prob. 31RE Ch. 11 - Prob. 32RE Ch. 11 - Prob. 33RE Ch. 11 - Prob. 34RE Ch. 11 - Prob. 35RE Ch. 11 - For each game, remove any dominated strategies,...Ch. 11 - Prob. 37RE Ch. 11 - Prob. 38RE Ch. 11 - Prob. 39RE Ch. 11 - Prob. 40RE Ch. 11 - Prob. 41RE Ch. 11 - Prob. 42RE Ch. 11 - Prob. 43RE Ch. 11 - Prob. 44RE Ch. 11 - Prob. 45RE Ch. 11 - Prob. 46RE Ch. 11 - Labor Relations In labor-management relations,...Ch. 11 - Prob. 48RE Ch. 11 - Prob. 49RE Ch. 11 - Prob. 50RE Ch. 11 - Prob. 51RE Ch. 11 - Prob. 52RE Ch. 11 - Prob. 53RE Ch. 11 - Prob. 54RE Ch. 11 - Politics Mary Wilkinson, a candidate for city...Ch. 11 - Prob. 56RE Ch. 11 - Prob. 57RE Ch. 11 - Prob. 58RE Ch. 11 - Prob. 59RE Ch. 11 - Prob. 60RE Ch. 11 - Prob. 61RE Ch. 11 - Prob. 62RE Ch. 11 - Prob. 63RE Ch. 11 - Newcomb's Paradox Suppose there are two boxes, A...

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The dominated strategies of the game and value of the game.

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The dominated strategies of the game and value of the game.

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Chapter 11 Solutions