Finite Mathematics (11th Edition)
Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 11, Problem 1EA

Since they like to eat out, each prefers a restaurant meal to the frozen dinner, but they enjoy their favorite food much more than the other type. Suppose that Linda and Mel have the following payoff matrices, where the numbers represent degree of enjoyment:

Chapter 11, Problem 1EA, 1. Since they like to eat out, each prefers a restaurant meal to the frozen dinner, but they enjoy

Does either player have a dominated strategy? How should they resolve their dilemma?

Expert Solution & Answer
Check Mark
To determine
Whether there is a dominated strategy of either player or not.

Answer to Problem 1EA

Solution: No player has a dominated strategy.

Explanation of Solution

Given: Payoff matrix of person L,

[5002]

And the payoff matrix of M,

[2005]

Each player has two strategies, C for Chinese restaurant and F for a French restaurant.

Explanation:

A dominated strategy is the strategy that always gives a player lesser payoff than other strategies, given whatever other player does.

In this case, no strategy is dominated by another strategy for either player. The dilemma is resolved by choosing either of the Nash equilibrium, which is both players going to either a Chinese or French restaurant.

Conclusion: No dominated strategy exists for either player.

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Chapter 11 Solutions

Finite Mathematics (11th Edition)

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