Please use the game table above to find Kyle and Debbie's mixed strategy equilibria. 1. W = Probability Kyle goes to Craft Fair. (1-W) = Probability Kyle goes to Monster Trucks. 2. Use this information to find Kyle's optimal probability of going to the craft fair and monster trucks. Hint, what values of W and (1 - W) make Debbie indifferent to choosing either craft fair or monster trucks? Z = Probability Debbie goes to Craft Fair. (1 - Z) = Probability Debbie goes to Monster Trucks. Use this information to find Debbie's optimal probability of going to the craft fair and monster trucks. Hint, what values of Z and (1 - Z) make Kyle indifferent to choosing either craft fair or monster trucks?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 11E
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Question
Debbie
Craft Fair
Monster Trucks
Kyle:
10
Kyle:
Debbie: 8
Debbie: 1
Kyle
Kyle:
7
Kyle:
Debbie: 7
Debbie: 9
Please use the game table above to find Kyle and Debbie's mixed strategy equilibria.
W = Probability Kyle goes to Craft Fair.
(1 – W) = Probability Kyle goes to Monster Trucks.
1.
Use this information to find Kyle's optimal probability of going to the craft fair and
monster trucks. Hint, what values of W and (1 - W) make Debbie indifferent to choosing
either craft fair or monster trucks?
Z = Probability Debbie goes to Craft Fair.
(1 – Z) = Probability Debbie goes to Monster Trucks.
2.
Use this information to find Debbie's optimal probability of going to the craft fair and
monster trucks. Hint, what values of Z and (1 - Z) make Kyle indifferent to choosing
either craft fair or monster trucks?
Craft fair
Monster Trucks
Transcribed Image Text:Debbie Craft Fair Monster Trucks Kyle: 10 Kyle: Debbie: 8 Debbie: 1 Kyle Kyle: 7 Kyle: Debbie: 7 Debbie: 9 Please use the game table above to find Kyle and Debbie's mixed strategy equilibria. W = Probability Kyle goes to Craft Fair. (1 – W) = Probability Kyle goes to Monster Trucks. 1. Use this information to find Kyle's optimal probability of going to the craft fair and monster trucks. Hint, what values of W and (1 - W) make Debbie indifferent to choosing either craft fair or monster trucks? Z = Probability Debbie goes to Craft Fair. (1 – Z) = Probability Debbie goes to Monster Trucks. 2. Use this information to find Debbie's optimal probability of going to the craft fair and monster trucks. Hint, what values of Z and (1 - Z) make Kyle indifferent to choosing either craft fair or monster trucks? Craft fair Monster Trucks
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