Refer to the following formula for expected payoff Expected payoff (Probability of rival matching Loss from price cutj (Probability of rival not matching Gain from price cut) Suppose the payoff to each of four strategic interactions is as follows Rival Response Your Company's Action Reduce Price Don't Reduce Price Gain $36.000 No loss or gain Reduce price Loss $7.500 Don't reduce price Loss $35.000 Instructions: Enter your responses as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. a. If the probability of rivals matching a price reduction is 90 percent, what is the expected payoff of a price cut? 7800 b. If the probability of rivals reducing price even though you dont reduce your price is 3 percent, what is the expected payoff of not reducing price? 7800

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.6P
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Refer to the following formula for expected payoff
Expected payoff -(Probability of rival matching Loss fram price cut) + (Probability of rival not matching Gain from price cut)
Suppose the payof to each of four strategic interactions is as follows:
Rival Response
Your Company's Action
Reduce Price
Don't Reduce Price
Gain $35.000
No loss or gain
Reduce price
Loss $7,500
Don't reduce price
Loss $35.000
Instructions: Enter your responses as a whole number. If you are entering any negative numbers be sure to include a negative sign (-)
in front of those numbers.
a. If the probability of tivals matching a price reduction is 90 percent, what is the expected payoff of a price cut
7800
b. If the probability of rivals reducing price even though you don't reduce your price is 3 percent, what is the expected payoff of not
reducing price?
7800
Transcribed Image Text:Refer to the following formula for expected payoff Expected payoff -(Probability of rival matching Loss fram price cut) + (Probability of rival not matching Gain from price cut) Suppose the payof to each of four strategic interactions is as follows: Rival Response Your Company's Action Reduce Price Don't Reduce Price Gain $35.000 No loss or gain Reduce price Loss $7,500 Don't reduce price Loss $35.000 Instructions: Enter your responses as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. a. If the probability of tivals matching a price reduction is 90 percent, what is the expected payoff of a price cut 7800 b. If the probability of rivals reducing price even though you don't reduce your price is 3 percent, what is the expected payoff of not reducing price? 7800
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