Q1) Player B secretly writes down one of the numbers (1,2,.9} and Player A tries to guess what it is with a cost of $1. If he guesses correctly, Player B pays him S10 and $8 for the odd and even numbers, respectively. If he doesn't guess correctly, he has no gain. Determine the optimal strategies of both players and the value of the game.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
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Q1) Player B secretly writes down one of the numbers {1,2,.,9} and Player A tries to guess what it is with
a cost of $1. If he guesses correctly, Player B pays him $10 and $8 for the odd and even numbers,
respectively. If he doesn't guess correctly, he has no gain. Determine the optimal strategies of both players
and the value of the game.
Transcribed Image Text:Q1) Player B secretly writes down one of the numbers {1,2,.,9} and Player A tries to guess what it is with a cost of $1. If he guesses correctly, Player B pays him $10 and $8 for the odd and even numbers, respectively. If he doesn't guess correctly, he has no gain. Determine the optimal strategies of both players and the value of the game.
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