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a) Player 1 writes an integer between 1 and 20 on a slip of paper. Without showing this slip of paper to Player 2, Player 1 tells Player 2 what he has written. Player 1 may lie or tell the truth. Player 2 must then guess whether or not player 1 has told the truth. If caught in a lie, Player 1 must pay Player 2 R10; if falsely accused of lying, player 1 collects R5 from Player 2. If player 1 tells the truth and Player 2 guesses that player 1 has told the truth, then player 1 must pay R1 to Player 2. If player 1 lies and Player 2 does not guess that Player 1 has lied, player 1 wins R5 from Player 2. Set-up the payoff matrix to this game.

a) Player 1 writes an integer between 1 and 20 on a slip of paper. Without showing this slip of paper to Player 2, Player 1 tells Player 2 what he has written. Player 1 may lie or tell the truth. Player 2 must then guess whether or not player 1 has told the truth. If caught in a lie, Player 1 must pay Player 2 R10; if falsely accused of lying, player 1 collects R5 from Player 2. If player 1 tells the truth and Player 2 guesses that player 1 has told the truth, then player 1 must pay R1 to Player 2. If player 1 lies and Player 2 does not guess that Player 1 has lied, player 1 wins R5 from Player 2. Set-up the payoff matrix to this game.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 14OE
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a) Player 1 writes an integer between 1 and 20 on a slip of paper. Without showing this slip of paper to Player 2, Player 1 tells Player 2 what he has written. Player 1 may lie or tell the truth. Player 2 must then guess whether or not player 1 has told the truth. If caught in a lie, Player 1 must pay Player 2 R10; if falsely accused of lying, player 1 collects R5 from Player 2. If player 1 tells the truth and Player 2 guesses that player 1 has told the truth, then player 1 must pay R1 to Player 2. If player 1 lies and Player 2 does not guess that Player 1 has lied, player 1 wins R5 from Player 2. Set-up the payoff matrix to this game.
Transcribed Image Text:a) Player 1 writes an integer between 1 and 20 on a slip of paper. Without showing this slip of paper to Player 2, Player 1 tells Player 2 what he has written. Player 1 may lie or tell the truth. Player 2 must then guess whether or not player 1 has told the truth. If caught in a lie, Player 1 must pay Player 2 R10; if falsely accused of lying, player 1 collects R5 from Player 2. If player 1 tells the truth and Player 2 guesses that player 1 has told the truth, then player 1 must pay R1 to Player 2. If player 1 lies and Player 2 does not guess that Player 1 has lied, player 1 wins R5 from Player 2. Set-up the payoff matrix to this game.
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