Which of the following outcomes for P1 is possible in an SPE? 1) 10 coins. 2)o coins. 3)5 coins. 4) all of the above.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Aunt Mary has ten gold coins. She would like to give the
coins to her nieces, P1, and P2. Mary decides she wants
P1 and P2 to play an alternating offers bargaining game
in order to determine how the 10 coins are to be split. P1
and P2 take turns making offers. Every time an offer is
rejected Mary takes one of the coins and gives it away to
her favorite charity. The bargaining game ends when P1
and P2 come to an agreement, or when all the coins have
been given away to the charity, whichever comes first. The
payoff to Pi, i =1,2, from each gold coin is $1, 000.
Fractions cannot be offered, i.e., only integer offers such as
"3 coins for you and 7 coins for me" can be made.
Suppose P1 gets to make the first proposal, and that they
alternate thereafter.
Which of the following outcomes for P1 is possible in an
SPE?
1) 10 coins.
2)o coins.
3)5 coins.
4) all of the above.
Transcribed Image Text:Aunt Mary has ten gold coins. She would like to give the coins to her nieces, P1, and P2. Mary decides she wants P1 and P2 to play an alternating offers bargaining game in order to determine how the 10 coins are to be split. P1 and P2 take turns making offers. Every time an offer is rejected Mary takes one of the coins and gives it away to her favorite charity. The bargaining game ends when P1 and P2 come to an agreement, or when all the coins have been given away to the charity, whichever comes first. The payoff to Pi, i =1,2, from each gold coin is $1, 000. Fractions cannot be offered, i.e., only integer offers such as "3 coins for you and 7 coins for me" can be made. Suppose P1 gets to make the first proposal, and that they alternate thereafter. Which of the following outcomes for P1 is possible in an SPE? 1) 10 coins. 2)o coins. 3)5 coins. 4) all of the above.
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