Finder Кеер Return wallet wallet Owner 50 Rewar Do not 60 1,000

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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One day you lose your wallet. In it, you had 500 and some valuables that others cannot use, such
as a few old photos. It will cost you another 500 to get new copies of the photos and replace the
other valuables. Consequently, the wallet is worth 1,000 to you.
Fortunately, someone finds
if she keeps the money and throws the wallet away, she will get 500. However, if she returns it to
you she might get a reward. After all, it is worth 1,000 to you. Suppose you give her either 600 in
reward or nothing.
your
wallet. She opens it and sees that it contains 500. She thinks that
We can represent this game as in Figure E.7.2.
Figure E.7.2
Finder
Кеер,
Return wallet
wałlet
Owner
50
Rewar
Do not
60
1.000
a) What is the name of the method used to find the subgame perfect equilibrium?
b) Which is the subgame perfect equilibrium in Figure E.7.2?
c) Is the equilibrium efficient or not? Why or why not?
d) Can you think of a way to change the structure of the game, such that a better
equilibrium will arise?
Transcribed Image Text:One day you lose your wallet. In it, you had 500 and some valuables that others cannot use, such as a few old photos. It will cost you another 500 to get new copies of the photos and replace the other valuables. Consequently, the wallet is worth 1,000 to you. Fortunately, someone finds if she keeps the money and throws the wallet away, she will get 500. However, if she returns it to you she might get a reward. After all, it is worth 1,000 to you. Suppose you give her either 600 in reward or nothing. your wallet. She opens it and sees that it contains 500. She thinks that We can represent this game as in Figure E.7.2. Figure E.7.2 Finder Кеер, Return wallet wałlet Owner 50 Rewar Do not 60 1.000 a) What is the name of the method used to find the subgame perfect equilibrium? b) Which is the subgame perfect equilibrium in Figure E.7.2? c) Is the equilibrium efficient or not? Why or why not? d) Can you think of a way to change the structure of the game, such that a better equilibrium will arise?
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