udit him. The game tree with the associated payoffs is given below. Th Is are ordered (Bezos, IRS). diligent: P pay tax (-10, 10) work. audit hide (-20,5) IRS Nature Jeff Bezos not audit lazy: 1- P pay tax (-10, 10) audit hide IRS (10,0) (10,5) Let P=0.3. Find a Bayes Nash Equilibrium of the game. Sho (-20,0) not audit For what range of P, does Bezos choose to pay in a BNE? For s range, how does the BNE look?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Please try to solve in 30 minute
In the following game, Jeff Bezos decides whether to pay taxes or
hide his money offshore. However, he does not know if the IRS is lazy or diligent
this year. He only knows that with probability P the IRS is diligent (So they
are lazy with probability 1-P). The IRS knows its own type. If Bezos pays his
taxes the game ends. If he hides his money offshore, the IRS can either audit or
not audit him. The game tree with the associated payoffs is given below. The
payoffs are ordered (Bezos, IRS).
diligent: P
pay tax
(-10, 10)
(a.)
your work.
audit
hide
(-20,5)
IRS
Nature
Jeff Bezos
not audit
(10,0)
lazy: 1 - P
pay tax
(-10, 10)
audit
hide
(-20, 0)
IRS
not audit
(10,5)
Let P=0.3. Find a Bayes Nash Equilibrium of the game. Show
(b.)
For what range of P, does Bezos choose to pay in a BNE? For P
in this range, how does the BNE look?
Transcribed Image Text:In the following game, Jeff Bezos decides whether to pay taxes or hide his money offshore. However, he does not know if the IRS is lazy or diligent this year. He only knows that with probability P the IRS is diligent (So they are lazy with probability 1-P). The IRS knows its own type. If Bezos pays his taxes the game ends. If he hides his money offshore, the IRS can either audit or not audit him. The game tree with the associated payoffs is given below. The payoffs are ordered (Bezos, IRS). diligent: P pay tax (-10, 10) (a.) your work. audit hide (-20,5) IRS Nature Jeff Bezos not audit (10,0) lazy: 1 - P pay tax (-10, 10) audit hide (-20, 0) IRS not audit (10,5) Let P=0.3. Find a Bayes Nash Equilibrium of the game. Show (b.) For what range of P, does Bezos choose to pay in a BNE? For P in this range, how does the BNE look?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman