empts involve climbing over perimeter walls or digging der their cells. To discourage more attempts, the warde er post guards on the walls or conduct regular inspectio s but not both. Express this game in normal form. Express this game in extensive form, assuming t prisoner and the warden make their decisions at the time.

Principles of Economics (MindTap Course List)
8th Edition
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Oligopoly
Section: Chapter Questions
Problem 5CQQ
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RUSH. Answer for a, b, and c. 

6. Prisoners have been trying to escape from a jail. Most of the
attempts involve climbing over perimeter walls or digging from
under their cells. To discourage more attempts, the warden can
either post guards on the walls or conduct regular inspections of
cells but not both.
(a) Express this game in normal form.
(b) Express this game in extensive form, assuming that a
prisoner and the warden make their decisions at the same
time.
(c) Express this game in extensive form, assuming that the
warden makes his/her decision first, and the prisoner knows
the warden's decision when he/she chooses the strategy.
Transcribed Image Text:6. Prisoners have been trying to escape from a jail. Most of the attempts involve climbing over perimeter walls or digging from under their cells. To discourage more attempts, the warden can either post guards on the walls or conduct regular inspections of cells but not both. (a) Express this game in normal form. (b) Express this game in extensive form, assuming that a prisoner and the warden make their decisions at the same time. (c) Express this game in extensive form, assuming that the warden makes his/her decision first, and the prisoner knows the warden's decision when he/she chooses the strategy.
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Follow-up Question

Good day. I got confused about the follow up explanation since it differs from the first one. 

 

May I ask for an explanation? 

a.) The goal is to make a express the normal form. For the first answer, how were you able to know the values are (0, 10) (10, 20) (10,20) and (0,10)? And when I asked for a further explanation, it became (-1,1) (1, -1) (1, -1) (-1,1)? Are those values were only assumed? Meaning, I can input any numbers just to have a visualization of the outcomes? 

 

For letters b and c, the answers differ between the first answer and the follow up answer. 

 

I hope you can explain thoroughly. 

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Follow-up Question

Hello. May I ask how did you get the values? Were those only assumed values? Can you also explain how did you make the normal form thoroughly? 

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