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Principles of Economics 2e

2nd Edition
Steven A. Greenlaw; David Shapiro
ISBN: 9781947172364

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BuyFindarrow_forward

Principles of Economics 2e

2nd Edition
Steven A. Greenlaw; David Shapiro
ISBN: 9781947172364
Textbook Problem

Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a fighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the they will receive 15 years and the one who stayed silent will receive 35 years. Table 10.7 below represents the choices available to Jane and Bill. If Jane trusts Bill to stay silent, what should she do? If Jane thinks that Bill will confess, what should she do? Does Jane have a dominant strategy? Does Bill have a dominant strategy? A = Confess; B = Stay Silent. (Each results entry lists Jane’s sentence first (in years), and Bill's sentence second.)

Chapter 10, Problem 21P, Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned

To determine

The dominant strategies for Jane and Bill.

Explanation

If jane trust bill to stay silent then jane will choose to confess because if Jane choose to confess it will cost him 15 years jail, while staying silent cost her 20 years of jail.

If Jane expects that Bill will confess, then she should also confess because if Bill confess and Jane stay silent then this will cos...

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