A principal is considering hiring a lawyer to represent him or her in a lawsuit. The principal gets $ 250 000 if the suit is won and $0 otherwise. If the agent works hard (100 hours), there is a 50% chance that the principal will win the suit. If the agent does not work hard (10 hours), there is a 15% chance that the principal will win the suit. Without a lawyer, the principal is sure to lose the suit. The principal can monitor the agent, and both parties are risk neutral. The agent's utility function is m-50e, where m is money in dollars and e is effort in hours.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A principal is considering hiring a lawyer to
represent him or her in a lawsuit. The
principal gets $ 250 000 if the suit is won
and $0 otherwise. If the agent works hard
(100 hours), there is a 50% chance that the
principal will win the suit. If the agent does
not work hard (10 hours), there is a 15%
chance that the principal will win the suit.
Without a lawyer, the principal is sure to
lose the suit. The principal can monitor the
agent, and both parties are risk neutral. The
agent's utility function is m-50e, where m is
money in dollars and e is effort in hours.
The agent's fee for this case is $100 per
hour, and the outside opportunity is worth
$500. Write down the game in extensive
form and solve it.
Transcribed Image Text:A principal is considering hiring a lawyer to represent him or her in a lawsuit. The principal gets $ 250 000 if the suit is won and $0 otherwise. If the agent works hard (100 hours), there is a 50% chance that the principal will win the suit. If the agent does not work hard (10 hours), there is a 15% chance that the principal will win the suit. Without a lawyer, the principal is sure to lose the suit. The principal can monitor the agent, and both parties are risk neutral. The agent's utility function is m-50e, where m is money in dollars and e is effort in hours. The agent's fee for this case is $100 per hour, and the outside opportunity is worth $500. Write down the game in extensive form and solve it.
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