Consider the following game, with a risk-neutral principal with preferences π = q - w hiring an agent with preferences U = √w-e.. The agent's reservation utility is given by Ū = 2, and the agent can choose between an effort level of 0 or an effort level of 10. Output is either 0 or 400 and follows the following probability distribution, a function of effort level and some uncertain factor: Probability (q=0) Probability (q=400) e=0 0.6 e=10 0.1 0.4 0.9 Interpret those constraints in words - what are they imposing on the contract being designed by the principal?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
icon
Related questions
Question
Consider the following game, with a risk-neutral principal with preferences π = q - w hiring an agent
with preferences U = √w-e.. The agent's reservation utility is given by Ū = 2, and the agent can
choose between an effort level of 0 or an effort level of 10.
Output is either 0 or 400 and follows the following probability distribution, a function of effort level and
some uncertain factor:
Probability (q=0) Probability (q=400)
e=0
0.6
e=10 0.1
0.4
0.9
Interpret those constraints in words - what are they imposing on the contract being designed by
the principal?
Transcribed Image Text:Consider the following game, with a risk-neutral principal with preferences π = q - w hiring an agent with preferences U = √w-e.. The agent's reservation utility is given by Ū = 2, and the agent can choose between an effort level of 0 or an effort level of 10. Output is either 0 or 400 and follows the following probability distribution, a function of effort level and some uncertain factor: Probability (q=0) Probability (q=400) e=0 0.6 e=10 0.1 0.4 0.9 Interpret those constraints in words - what are they imposing on the contract being designed by the principal?
Expert Solution
steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Probability and Expected Value
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning