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) 0.4 0.9 e=0 0.6 e=10 0.1 a) Illustrate this game of moral hazard using a fully labeled game tree with payouts. b) Write out the agent's incentive compatibility (ICC) and participation constraints (PC).

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Consider the following game, with a risk-neutral principal with preferences π = q - w hiring an agent
with preferences U = √w-
7-e.. The agent's reservation utility is given by U = 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)
0.4
0.9
e=0
0.6
e=10 0.1
a) Illustrate this game of moral hazard using a fully labeled game tree with payouts.
b) Write out the agent's incentive compatibility (ICC) and participation constraints (PC).
Transcribed Image Text:Consider the following game, with a risk-neutral principal with preferences π = q - w hiring an agent with preferences U = √w- 7-e.. The agent's reservation utility is given by U = 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) 0.4 0.9 e=0 0.6 e=10 0.1 a) Illustrate this game of moral hazard using a fully labeled game tree with payouts. b) Write out the agent's incentive compatibility (ICC) and participation constraints (PC).
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