Asymmetric information Flashcards
What is moral hazard?
hidden action
Give an example of moral hazard with a plumber?
Employing a plumber
Your boiler breaks down
You employ a plumber to Öx your boiler
The plumber knows a lot more about how to Öx boilers than you do
You need to be sure that the plumber takes the right actions and does
not charge you too much
What is the problem here in this plumber example?
It is you not the plumber who you employ who bears the cost of doing a bad job.
How is there a moral hazard problem in finance?
Traders take risks on behalf of investors.
What is adverse selection?
Economic situation which some agents hold private information that is not known to others ( hidden information)
e.g. buying a second hand car ( you want to buy a car, you want know if its reliable, you find and one and the owner tells you its reliable( the owner may be lying), as you are not an expert you cannot check for yourself, so you need trust in owner)
What are moral hazard and adverse selection a problem of?
Asymmetric information.
Why doesn’t everyone know everything?
Its costly and impossible for everyone to know everything ( hence we have a division of labour for specialisation.
What are the implications of moral hazard?
It can have implications for both efficiency and equity.
What is the best way to model moral hazard and what are we going to model?
Principal agent problem and we are going to look at the optimal compensation problem.
So with the optimal compensation problem who is the principal and agents and what are we interested in?
1) A principal: who designs a contract
2) And agent: who is contracted with
We are interested in the design of optimal contracts where
1) the actions of the agent cannot be monitored directly
Now the principal cannot observe the effort of the agent,
What can the outcome of the task be?
What is the princpal payoff ( don’t include costs) if success and failure.
How do we show what the agents effort can be and what is the cost function for agent, and what does this effort mean and why is effort not always 1?
Effort creates a disulitiy with a quadratic cost function
Assume that the agent has no wealth so cannot be punished
(financially) for failure
But she can be rewarded for success.
To perform the task, the agent is therefore offered what? and what else does she have?
Firstly we are going to look at full information benchmark ( what does this mean) what does this mean for the 2 part contract the agent gets?
The principal can contract on the amount of effort that the agent puts in. Putting e although doesn’t guarantee success. This means you don’t have to give bonus.
What is the payoff which makes the agent participate in the contract for full information benchmark, how is the cost function affected what is the lowest possible wage??
What this shows that the higher i contract on effort i have to pay a higher wage, so that it at least = outside option. SO WAGE MUST = OUTSIDE OPTION.( THIS IS THE LOWEST WAGE POSSIBLE)
What is the princpal payoff with full information benchmark, where there is no bonus, but the princpal pays a wage ( rearrange the payoff from last flashcard, to solve for w and substitute in princpals payoff)
Probability of success X expected payoff - W.
We want to find the optimal effort level with full information benchmark, so how do we do this ( HINT using princpals payoff)?
Maximise principals payoff utility with respect to e and then = 0 then find out what e is.
So e = pie/c ( which is the optimal amount of effort i would want agent to put if i could observe the agents effort.)
Let c = 10 and π = 8
Then what is optimal effort?
Why didn’t we choose effort level = 1
If i choose effort level = 100 it would be too expensive.
What is incentive compatibility and why does it matter ?
refers to the idea that we know there is asymmetric information but princpals must anticipate this when making contracts. It matters because you would be naive to think that if i you could make a normal contract and you will get what you want without an incentive for the agent.
So suppose principal cannot observe effort and the agent gets a fixed wage and a bonus depending on success of task, what is the agents ultity function and what is the optimal level of effort now?
Fixed wage + probability of getting bonus x bonus - cost of effort.
What is now the princpals payoff now without full information? knowing that he has to pay a bonus and fixed wage and profit/ payoff depends on success.
What does the princpal also have to respect, so the agent doesn’t turn down contract. What is the tradeoff here for princpal?
Effort depends on b, but paying more b means improving performance but reducing princpals payoff if success.
So we want the contract to be incentive compatible, so given the princpal cannot the agents effort subisutute the incentive compatible level of effort into the the principals payoff and the agents payoff ( sub e = b/c where you see e)
So step 2, what are we trying to maxmise in the to find the optimal contract when there is moral hazard? Do we need wage?
Step 2: Maximize the principalís payo§ subject to the agent getting
at least u
By plotting the agent and princpals ultity as a function of level of bonus paid, what 3 observations can we make ?
1) Utility for the agent is increasing in B.
2) The optimal level of bonus that maximises princpal payoff whilst trading off the fact that you are paying for more effort, but getting more for it is the stationary point.
3) As b goes over the optimal b the princples ultity is falling as a larger share of the bonus is going to agent
What are the 2 cases we want to look at for the optimal contract when such that we maxmise the blue function subject to the agent getting at least a level of utility u.
Case 1 where the outside option is not binding
Case 2 where the outside option is binding.