Asymmetric Information and Adverse selection, Problems of individual insurance?
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Asymmetric Information and Adverse selection, Problems of individual insurance? |
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Asymmetric Information and Adverse selection
Introduction
Economics 306 – build models of individual, firm and market behavior
Most models assume actors fully informed about the market specifics
Know prices, incomes, market demand, etc.
However, many markets do not have this degree of information
Look at the role of ‘imperfect information’
This is more than just ‘uncertainty’ – we’ve already dealt with that issue
Problem of asymmetric information
Parties on the opposite side of a transaction have different amounts of information
Health care ripe w/ problems of asymmetric information
Patients know their risks, insurance companies may not
Doctors understand the proper treatments, patients may not
Problem of individual insurance
Consider situation where people can purchase individual health insurance policy
Problem for insurance companies
They do not know who has the highest risk of expenditures
People themselves have an idea whether they are a high risk person
Asymmetric information
Can lead to poor performance in the private insurance market
Demonstrate in simple numeric example the problem of ‘adverse selection’
Definition: those purchasing insurance are a non-representative portion of the population
This section
Outline problem of asymmetric information and adverse selection
Focus on
How selection can impact market outcomes
‘How much’ adverse selection is in the market
Give some examples
How can get around
Why EPHI might help solve AI/AS
Focus in this chapter will be on the consumer side – how their information alters insurance markets
Are some other examples
How doctors’ asymmetric information might alter procedure
Will save for another time
Keep focused on insurance
Market for Lemons
Nice simple mathematical example of how asymmetric information AI can force markets to unravel
Attributed to George Akeloff, Nobel Prize a few years ago
Good starting point for this analysis, although it does not deal with insuance
Problem Setup
Market for used cars
Sellers know exact quality of the cars they sell
Buyers can only identify the quality by purchasing the good
Buyer beware: cannot get your $ back if you buy a bad car
Two types of cars: high and low quality
High quality cars are worth $20,000, low are worth $2000
Suppose that people know that in the population of used cars that ½ are high quality
Already a strong unrealistic assumption
One that is not likely satisfied
Buyers do not know the quality of the product until they purchase
How much are they willing to pay?
Expected value 1/2$20K + 1/2$2K $11K
People are willing to pay $11K for an automobile
Would $11K be the equilibrium price?
Who is willing to sell an automobile at $11K
High quality owner has $20K auto
Low quality owner has $2K
Only low quality owners enter the market
Suppose you are a buyer, you pay $11K for an auto and you get a lemon, what would you do?
Sell it for on the market for $11K
Eventually what will happen?
Low quality cars will drive out high quality
Equilibrium price will fall to $2000
Only low quality cars will be sold
Some solutions?
Deals can offer money back guarantees
Does not solve the asymmetric info problem, but treats the downside risk of asy. Info
Buyers can take to a garage for an inspection
Can solve some of the asymmetric information problem
Insurance Example
All people have $50k income income
When health shock hits, all lose $20,000
Two groups
Group one has probability of loss of 10%
Group two has probability of loss of 70%
Key assumption: people know their type
EIncome1 0.950K + 0.130K$48K
EIncome2 0.350K + 0.730K$36K
Suppose uY0.5
Easy to show that
EU1 .950K0.5 + .130K0.5 218.6
EU2 .350K0.5 + .730K0.5 188.3
What are these groups willing to pay for insurance?
Insurance will leave them with the same income in both states of the world
In the good state, have income Y, pay premium Prem, UY-Prem0.5
In the bad state, have income Y, pay premium P, experience loss L, receive check from insurance for L
Uw/insurance Y-Prem0.5
Group 1: Certain income that leaves them as well off as if they had no insurance
U Y-Prem0.5 218.6, so Y-Prem 218.62 $47,771
Group 2: same deal
U Y-Prem0.5 188.3, so Y-Prem 188.32 $35,467 |
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