Health Insurance Simulation

Foundations of Health Delivery - 2022-2023

John A. Graves, Ph.D.

Basic Idea

  • This exercise is designed to simulate the experience of designing and purchasing health insurance.

  • Some of you will play the role of insurers (2 people / insurer; 6 insurers total)

  • The rest will be “customers” who are deciding whether to buy insurance, and which insurance plan to buy.

Basic Idea

  • We’ll play multiple rounds, with different elements introduced in each round.

In Each Round …

  • Customers will start with $10,000 in “wealth.”
  • Customers will receive a “risk card” numbered from 1 (healthiest) to 6 (sickest).
  • The risk cards tell you how likely it is that you will incur a major medical expense ($5,000) in the plan year.

In Each Round …

Risk Card Value Probability Sick
1 1/6 = 17%
2 1/3 = 33%
3 1/2 = 50%
4 2/3 = 67%
5 5/6 = 83%
6 1 = 100%

In Each Round …

  • Customers will then be asked to shop for an insurance plan.
  • Meanwhile, insurers set premiums based on the specified rules for the round.
  • Insurers tally up the total amount of premiums collected from insured customers.

In Each Round …

  • After plan selections are made, and insurers tally up their total premiums, I will role a dice.
  • The roll of the dice determines realized health care use.
  • If the dice roll is less than or equal to your risk number, you incur $5,000 in medical expenses.

In Each Round …

  • Customers figure out their ending “wealth” by either subtracting your premium (if you purchased insurance) or your medical expenses (if you went uninsured).

  • Insurers figure out their total incurred claims (sum of all medical expenditures incurred among insured members) and whether they make a profit or go insolvent.

Example: Customer

  • I receive a health risk card with a 4.

  • I have a 67% probability of incurring $5,000 in medical expenses.

    • I incur expenses if Dr. Graves rolls a 1, 2, 3, or 4.
Risk Card Value Probability Sick
1 1/6 = 17%
2 1/3 = 33%
3 1/2 = 50%
4 2/3 = 67%
5 5/6 = 83%
6 1 = 100%

Example: Customer

  • An insurer offers me a policy with a $3,000 premium.
  • I decide to purchase the policy.

  • Dr. Graves rolls a 3 for the round.

  • I incur $5,000 in medical expenses because the dice number (3) is less than or equal to my risk value (4).

  • Because I bought insurance, my end-of-year wealth is $7,000 ($10,000 - $3,000).

  • Note that the roll of the dice is irrelevant to me because I bought insurance.

Example: Customer

  • An insurer offers me a policy with a $3,000 premium.
  • I decide NOT to purchase the policy.

  • Dr. Graves rolls a 3.

  • I incur $5,000 in medical expenses because the dice number (3) is less than or equal to my risk value (4).

  • Because I am uninsured, my end-of-year wealth is $5,000 ($10,000 - $5,000).

Example: Insurer

  • I offer a fixed $3,000 premium policy to all-comers.

    • I do not request information (risk score) from potential consumers.
    • I do not deny coverage to anyone.
  • I enroll 10 policyholders, so my “reserves” are $30,000 ($3,000 * 10)

Example: Insurer

  • Here is my insurance pool:
  • Dr. Graves rolls a dice value of 3.
Patient ID Risk Score Premium Incurred Claims
1 2 $3,000
2 5 $3,000
3 2 $3,000
4 3 $3,000
5 6 $3,000
6 4 $3,000
7 3 $3,000
8 4 $3,000
9 4 $3,000
10 2 $3,000

Example: Insurers

  • 7 of my insured members incur medical expenses ($35,000 total = $5,000 * 7)
  • I go bankrupt since my incurred claims are greater than my premium revenue.
Patient ID Risk Score Premium Dice Value Incurred Claims
1 2 $3,000 3 $0
2 5 $3,000 3 $5,000
3 2 $3,000 3 $0
4 3 $3,000 3 $5,000
5 6 $3,000 3 $5,000
6 4 $3,000 3 $5,000
7 3 $3,000 3 $5,000
8 4 $3,000 3 $5,000
9 4 $3,000 3 $5,000
10 2 $3,000 3 $0
Total 30,000.00 35,000.00

Rounds

Round 1

Description Information Pricing Other
Risk Rating, Perfect Information Customers MUST show risk cards to insurers

Round 1

Description Information Pricing Other
Risk Rating, Perfect Information Customers MUST show risk cards to insurers Insurers can charge ANY price to any customer.

Round 1

Description Information Pricing Other
Risk Rating, Perfect Information Customers MUST show risk cards to insurers Insurers can charge ANY price to any customer. Customers can choose NOT to purchase insurance.
Insurers can deny coverage (pre-existing condition exclusion).
Risk Score Probability Sick Actuarily Fair Premium
1 1/6 $833
2 1/3 $1,667
3 1/2 $2,500
4 2/3 $3,333
5 5/6 $4,167
6 1 $5,000

Round 1: Discussion

  • How many with a risk score of 6 bought insurance?

  • How many with a risk score of 1 bought insurance?

  • Did you buy a policy with a premium > the actuarily fair premium?

Round 2

Description Information Pricing Other
Risk Rating, Asymmetric Information Customers do NOT have to show risk cards, but can choose to. Insurers can charge ANY price to any customer. Customers can choose NOT to purchase insurance
Insurers can deny coverage (pre-existing condition exclusion)
Risk Score Probability Sick Actuarily Fair Premium
1 1/6 $833
2 1/3 $1,667
3 1/2 $2,500
4 2/3 $3,333
5 5/6 $4,167
6 1 $5,000

Round 2: Discussion

  • How many with a risk score of 6 bought insurance?

  • How many with a risk score of 1 bought insurance?

Round 3

Description Information Pricing Other
Risk Rating, Asymmetric Information Customers must make an insurance decision BEFORE receiving their risk card. Insurers can charge ANY price to any customer. Customers can choose NOT to purchase insurance
Insurers can deny coverage (pre-existing condition exclusion)

Round 4

Description Information Pricing Other
Community Rating, Perfect Information Customers MUST show risk cards to insurers. Insurers charge the same price to all customers. Customers can choose NOT to purchase insurance
Insurers can deny coverage (pre-existing condition exclusion)

Round 5

Description Information Pricing Other
Community Rating, Perfect Information, Guaranteed Issue Customers MUST show risk cards to insurers. Insurers charge the same price to all customers. Customers can choose NOT to purchase insurance
Insurers CAN NOT deny coverage.