Adverse Selection

Adverse selection is the proclivity of those with higher risk to purchase insurance in greater amounts than those with lower risk. Much of insurance law and practice is designed to control adverse selection. This simulates how the distribution of risk versus risk aversion levels among the members of the pool interacts with the classification criterion used by the insurer to produce different levels of adverse selection. You can adjust the characteristics of the pool using the sliders and adjust the criterion used to separate the pool into "low-risk" (blue) and "high-risk" (yellow) by dragging the red line to the left or right. Darker and larger points show insureds who purchase insurance; lighter and smaller points show potential insureds who decline to purchase insurance. With the graphics complexity control set to medium or higher, dashed lines show the equilibrium premiums for insurance. With the graphics complexity control set to high, arrows show the increase in premium prices due to adverse selection.



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Snapshot 1: with high levels of risk aversion in the potential insurance pool, adverse selection is not a serious problem
Snapshot 2: with low levels of risk aversion in a pool that is heterogeneous with respect to risk, adverse selection can be a serious problem, even with binary classification systems
Snapshot 3: the locator dividing the low-risk pool from the high-risk pool has been moved so that everyone is now in the low-risk pool; the result is high levels of adverse selection
Snapshot 4: the creation of a classification system decreases adverse selection by permitting a number of low-risk insureds to purchase insurance; premiums for those in the high-risk pool are, however, slightly higher than they would have been if no classification system had been employed
Risk aversion is not measured in this Demonstration using Arrow–Pratt coefficients. Rather, for simplicity and to accelerate computation of optimal behavior, risk aversion is equal to the value such that the insured will purchase insurance if and only if .
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students. »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+