AAMAS Conference 2025 Conference Paper
When to Stop Getting Tested: The Theory of Diagnostic Tests
- Anson Kahng
- Joseph Saber
We present and analyze a simple model for medical care in which patients may take relatively low-cost medical tests in order to update their beliefs about the probability that they have a particular disease. At any point, patients may leave the testing domain and either risk the effects of the disease or seek expensive treatment. We explore the question of when patients should stop getting tested. In particular, we study two variants of this game in which patients may take an infinite or finite number of tests. We numerically solve for optimal strategies in both the finite and infinite cases, and analytically derive optimal behavior for well-behaved subcases in the infinite setting. We also experimentally explore variants of our basic medical testing model.