Limited Information and its Impact on a Policyholder's Optimal Choice on Deductibles

When determining the optimal deductible level for an insurance policy, a policyholder faces two sources of uncertainty. First, uncertainty arises from the randomness of future losses. Second, the opacity of the functional forms of the policyholder's loss distribution and utility function also contributes to uncertainty. While the academic literature focuses on the former, we additionally include limited information on these functional forms in our model setting to reflect real-world decision making. That is, we draw on an expected utility framework and analyze the relationship between optimal deductible levels under limited and full information. We also derive several decision rules under limited information in order to approximate the optimal deductible level under full information.