Abstract
This paper develops Michael Grossman's demand-for-health model by letting the depreciation rate depend upon the level of health, by letting the incidence and size of illness be uncertain and by investigating how the individual's demand for health would be affected by the introduction of insurance. Beside the more theoretical results, there are also some results with important policy implications. When formulating the hypothetical scenario in willingness to pay (WTP) studies it is important whether the individual believes that the level of health is uncertain or not. The existence of insurance could also affect the stated WTP amount. Taking this into account could therefore explain some of the differences in the WTP for seemingly identical health care programs in different countries or different areas in the same country.
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