This note comments on the application of results from the theory of fair co
mpensation to risk adjustment. It argues that the main flaw of such applica
tion lies in the consideration of health plans merely as administrative soc
ial agents, through which money flows from a central fund to providers of m
edical care, ignoring their economic behaviour. However, it is that behavio
ur which raises the issue of risk selection to begin with. With linear heal
th expenditure function, the fair compensation axiomatic solution is shown
to be equivalent to the solution of a simple optimal regulation problem. Th
at equivalence permits the analysis of several further issues related to ri
sk adjustment and to the application of the theory of fair compensation to
it. Copyright (C) 2000 John Wiley & Sons, Ltd.