The principle of extended dominance is applied in incremental cost-eff
ectiveness analysis to eliminate from consideration strategies whose c
osts and benefits are improved by a mixed strategy of two other altern
atives. Ethical considerations arise, however, in that equal care is n
ot provided to all of the population. To explore these concerns, the a
uthors establish a theoretical health care example with three diagnost
ic strategies. They demonstrate, both algebraically and geometrically,
how to calculate the set of all possible mixed strategies that domina
te the strategy eliminated by extended dominance. With the considerati
on of budget constraints, they define the ''coefficient of inequity''
as the minimum proportion of the population that would receive an infe
rior health care strategy if a mixed strategy were to be used instead
of the dominated strategy. The implications of cost-effectiveness anal
ysis are made explicit, revealing classic economic concerns about the
tradeoff of equity and efficiency.