Gerard Debreu introduced a well known radial eciency measure which he called a `coecient of resource utilization'. He derived this scalar from a much less well known `dead loss function' that characterizes the monetary value sacri ced to ineciency, and which is to be minimized subject to a normalization condition. We use Debreu's loss function, together with a variety of normalization conditions, to generate several popular families of linear eciency models. Linearity is a computational consideration rather than a theoretical requirement. Our methodology also can be employed to generate entirely new families of linear eciency models.
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