The idea that equity has to do with allocating, say, income, between different actors
proportionately to their inputs, deserts, or needs goes back at least to Aristotle,
and has been the object of a number of modern examinations, reformulations, and
refinements. We base our analysis on a partial order and are concerned with the
de.nition and properties of ‘a step in the direction of more
equity’ when the total to be allocated is constant. While this approach to
equity seems to be novel, we obtain results that are remarkably consistent with
those of earlier work.
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