This article studies two classes of profiling problems where the relevant structural inputs to the problems may be only partially identified: that where profilees are not 'strategic' in altering their characteristics and that where profilees strategically alter their characteristics at a cost. The analysis is unified by assuming there is a utilitarian planner that attempts to optimise the sum of welfare. We compare maximin solutions and minimax-regret solutions in two contexts. An unexpected feature of the minimax-regret solution is that a minimax-regret planner may end up learning unknown features of the population it faces rather quickly relative to a maximin planner. Copyright 2006 The Author(s). Journal compilation Royal Economic Society 2006.
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