Path independent choice and the ranking of opportunity sets |
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Authors: | Matthew Ryan |
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Affiliation: | 1. Department of Economics and Centre for Mathematical Social Science (CMSS), University of Auckland, Auckland, New Zealand
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Abstract: | The indirect utility principle provides an instrumentalist basis for ranking opportunity sets, given an underlying preference ranking on alternatives. Opportunity set A is weakly preferred to B if A includes at least one preference-maximising element from $Acup B$ . We introduce the Plott consistency principle as a natural extension of this logic to decision-makers who choose amongst alternatives according to a path independent choice function. Such choice functions need not be rationalisable by a preference order. Plott consistency requires that A is an acceptable choice from $left{ A, Bright} $ if A includes at least one element from the set of acceptable choices from $Acup B$ . We explore necessary and sufficient conditions (imposed on a choice function defined on collections of opportunity sets) for Plott consistency. |
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