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Weakened WARP and top-cycle choice rules. (English) Zbl 1141.91358
Summary: We propose the following weakened version of WARP: if the decision maker selects an alternative $$x$$ and rejects another alternative $$y$$ in some context, he cannot select y and reject x in another context. This axiom is consistent with cyclic choices. It is necessary and sufficient for the choice from every subset $$A$$ of a (finite) universal set $$X$$ to coincide with the weak upper-contour set of the transitive closure of some fixed complete relation at some alternative in $$A$$. Adding further simple axioms forces the choice from each subset to coincide with the top cycle (in that subset) of some fixed tournament over the universal set.

##### MSC:
 91B06 Decision theory 91B14 Social choice
##### Keywords:
context independence; weakened WARP; top cycle
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##### References:
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