Orders on Subsets Rationalised by Abstract Convex Geometries

نویسندگان

  • Walter Bossert
  • Matthew J. Ryan
  • Arkadii M. Slinko
چکیده

We find conditions on the order on subsets of a finite set which are necessary and sufficient for the relative ranking of any two subsets in this order to be determined by their extreme elements relative to an abstract convex geometry. It turns out that this question is closely related to the rationalisability of path independent choice functions by hyper-relations.

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عنوان ژورنال:
  • Order

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2009