| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 973032 | Mathematical Social Sciences | 2008 | 12 Pages |
Abstract
Maximal elements of a binary relation on compact subsets of a metric space define a choice function. An infinite extension of transitivity is necessary and sufficient for such a choice function to be nonempty-valued and path independent (or satisfy the outcast axiom). An infinite extension of acyclicity is necessary and sufficient for the choice function to have nonempty values provided the underlying relation is an interval order.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nikolai S. Kukushkin,