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Nikolai S. Kukushkin
''On the existence of undominated alternatives in convex sets''
( 2019, Vol. 39 No.3 )
Necessary and sufficient conditions are found for an interval order to admit a maximizer in every convex, or convex and compact, subset of its domain. The conditions are formulated in terms of "improvement paths" and are somewhat similar to conditions characterizing interval orders admitting a maximizer in every compact subset. For a stronger, "von Neumann-Morgenstern," property - every dominated alternative is dominated by an undominated one - only a sufficient condition is obtained.
Keywords: Preference relation, Interval order, Maximal element, Necessary and sufficient condition
JEL: D1 - Household Behavior: General
D7 - Analysis of Collective Decision-Making: General
Manuscript Received : Jun 07 2019 Manuscript Accepted : Sep 30 2019

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