Normally preordered spaces and continuous multi-utilities
Submitted: 2016-01-18
|Accepted: 2016-03-16
|Published: 2016-04-12
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Keywords:
normally preordered space, perfectly normally preordered space, multi-utility representation
Supporting agencies:
Abstract:
We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence a Richter-Peleg multi-utility representation, by assuming the existence of a countable net weight.
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