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- W3123301242 abstract "We extend Berge's Maximum Theorem to allow for incomplete preferences (i.e., reflexive and transitive binary relations which fail to be complete). We first provide a simple version of the Maximum Theorem for convex feasible sets and a fixed preference. Then, we show that if, in addition to the traditional continuity assumptions, a new continuity property for the domains of comparability holds, the limits of maximal elements along a sequence of decision problems are maximal elements in the limit problem. While this new continuity property for the domains of comparability is sufficient, it is not generally necessary. However, we provide conditions under which it is necessary and sufficient for maximality and minimality to be preserved by limits." @default.
- W3123301242 created "2021-02-01" @default.
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- W3123301242 date "2020-01-01" @default.
- W3123301242 modified "2023-09-27" @default.
- W3123301242 title "A Maximum Theorem for Incomplete Preferences" @default.
- W3123301242 hasPublicationYear "2020" @default.
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