Munich Personal RePEc Archive

On the choice of most-preferred alternatives

Kukushkin, Nikolai S. (2006): On the choice of most-preferred alternatives.

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Abstract

Maximal elements of a binary relation on compact subsets of a metric space define a choice function. Necessary and sufficient conditions are found for: (1) the choice function to have nonempty values and be path independent; (2) the choice function to have nonempty values provided the underlying relation is an interval order. For interval orders and semiorders, the same properties are characterized in terms of representations in a chain.

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