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Choice Functions on Posets

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Abstract

In the paper we study choice functions on posets satisfying the conditions of heredity and outcast. For every well-ordered sequence of elements of a poset, we define the corresponding ‘elementary’ choice function. Every such choice function satisfies the conditions of heredity and outcast. Inversely, every choice function satisfying the conditions of heredity and outcast can be represented as a union of several elementary choice functions. This result generalizes the Aizerman-Malishevski theorem about the structure of path-independent choice functions.

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  1. Central Institute of Economics and Mathematics of the RAS, 47, Nakhimovskii Prospect, 117418, Moscow, Russia

    Danilov V. I.

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  1. Danilov V. I.
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Correspondence to Danilov V. I..

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I., D.V. Choice Functions on Posets. Order 40, 387–396 (2023). https://doi.org/10.1007/s11083-022-09618-2

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  • DOI: https://doi.org/10.1007/s11083-022-09618-2

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