Year: 2021
Type: preprint
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 poset, we define the corresponding `elementary' choice function. Every such a choice function satisfies the conditions of heredity and outcast. Inversely, every choice functions satisfying the conditions of heredity and outcast can be represented as union of several elementary choice functions. This result generalizes the Aizerman-Malishevsky theorem about structure of path-independent choice functions.
Source: arXiv (Cornell University)
Author: Danilov, Vladimir
Language: English
Subfield: Economics and Econometrics
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W4394669919