# Choice functions based on sets of strict partial orders: an axiomatic characterisation

arXiv: https://arxiv.org/abs/2003.11631 · HTML: https://mlsanity.com/paper/2003.11631/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Mar 2020.

## Built on by (most cited first, 1 of 1)

- [On a notion of independence proposed by Teddy Seidenfeld](https://mlsanity.com/paper/2102.10342/) (2021)

## Abstract (arXiv)

Methods for choosing from a set of options are often based on a strict partial order on these options, or on a set of such partial orders. I here provide a very general axiomatic characterisation for choice functions of this form. It includes as special cases axiomatic characterisations for choice functions based on (sets of) total orders, (sets of) weak orders, (sets of) coherent lower previsions and (sets of) probability measures.