# Results about sets of desirable gamble sets

arXiv: https://arxiv.org/abs/2404.17924 · HTML: https://mlsanity.com/paper/2404.17924/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 11 references that are in the map.
- First posted on arXiv 27 Apr 2024.

## Builds on (most cited first, 2 of 2)

- [A Desirability-Based Axiomatisation for Coherent Choice Functions](https://mlsanity.com/paper/1806.01044/) (2018)
- [A theory of desirable things](https://mlsanity.com/paper/2302.07412/) (2023)

## Abstract (arXiv)

Coherent sets of desirable gamble sets is used as a model for representing an agents opinions and choice preferences under uncertainty. In this paper we provide some results about the axioms required for coherence and the natural extension of a given set of desirable gamble sets. We also show that coherent sets of desirable gamble sets can be represented by a proper filter of coherent sets of desirable gambles.