# Conditioning Accept-Desirability models in the context of AGM-like belief change

arXiv: https://arxiv.org/abs/2512.19096 · HTML: https://mlsanity.com/paper/2512.19096/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 4 of its 35 references that are in the map.
- First posted on arXiv 22 Dec 2025.

## Builds on (most cited first, 4 of 4)

- [Coherent and Archimedean choice in general Banach spaces](https://mlsanity.com/paper/2002.05461/) (2020)
- [Nonlinear desirability theory](https://mlsanity.com/paper/2209.00686/) (2022)
- [Conditioning and AGM-like belief change in the Desirability-Indifference framework](https://mlsanity.com/paper/2502.06235/) (2025)
- [Conditioning through indifference in quantum mechanics](https://mlsanity.com/paper/2502.06249/) (2025)

## Abstract (arXiv)

We discuss conditionalisation for Accept-Desirability models in an abstract decision-making framework, where uncertain rewards live in a general linear space, and events are special projection operators on that linear space. This abstract setting allows us to unify classical and quantum probabilities, and extend them to an imprecise probabilities context. We introduce a new conditioning rule for our Accept-Desirability models, based on the idea that observing an event introduces new indifferences between options. We associate a belief revision operator with our conditioning rule, and investigate which of the AGM axioms for belief revision still hold in our more general framework. We investigate two interesting special cases where all of these axioms are shown to still hold: classical propositional logic and full conditional probabilities.