# Exchangeable choice functions

**Authors:** Arthur Van Camp, Gert de Cooman

arXiv: 1703.01924 · 2017-03-07

## TL;DR

This paper explores modeling exchangeability using choice functions, establishing a connection to de Finetti's theorem and providing a framework for finite and countable cases.

## Contribution

It introduces a novel approach to represent exchangeability through choice functions, extending classical results to new contexts.

## Key findings

- Exchangeability modeled via choice functions
- De Finetti's Representation Theorem extended to finite and countable cases
- Framework for structural assessment of uncertain sequences

## Abstract

We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments are a special indifference assessment, and how that leads to a counterpart of de Finetti's Representation Theorem, both in a finite and a countable context.

## Full text

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## References

14 references — full list in the complete paper: https://tomesphere.com/paper/1703.01924/full.md

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Source: https://tomesphere.com/paper/1703.01924