Information Algebras of Coherent Sets of Gambles in General Possibility Spaces
Abstract
In this paper, we show that coherent sets of gambles can be embedded into the algebraic structure of information algebra. This leads firstly, to a new perspective of the algebraic and logical structure of desirability and secondly, it connects desirability, hence imprecise probabilities, to other formalism in computer science sharing the same underlying structure. Both the domain-free and the labeled view of the information algebra of coherent sets of gambles are presented, considering general possibility spaces.
Cite
Text
Kohlas et al. "Information Algebras of Coherent Sets of Gambles in General Possibility Spaces." Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications, 2021.Markdown
[Kohlas et al. "Information Algebras of Coherent Sets of Gambles in General Possibility Spaces." Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications, 2021.](https://mlanthology.org/isipta/2021/kohlas2021isipta-information/)BibTeX
@inproceedings{kohlas2021isipta-information,
title = {{Information Algebras of Coherent Sets of Gambles in General Possibility Spaces}},
author = {Kohlas, Juerg and Casanova, Arianna and Zaffalon, Marco},
booktitle = {Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications},
year = {2021},
pages = {191-200},
volume = {147},
url = {https://mlanthology.org/isipta/2021/kohlas2021isipta-information/}
}