Information Algebras of Coherent Sets of Gambles in General Possibility Spaces

Juerg Kohlas, Arianna Casanova, Marco Zaffalon
Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications, PMLR 147:191-200, 2021.

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 this Paper

BibTeX
@InProceedings{pmlr-v147-kohlas21a, 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}, pages = {191--200}, year = {2021}, editor = {Cano, Andrés and De Bock, Jasper and Miranda, Enrique and Moral, Serafı́n}, volume = {147}, series = {Proceedings of Machine Learning Research}, month = {06--09 Jul}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v147/kohlas21a/kohlas21a.pdf}, url = {https://proceedings.mlr.press/v147/kohlas21a.html}, 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.} }
Endnote
%0 Conference Paper %T Information Algebras of Coherent Sets of Gambles in General Possibility Spaces %A Juerg Kohlas %A Arianna Casanova %A Marco Zaffalon %B Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications %C Proceedings of Machine Learning Research %D 2021 %E Andrés Cano %E Jasper De Bock %E Enrique Miranda %E Serafı́n Moral %F pmlr-v147-kohlas21a %I PMLR %P 191--200 %U https://proceedings.mlr.press/v147/kohlas21a.html %V 147 %X 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.
APA
Kohlas, J., Casanova, A. & Zaffalon, M.. (2021). Information Algebras of Coherent Sets of Gambles in General Possibility Spaces. Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications, in Proceedings of Machine Learning Research 147:191-200 Available from https://proceedings.mlr.press/v147/kohlas21a.html.

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