Desirable sets of things and their logic

Gert de Cooman, Arthur Van Camp, Jasper De Bock
Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, PMLR 215:153-164, 2023.

Abstract

We identify the logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles and coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.

Cite this Paper

BibTeX
@InProceedings{pmlr-v215-cooman23a, title = {Desirable sets of things and their logic}, author = {de Cooman, Gert and Van Camp, Arthur and De Bock, Jasper}, booktitle = {Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications}, pages = {153--164}, year = {2023}, editor = {Miranda, Enrique and Montes, Ignacio and Quaeghebeur, Erik and Vantaggi, Barbara}, volume = {215}, series = {Proceedings of Machine Learning Research}, month = {11--14 Jul}, publisher = {PMLR}, pdf = {https://proceedings.mlr.press/v215/cooman23a/cooman23a.pdf}, url = {https://proceedings.mlr.press/v215/cooman23a.html}, abstract = {We identify the logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles and coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.} }
Endnote
%0 Conference Paper %T Desirable sets of things and their logic %A Gert de Cooman %A Arthur Van Camp %A Jasper De Bock %B Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications %C Proceedings of Machine Learning Research %D 2023 %E Enrique Miranda %E Ignacio Montes %E Erik Quaeghebeur %E Barbara Vantaggi %F pmlr-v215-cooman23a %I PMLR %P 153--164 %U https://proceedings.mlr.press/v215/cooman23a.html %V 215 %X We identify the logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles and coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.
APA
de Cooman, G., Van Camp, A. & De Bock, J.. (2023). Desirable sets of things and their logic. Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, in Proceedings of Machine Learning Research 215:153-164 Available from https://proceedings.mlr.press/v215/cooman23a.html.

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