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Abstract
Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We study exchangeability assessments for such models, and prove a counterpart of de Finetti's finite representation theorem. We show that this representation theorem has a very nice geometrical interpretation. We also lay bare the relationships between the representations of updated exchangeable models, and discuss conservative inference (natural extension) under exchangeability.
Keywords
coherence, exchangeability, sets of desirable gambles, weak desirability, representation, desirability, natural extension, real desirability, updating

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Citation

Please use this url to cite or link to this publication:

Chicago
De Cooman, Gert, and Erik Quaeghebeur. 2009. “Exchangeability for Sets of Desirable Gambles.” In ISIPTA  ’09 : Proceedings of the Sixth International Symposium on Imprecise Probability : Theories and Applications, ed. Thomas Augustin, Frank PA Coolen, Serafin Moral, and Matthias CM Troffaes, 159–168. Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA).
APA
De Cooman, Gert, & Quaeghebeur, E. (2009). Exchangeability for sets of desirable gambles. In T. Augustin, F. P. Coolen, S. Moral, & M. C. Troffaes (Eds.), ISIPTA  ’09 : proceedings of the sixth international symposium on imprecise probability : theories and applications (pp. 159–168). Presented at the 6th International symposium on Imprecise Probability : Theories and Applications, Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA).
Vancouver
1.
De Cooman G, Quaeghebeur E. Exchangeability for sets of desirable gambles. In: Augustin T, Coolen FP, Moral S, Troffaes MC, editors. ISIPTA  ’09 : proceedings of the sixth international symposium on imprecise probability : theories and applications. Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA); 2009. p. 159–68.
MLA
De Cooman, Gert, and Erik Quaeghebeur. “Exchangeability for Sets of Desirable Gambles.” ISIPTA  ’09 : Proceedings of the Sixth International Symposium on Imprecise Probability : Theories and Applications. Ed. Thomas Augustin et al. Manno, Switzerland: Society for Imprecise Probability : Theories and Applications (SIPTA), 2009. 159–168. Print.
@inproceedings{718913,
  abstract     = {Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We study exchangeability assessments for such models, and prove a counterpart of de Finetti's finite representation theorem. We show that this representation theorem has a very nice geometrical interpretation. We also lay bare the relationships between the representations of updated exchangeable models, and discuss conservative inference (natural extension) under exchangeability.},
  author       = {De Cooman, Gert and Quaeghebeur, Erik},
  booktitle    = {ISIPTA '09 : proceedings of the sixth international symposium on imprecise probability : theories and applications},
  editor       = {Augustin, Thomas and Coolen, Frank PA and Moral, Serafin and Troffaes, Matthias CM},
  keyword      = {coherence,exchangeability,sets of desirable gambles,weak desirability,representation,desirability,natural extension,real desirability,updating},
  language     = {eng},
  location     = {Durham, England},
  pages        = {159--168},
  publisher    = {Society for Imprecise Probability : Theories and Applications (SIPTA)},
  title        = {Exchangeability for sets of desirable gambles},
  url          = {http://www.sipta.org/isipta09/proceedings/059.html},
  year         = {2009},
}

Web of Science
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