Infinite exchangeability for sets of desirable gambles

Gert de Cooman, Erik Quaeghebeur

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

4 Citations (Scopus)

Abstract

Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We study infinite exchangeability assessments for them, and give a counterpart of de Finetti's infinite representation theorem. We show how the infinite representation in terms of frequency vectors is tied up with multivariate Bernstein (basis) polynomials. We also lay bare the relationships between the representations of updated exchangeable models, and discuss conservative inference (natural extension) under exchangeability.

Original languageEnglish
Title of host publicationInformation Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods
EditorsEyke Hullermeier, Rudolf Kruse, Frank Hoffmann
Pages60-69
Number of pages10
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventInformation Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 13th International Conference, IPMU 2010, Proceedings - Dortmund, Germany
Duration: 28 Jun 20102 Jul 2010

Publication series

NameCommunications in Computer and Information Science
Volume80 PART 1
ISSN (Print)1865-0929

Conference

ConferenceInformation Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 13th International Conference, IPMU 2010, Proceedings
CountryGermany
CityDortmund
Period28/06/102/07/10

Keywords

  • coherence
  • desirability
  • exchangeability
  • natural extension
  • representation
  • sets of desirable gambles
  • updating
  • weak desirability

Fingerprint Dive into the research topics of 'Infinite exchangeability for sets of desirable gambles'. Together they form a unique fingerprint.

Cite this