Advanced search
1 file | 133.81 KB

Characterizing the set of coherent lower previsions with a finite number of constraints or vertices

Author
Organization
Abstract
The standard coherence criterion for lower previsions is expressed using an infinite number of linear constraints. For lower previsions that are essentially defined on some finite set of gambles on a finite possibility space, we present a reformulation of this criterion that only uses a finite number of constraints. Any such lower prevision is coherent if it lies within the convex polytope defined by these constraints. The vertices of this polytope are the extreme coherent lower previsions for the given set of gambles. Our reformulation makes it possible to compute them. We show how this is done and illustrate the procedure and its results.

Downloads

  • DYSCO-ELPrev-poster.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 133.81 KB

Citation

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

Chicago
Quaeghebeur, Erik. 2010. “Characterizing the Set of Coherent Lower Previsions with a Finite Number of Constraints or Vertices.” In Interuniversity Attaction Pole IAP VI/4-DYSCO, Book of Abstracts, 19–19.
APA
Quaeghebeur, E. (2010). Characterizing the set of coherent lower previsions with a finite number of constraints or vertices. Interuniversity Attaction Pole IAP VI/4-DYSCO, Book of abstracts (pp. 19–19). Presented at the Interuniversity Attaction Pole IAP VI/4-DYSCO Study Day.
Vancouver
1.
Quaeghebeur E. Characterizing the set of coherent lower previsions with a finite number of constraints or vertices. Interuniversity Attaction Pole IAP VI/4-DYSCO, Book of abstracts. 2010. p. 19–19.
MLA
Quaeghebeur, Erik. “Characterizing the Set of Coherent Lower Previsions with a Finite Number of Constraints or Vertices.” Interuniversity Attaction Pole IAP VI/4-DYSCO, Book of Abstracts. 2010. 19–19. Print.
@inproceedings{1974580,
  abstract     = {The standard coherence criterion for lower previsions is expressed using an infinite number of linear constraints. For lower previsions that are essentially defined on some finite set of gambles on a finite possibility space, we present a reformulation of this criterion that only uses a finite number of constraints. Any such lower prevision is coherent if it lies within the convex polytope defined by these constraints. The vertices of this polytope are the extreme coherent lower previsions for the given set of gambles. Our reformulation makes it possible to compute them. We show how this is done and illustrate the procedure and its results.},
  author       = {Quaeghebeur, Erik},
  booktitle    = {Interuniversity Attaction Pole IAP VI/4-DYSCO, Book of abstracts},
  language     = {eng},
  location     = {Court-St-Etienne, Belgium},
  pages        = {19--19},
  title        = {Characterizing the set of coherent lower previsions with a finite number of constraints or vertices},
  year         = {2010},
}