Skip to main content
Log in

Coherent bets under partially resolving uncertainty and belief functions

  • Published:
Theory and Decision Aims and scope Submit manuscript

Abstract

By considering situations of partially resolving uncertainty, a one-to-one correspondence between belief functions and coherent betting systems à la de Finetti is shown to exist.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. P. Dempster: 1967, ‘Upper and lower probabilities induced by a multivalued mapping’, Annals of Mathematical Statistics 38, 325–339.

    Google Scholar 

  2. B. de Finetti: 1974, Theory of Probabilities, Vol. 1, Wiley, New York.

    Google Scholar 

  3. D. Gale: 1960, The Theory of Linear Economic Models, McGraw Hill, New York.

    Google Scholar 

  4. L. J. Savage: 1972, The Foundations of Statistics (2d ed.), Dover Publications, New York.

    Google Scholar 

  5. G. Shafer: 1976, A Mathematical Theory of Evidence, Princeton University Press, Princeton.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jaffray, JY. Coherent bets under partially resolving uncertainty and belief functions. Theor Decis 26, 99–105 (1989). https://doi.org/10.1007/BF00159221

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00159221

Keywords

Navigation