Williams coherence and beyond

  • Authors:

  • Renato Pelessoni;Paolo Vicig

  • Affiliations:

  • Dipartimento di Matematica Applicata 'B. de Finetti', University of Trieste, Piazzale Europa 1, I 34127 Trieste, Italy;Dipartimento di Matematica Applicata 'B. de Finetti', University of Trieste, Piazzale Europa 1, I 34127 Trieste, Italy

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2009

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Abstract

In this paper we discuss the consistency concept of Williams coherence for imprecise conditional previsions, presenting a variant of this notion, which we call W-coherence. It is shown that W-coherence ensures important consistency properties and is quite general and well-grounded. This is done comparing it with alternative or anyway similar known and less known consistency definitions. The common root of these concepts is that they variously extend to imprecision the subjective probability approach championed by de Finetti. The analysis in the paper is also helpful in better clarifying several little investigated aspects of these notions.