A Study of the Set of Probability Measures Compatible with Comparative Judgements

We consider a set of comparative probability judgements over a finite possibility space and study the structure of the set of probability measures that are compatible with them. We relate the existence of some compatible probability measure to Walley’s behavioural theory of imprecise probabilities, and introduce a graphical representation that allows us to bound, and in some cases determine, the extreme points of the set of compatible measures. In doing this, we generalise some earlier work by Miranda and Destercke on elementary comparisons.

• Publication year

  2020

• Venue

  International Conference on Information Processing and Management of Uncertainty

• Publication date

  2020-05-15

• Fields of study

  Mathematics, Philosophy, Computer Science

• Identifiers
  DOI 10.1007/978-3-030-50143-3_13PMCID 7274736
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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