Coherence in the aggregate: a betting method for belief functions on many-valued events

Betting methods, of which de Finetti's Dutch Book is by far the most wellknown, are uncertainty modelling devices which accomplish a two-fold aim. Whilst providing an (operational) interpretation of the relevant measure of uncertainty, they also provide a formal definition of coherence. The main purpose of this paper is to put forward a betting method for belief functions on MV-algebras of many-valued events which allows us to isolate the corresponding coherence criterion, which we term coherence in the aggregate. Our framework generalises the classical Dutch Book method. URL http://www.sciencedirect.com/science/article/pii/S0888613X1500002X [8] Source URL: https://www.iiia.csic.es/en/node/53887 Links [1] https://www.iiia.csic.es/en/staff/tommaso-flaminio [2] https://www.iiia.csic.es/en/staff/llu%C3%ADs-godo [3] https://www.iiia.csic.es/en/bibliography?f[author]=84 [4] https://www.iiia.csic.es/en/bibliography?f[keyword]=696 [5] https://www.iiia.csic.es/en/bibliography?f[keyword]=699 [6] https://www.iiia.csic.es/en/bibliography?f[keyword]=698 [7] https://www.iiia.csic.es/en/bibliography?f[keyword]=697 [8] http://www.sciencedirect.com/science/article/pii/S0888613X1500002X