New conference paper: Independent natural extension for sets of desirable gambles
Independent natural extension for sets of desirable gambles (preprint pdf)
by Gert de Cooman and Enrique Miranda
Abstract: We investigate how to combine a number of marginal coherent sets of desirable gambles into a joint set using the properties of epistemic irrelevance and independence. We provide formulas for the smallest such joint, called their independent natural extension, and study its main properties. The independent natural extension of maximal sets of gambles allows us to define the strong product of sets of desirable gambles. Finally, we explore an easy way to generalise these results to also apply for the conditional versions of epistemic irrelevance and independence.
Accepted for presentation at ISIPTA’11 and for publication in the ISIPTA’11 Proceedings.
I will update the bibliographic information as it comes in.