Layers of zero probability and stable coherence over Łukasiewicz events

The notion of stable coherence has been recently introduced to characterize coherent assignments to conditional many-valued events by means of hyperreal-valued states. In a nutshell, an assignment, or book, β on a finite set of conditional events is stably coherent if there exists a coherent variant β of β such that β maps all antecedents of conditional events to a strictly positive hyperreal number, and such that β and β differ by an infinitesimal. In this paper, we provide a characterization of stable coherence in terms of layers of zero probability for books on Łukasiewicz logic events. © 2016, Springer-Verlag Berlin Heidelberg.The authors would like to thank there referee for the valuable comments that considerably improved the presentation of this paper. Flaminio has been funded by the Italian project FIRB 2010 (RBFR10DGUA_002). Godo has been also funded by the MINECO/FEDER Project TIN2015-71799-C2-1-P.Peer Reviewe