Comment to the Editor: On Continuity of Fixed-Fraction Rules for Sharing Sequentially Triggered Losses

The class of fixed-fraction rules for sharing sequentially triggered losses has been axiomatized using a set of axioms that include continuity. In this note, we show that continuity is redundant because it is implied by the other axioms. This allows for a more parsimonious characterization and thus reducing complexity. This paper was accepted by Manel Baucels, behavioral economics and decision analysis. Funding: T. Oishi acknowledges financial support from the Japan Society for the Promotion of Science [KAKENHI Grant-in-Aid for Scientific Research (C), Project 24K04913]. E. Gavilán and C. Manuel acknowledge financial support from the Complutense University of Madrid [Grant PR27/25-32473].