  We study the problem of sharing the revenue obtained by selling museum passes
from the axiomatic perspective. In this setting, we propose replacing the usual
dummy axiom with a milder requirement: order preservation with dummies. This
new axiom formalizes the philosophical idea that even null agents/museums may
have the right to receive a minimum allocation in a sharing situation. By
replacing dummy with order preservation with dummies, we characterize several
families of rules, which are convex combinations of the uniform and Shapley
approaches. Our findings generalize several existing results in the literature.
Also, we consider a domain of problems that is richer than the domain proposed
by Ginsburgh and Zang (2003) in their seminal paper on the museum pass problem.
