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We study the problem of sharing the revenue obtained by selling museum passesfrom the axiomatic perspective. In this setting, we propose replacing the usualdummy axiom with a milder requirement: order preservation with dummies. Thisnew axiom formalizes the philosophical idea that even null agents/museums mayhave the right to receive a minimum allocation in a sharing situation. Byreplacing dummy with order preservation with dummies, we characterize severalfamilies of rules, which are convex combinations of the uniform and Shapleyapproaches. Our findings generalize several existing results in the literature.Also, we consider a domain of problems that is richer than the domain proposedby Ginsburgh and Zang (2003) in their seminal paper on the museum pass problem.

Order preservation with dummies in the musseum pass problem