Order Preservation with Dummies in the Museum Pass Problem

Annals of Operations Research, Forthcoming

22 Pages Posted: 28 Dec 2023

See all articles by Ricardo Martinez

Ricardo Martinez

University of Granada

Joaquín Sánchez-Soriano

Universidad Miguel Hernández de Elche

Date Written: September 15, 2023

Abstract

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.

Keywords: museum pass problem, order preservation, dummy, Shapley rule, uniform rule

JEL Classification: C71, D61, D63, D71

Suggested Citation

Martinez, Ricardo and Sánchez-Soriano, Joaquín, Order Preservation with Dummies in the Museum Pass Problem (September 15, 2023). Annals of Operations Research, Forthcoming, Available at SSRN: https://ssrn.com/abstract=4647934 or http://dx.doi.org/10.2139/ssrn.4647934

Ricardo Martinez (Contact Author)

University of Granada ( email )

C/Rector López Argueta S/N
Granada, Granada 18071
Spain

Joaquín Sánchez-Soriano

Universidad Miguel Hernández de Elche ( email )

Avenida de la Universidad s/n
Elche, Alicante 03202
Spain

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