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Social solidarity with dummies in the museum pass problem

Author

Listed:
  • Ricardo Martínez

    (Department of Economic Theory and Economic History, University of Granada.)

  • Joaquín Sánchez-Soriano

    (Centro de Investigación Operativa (CIO), Universidad Miguel Hernández de Elche.)

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; social solidarity 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 social solidarity 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.

Suggested Citation

  • Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Social solidarity with dummies in the museum pass problem," ThE Papers 21/11, Department of Economic Theory and Economic History of the University of Granada..
  • Handle: RePEc:gra:wpaper:21/11
    as

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    File URL: http://www.ugr.es/~teoriahe/RePEc/gra/wpaper/thepapers21_11.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    museum passes; social solidarity; dummy; Shapley rule; uniform rule.;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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