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New results for multi-issue allocation problems and their solutions

Author

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  • J. Sánchez-Pérez

    (UASLP
    Facultad de Economía, UASLP)

Abstract

In this paper we present a different perspective than the more traditional approaches to study solutions for multi-issue allocation problems. This perspective is based on a direct sum decomposition for the vector space of these problems by identifying those subspaces that are relevant to the study of linear symmetric solutions. We then use such decomposition to derive some basic applications involving characterizations of several classes of solutions. Finally, we present a brief set of results relating coalitional game theory and multi-issue allocation problems.

Suggested Citation

  • J. Sánchez-Pérez, 2023. "New results for multi-issue allocation problems and their solutions," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 313-336, June.
    • Handle: RePEc:spr:reecde:v:27:y:2023:i:2:d:10.1007_s10058-022-00293-8
    DOI: 10.1007/s10058-022-00293-8
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    References listed on IDEAS

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    More about this item

    Keywords

    Multi-issue allocation problems; Axiomatic solutions; Linearity; Symmetry;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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