On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices

In this paper we study the class of claims problems where the amount to be divided is perfectly divisible and claims are made on indivisible units of several items. Each item has a price, and the available amount falls short to be able to cover all the claims at the given prices. We propose several...

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Autores principales: Estañ, Teresa, Llorca, Natividad, Martínez, Ricardo, Sánchez-Soriano, Joaquín
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8239333/
https://www.ncbi.nlm.nih.gov/pubmed/34219972
http://dx.doi.org/10.1007/s10726-021-09750-1
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author Estañ, Teresa
Llorca, Natividad
Martínez, Ricardo
Sánchez-Soriano, Joaquín
author_facet Estañ, Teresa
Llorca, Natividad
Martínez, Ricardo
Sánchez-Soriano, Joaquín
author_sort Estañ, Teresa
collection PubMed
description In this paper we study the class of claims problems where the amount to be divided is perfectly divisible and claims are made on indivisible units of several items. Each item has a price, and the available amount falls short to be able to cover all the claims at the given prices. We propose several properties that may be of interest in this particular framework. These properties represent the common principles of fairness, efficiency, and non-manipulability by merging or splitting. Efficiency is our focal principle, which is formalized by means of two axioms: non-wastefulness and Pareto efficiency. We show that some combinations of the properties we consider are compatible, others are not.
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spelling pubmed-82393332021-06-29 On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices Estañ, Teresa Llorca, Natividad Martínez, Ricardo Sánchez-Soriano, Joaquín Group Decis Negot Article In this paper we study the class of claims problems where the amount to be divided is perfectly divisible and claims are made on indivisible units of several items. Each item has a price, and the available amount falls short to be able to cover all the claims at the given prices. We propose several properties that may be of interest in this particular framework. These properties represent the common principles of fairness, efficiency, and non-manipulability by merging or splitting. Efficiency is our focal principle, which is formalized by means of two axioms: non-wastefulness and Pareto efficiency. We show that some combinations of the properties we consider are compatible, others are not. Springer Netherlands 2021-06-29 2021 /pmc/articles/PMC8239333/ /pubmed/34219972 http://dx.doi.org/10.1007/s10726-021-09750-1 Text en © The Author(s) 2021, corrected publication 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Estañ, Teresa
Llorca, Natividad
Martínez, Ricardo
Sánchez-Soriano, Joaquín
On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices
title On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices
title_full On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices
title_fullStr On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices
title_full_unstemmed On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices
title_short On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices
title_sort on the difficulty of budget allocation in claims problems with indivisible items and prices
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8239333/
https://www.ncbi.nlm.nih.gov/pubmed/34219972
http://dx.doi.org/10.1007/s10726-021-09750-1
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