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

Author:

Estañ Teresa,Llorca Natividad,Martínez Ricardo,Sánchez-Soriano JoaquínORCID

Abstract

AbstractIn 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.

Funder

Ministerio de Ciencia, Innovación y Universidades

Agencia Estatal de Investigación

European Regional Development Fund

Ministerio de Ciencia e Innovación

Junta de Andalucía

Publisher

Springer Science and Business Media LLC

Subject

Management of Technology and Innovation,Strategy and Management,General Social Sciences,Arts and Humanities (miscellaneous),General Decision Sciences

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