Historical claims problems

Fuente: arXiv
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Main Authors: Gonçalves-Dosantos, Juan C., Martínez, Ricardo, Moreno-Ternero, Juan D., Sánchez-Soriano, Joaquín
Format: Preprint
Published: 2025
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author Gonçalves-Dosantos, Juan C.
Martínez, Ricardo
Moreno-Ternero, Juan D.
Sánchez-Soriano, Joaquín
author_facet Gonçalves-Dosantos, Juan C.
Martínez, Ricardo
Moreno-Ternero, Juan D.
Sánchez-Soriano, Joaquín
contents We explore the resolution of claims problems with history. At a given period of time, a group of agents holds claims over an insufficient endowment, as they did in previous periods. The solution to the present-period problem might be influenced by the solutions at previous-periods problems (history). We introduce a natural historical operator, which extends standard rules (solving one-shot claims problems) to construct rules that solve claims problems with history. We study the preservation of properties by this operator and also obtain a characterization result for it.
format Preprint
id arxiv_https___arxiv_org_abs_2512_13385
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Historical claims problems
Gonçalves-Dosantos, Juan C.
Martínez, Ricardo
Moreno-Ternero, Juan D.
Sánchez-Soriano, Joaquín
Theoretical Economics
We explore the resolution of claims problems with history. At a given period of time, a group of agents holds claims over an insufficient endowment, as they did in previous periods. The solution to the present-period problem might be influenced by the solutions at previous-periods problems (history). We introduce a natural historical operator, which extends standard rules (solving one-shot claims problems) to construct rules that solve claims problems with history. We study the preservation of properties by this operator and also obtain a characterization result for it.
title Historical claims problems
topic Theoretical Economics
url https://arxiv.org/abs/2512.13385