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arXiv · 2512.13385

Historical claims problems

Juan C. Gonçalves-Dosantos·Ricardo Martínez·Juan D. Moreno-Ternero·Joaquín Sánchez-Soriano
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Abstract

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.

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Juan C. Gonçalves-Dosantos, Ricardo Martínez, Juan D. Moreno-Ternero, Joaquín Sánchez-Soriano. 2025-12-15. Historical claims problems. https://arxiv.org/abs/2512.13385

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