Historical claims problems

Juan C. Gon\c{c}alves-Dosantos, Ricardo Mart\'inez, Juan D. Moreno-Ternero and Joaqu\'in S\'anchez-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.

Date: 2025-12
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