Historical claims problems
Theoretical Economics
2025-12-16 v1
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.
Cite
@article{arxiv.2512.13385,
title = {Historical claims problems},
author = {Juan C. Gonçalves-Dosantos and Ricardo Martínez and Juan D. Moreno-Ternero and Joaquín Sánchez-Soriano},
journal= {arXiv preprint arXiv:2512.13385},
year = {2025}
}