On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims

Rick Acosta-Vega (), Encarnación Algaba and Joaquín Sánchez-Soriano
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Rick Acosta-Vega: Facultad de Ingeniería, Universidad del Magdalena, Santa Marta 470004, Colombia
Encarnación Algaba: Department of Applied Mathematics II and IMUS, University of Seville, 41092 Seville, Spain
Joaquín Sánchez-Soriano: Center of Operations Research (CIO), Miguel Hernández University of Elche, 03202 Elche, Spain

Mathematics, 2025, vol. 13, issue 2, 1-18

Abstract: In this paper, we analyze the problem of how to adapt the concept of priority to situations where several perfectly divisible resources have to be allocated among a certain set of agents that have exactly one claim that is used for all resources. In particular, we introduce constrained sequential priority rules and two constrained random arrival rules which extend the classical sequential priority rules and the random arrival rule to these situations. We also provide an axiomatic analysis of these rules. Finally, we present a numerical example to compare the constrained random arrival rule to other solutions in this context.

Keywords: allocation problem; multi-issue bankruptcy problems; sequential priority rule; random arrival rule (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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