On priority in multi-issue bankruptcy problems with crossed claims

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 pr...

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Detalhes bibliográficos
Autores: Acosta Vega, Rick, Algaba Durán, Encarnación, Sánchez Soriano, Joaquín
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2025
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/168231
Acesso em linha:https://hdl.handle.net/11441/168231
https://doi.org/10.3390/math13020246
Access Level:Acceso aberto
Palavra-chave:Allocation problem
Multi-issue bankruptcy problems
Sequential priority rule
Random arrival rule
Descrição
Resumo: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.