Design of water quality policies based on proportionality in multi-issue problems with crossed claims

Water pollutants can be classified into three categories, each of which includes several classifications of substances. In this paper, we present a methodology based on bankruptcy models to determine the emission limits of polluting substances belonging to more than one category. We model the proble...

Descripción completa

Detalles Bibliográficos
Autores: Acosta Vega, Rick Keevin, Algaba Durán, Encarnación, Sánchez Soriano, Joaquín
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/155501
Acceso en línea:https://hdl.handle.net/11441/155501
https://doi.org/10.1016/j.ejor.2023.05.029
Access Level:acceso abierto
Palabra clave:Game theory
Bankruptcy problems
Multi-issue allocation problems
Proportional rule
Water pollution control
Descripción
Sumario:Water pollutants can be classified into three categories, each of which includes several classifications of substances. In this paper, we present a methodology based on bankruptcy models to determine the emission limits of polluting substances belonging to more than one category. We model the problem as a multi-issue allocation problem with crossed claims and introduce the constrained proportional awards rule to obtain the emission limits. This rule is based on the concept of proportionality and extends the proportional rule for bankruptcy problems. We also provide an axiomatic characterization of this rule. Moreover, this allocation rule is illustrated by means of a numerical example based on real-world data. Finally, managerial and policy implications of this approach for water pollution control are given.