Innovative Approaches to Water Quality Management: Three rules in Multi-Issue with Crossed Claims.

R. ACOSTA, E. Algaba, J. Sánchez-Soriano

This paper examines innovative approaches to water quality management through three allocation rules in multi-issue cross-claim problems. Building on advancements in multi-issue bankruptcy models, it addresses the distribution of divisible resources (e.g., pollutant limits) among agents with a single common claim across issues. The first rule applies the constrained equal allocation principle to ensure fairness. The second employs the constrained proportional rule to derive emission limits relevant to environmental policies. The third adapts priority-based allocation using constrained sequential priority and random arrival rules. A numerical example illustrates their applicability in sustainable water management, offering insights for policymakers.

Keywords: multi-issue bankruptcy problems, Constrained equal allocation, Proportional allocation rule, Sequential priority rules

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