Presentation Information
[4L5-GS-1b-02]Systematization, Axiomatic Comparison, and Analysis of Allocation Rules for Two-Sided Matching Problems in Healthcare Rationing.
〇Ryo Takigawa1, Zhaohong Sun1, Makoto Yokoo1 (1. Kyushu University)
Keywords:
resource rationing,algorithm,healthcare,multi-agent
In this paper, we study a two-sided matching problem that arises in the allocation of scarce healthcare resources, such as vaccine distribution. In healthcare rationing, reserve systems are used to reflect multiple priority orders, and a variety of allocation rules have been proposed within theoretical frameworks for analyzing such systems. However, although several allocation rules have been introduced, the relationships among the axioms they satisfy have not been sufficiently organized.
To address this gap, we focus on these allocation rules and systematically summarize and compare their objectives and properties. In addition, for properties whose validity has not been clearly established in the existing literature, we provide rigorous definitions and examine whether each rule satisfies them. We present proofs when a property holds and construct counterexamples when it does not, thereby clarifying the limitations and scope of applicability of each rule. This allows us to precisely characterize differences in properties across allocation rules and to make meaningful comparisons among them.
Through this organization and verification, we aim to clarify the trade-offs involved in mechanism design for healthcare resource allocation and to provide a foundational basis for future institutional design and theoretical research.
To address this gap, we focus on these allocation rules and systematically summarize and compare their objectives and properties. In addition, for properties whose validity has not been clearly established in the existing literature, we provide rigorous definitions and examine whether each rule satisfies them. We present proofs when a property holds and construct counterexamples when it does not, thereby clarifying the limitations and scope of applicability of each rule. This allows us to precisely characterize differences in properties across allocation rules and to make meaningful comparisons among them.
Through this organization and verification, we aim to clarify the trade-offs involved in mechanism design for healthcare resource allocation and to provide a foundational basis for future institutional design and theoretical research.