Computing balanced solutions for large international kidney exchange schemes

Author:

Benedek Márton,Biró Péter,Paulusma Daniel,Ye Xin

Abstract

AbstractTo overcome incompatibility issues, kidney patients may swap their donors. In international kidney exchange programmes (IKEPs), countries merge their national patient–donor pools. We consider a recently introduced credit system. In each round, countries are given an initial “fair” allocation of the total number of kidney transplants. This allocation is adjusted by a credit function yielding a target allocation. The goal is to find a solution that approaches the target allocation as closely as possible, to ensure long-term stability of the international pool. As solutions, we use maximum matchings that lexicographically minimize the country deviations from the target allocation. We perform, for the first time, a computational study for a large number of countries. For the initial allocations we use two easy-to-compute solution concepts, the benefit value and the contribution value, and four classical but hard-to-compute concepts, the Shapley value, nucleolus, Banzhaf value and tau value. By using state-of-the-art software we show that the latter four concepts are now within reach for IKEPs of up to fifteen countries. Our experiments show that using lexicographically minimal maximum matchings instead of ones that only minimize the largest deviation from the target allocation (as previously done) may make an IKEP up to 54% more balanced.

Funder

National Research, Development and Innovation Office

Magyar Tudományos Akadémia

Corvinus University of Budapest

Publisher

Springer Science and Business Media LLC

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Designing a kidney exchange program in Germany: simulations and recommendations;Central European Journal of Operations Research;2024-08-29

2. Computing balanced solutions for large international kidney exchange schemes;Autonomous Agents and Multi-Agent Systems;2024-05-16

3. Rejection-proof mechanisms for multi-agent kidney exchange;Games and Economic Behavior;2024-01

4. Proportionally Fair Matching with Multiple Groups;Graph-Theoretic Concepts in Computer Science;2023

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