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Computing balanced solutions for large international kidney exchange schemes

Benedek, Márton, Biró, Péter, Paulusma, Daniel and Ye, Xin (2024) Computing balanced solutions for large international kidney exchange schemes. Autonomous Agents and Multi-Agent Systems, 38 (1). DOI 10.1007/s10458-024-09645-w

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Official URL: https://doi.org/10.1007/s10458-024-09645-w


Abstract

To 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.

Item Type:Article
Uncontrolled Keywords:Kidney exchange · Matching game · Solution concept · Credit system · Simulation
Divisions:Institute of Operations and Decision Sciences
Subjects:Decision making
Computer science
DOI:10.1007/s10458-024-09645-w
ID Code:10198
Deposited By: MTMT SWORD
Deposited On:22 Jul 2024 08:24
Last Modified:22 Jul 2024 08:24

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