For international kidney exchange with country-specific limits, the paper gives a complete polynomial versus NP-complete dichotomy for maximizing transplants and an individually rational, incentive-compatible mechanism with a tight approximation ratio.
BuildingKidneyExchangeProgrammesinEurope–AnOverview of Exchange Practice and Activities.Transplantation103 (2019), 1514–1522
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Complexity and Manipulation of International Kidney Exchange Programmes with Country-Specific Parameters
For international kidney exchange with country-specific limits, the paper gives a complete polynomial versus NP-complete dichotomy for maximizing transplants and an individually rational, incentive-compatible mechanism with a tight approximation ratio.