Kidney exchanges and Shapley values

Here's a paper aimed at thinking about kidney exchange cooperation among European national kidney exchange programs. The Shapley value here is applied to countries (not to patient-donor pairs as in some U.S. proposals), and the aim is to measure fairness of allocations with reference to Shapley values.


COMPENSATION SCHEME WITH SHAPLEY VALUE FOR MULTI-COUNTRY KIDNEY EXCHANGE PROGRAMMES
Peter Biro, Xenia Klimentova Joao Pedro Pedroso Marton Gyetvai  William Pettersson Ana Viana

ABSTRACT: Following up the proposal of (Klimentova, Viana, Pedroso and Santos 2019), we  consider the usage of a compensation scheme for multi-country kidney exchange programmes to balance out the benefits of cooperation.  The novelty of our study is to base the target solution
on the Shapley value of the corresponding TU-game, rather than on marginal contributions. We compare the long term performances of the above two fairness concepts by conducting simulations on realistically generated kidney exchange pools.