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.
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.
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