Shapley–scarf housing markets: respecting improvement, integer programming, and kidney exchange

HIGHLIGHTS

• What: The authors show that for strict prefer­ ences the unique strong core allocation "respects improvement"-if an agent`s object becomes more desirable for some other agents then the agent`s allotment in the unique strong core allocation weakly improves. The authors provide examples to show how the results break down when there is a bound on the length of cycles. improvements is an important property for applications of the model such as exchange: it incentivizes each patient to bring the best possible set of donors to the market. The authors compare the game-theoretical solutions . . .
  

   

  

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