Refugee resettlement: An impossibility result

Many countries hosting refugees has no particular method of settling them. In most of these countries there are cities with a large concentration of refugees. We propose two Pareto efficient and strategyproof mechanisms to resettle refugees among cities. These mechanisms always yield results where the number of refugees does not increase in over concentrated cities. Further, we compare the success of these mechanisms on reducing the concentration of refugees on particular cities. None of these mechanisms always performs better than the other one, their success depends on the problem we consider. This observation is persistent even under a restrictive assumption. Furthermore, we show that there is no Pareto efficient and strategyproof mechanism that always performs weakly better than both of the mechanisms we offer. For a mechanism, minimizing the concentration of refugees on some cities is not compatible with being Pareto efficient and strate-gyproof.