%0 Report %9 Working Paper %A De Donder, Philippe %A Peluso, Eugenio %B TSE Working Paper %D 2014 %F publications:16535 %K Paradox of redistribution %K A program for the poor is a poor program %K majority voting %K social housing in France %T Politically Sustainable Probabilistic Minority Targeting %U https://publications.ut-capitole.fr/id/eprint/16535/ %V 14-509 %X We show that a transfer targeting a minority of the population is sustained by majority voting, however small the minority targeted, when the probability to receive the transfer is decreasing and concave in income. We apply our framework to the French social housing program and obtain that empirically observed departures from these assumptions are small enough that a majority of French voters should support a positive size of this program. We also provide a su¢ cient condition on this probability function under which more targeting results in a lower equilibrium size of the transfer system.