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We show that Ergin & Sönmez's (2006) results which show that for schools it is a dominant strategy to truthfully rank the students under the Boston mechanism, and that the Nash equilibrium outcomes in undominated strategies of the induced game are stable, rely crucially on two assumptions....
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We introduce a new class of matching mechanisms - quantile stable mechanisms - that generate stable matchings that can … the existence of such mechanisms and that all such mechanisms are distinct. We also analyze the manipulability of these … mechanisms by market participants. …
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