MUNICATIONS,,,AUGUST20071VCG-KellyMechanismsforAllocationofDivisibleGoods:AdaptingVCGMechanismstoOne-DimensionalSignalsSichaoYangandBruceHajekAbstract—TheVCG-Kellymechanismisproposed,municationef?cient,one-dimensionalsignalingideaofKellywiththeVCGmechanism,providingef?cientallocationforstrategicbuyersatNashequi--—,weaddressthemechanismdesignproblem,whichspeci?estherulesforallocationandpayment,,withoutknowingthevaluationfunctionsofthebuyers,ethatisef?cient,’[1,2]showedthat,underthefundamentalassumptionthatallthebuyersareprice-takers,[3]showedthat,forstrategicbuyersusingtheKellymechanismoneachofthelinks,thesumofvaluationsattheequilibriumpointisnolessthan75%oftheef?,-Clark-Groves(VCG)mechanism[4–6]issuchthattruereportingofvaluationfunctionsisadominantstrategyequilibrium,butinthecontextofdivisiblegood
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