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This paper presents an attempt to make rational active adversary passive using mechanism design. We propose a secure Generalized Vickrey Auction (GVA) scheme where the procedure executed by a bidder affects neither the prices nor the allocation of the bidder. Therefore, a bidder does not have an incentive to be an active adversary.
This paper provides a M+1-st price auction scheme using homomorphic encryption and the mix and match technique; it offers secrecy of bidding price and public verifiability. Our scheme has low round communication complexity: 1 round from each bidder to auctioneer in bidding and log p rounds from auctioneer to trusted authority in opening when prices are selected from p prefixed choices.