Abstract Ad exchanges are kind of the most popular online advertising marketplaces for trading ad spaces over the Internet. Ad exchanges run auctions to sell diverse ad spaces on the publishers’ web-pages to advertisers, who want to display ads on ad spaces. However, the parties in an ad auction cannot verify whether the auction is carried out correctly or not. Furthermore, the advertisers are usually unwilling to reveal their sensitive bids and identities. In this paper, we jointly consider the auction verifiability and the advertisers’ privacy preservation, and thus propose ERA, which is an E fficient, p R ivacy-preserving, and verifi A ble online auction mechanism for ad exchanges. ERA exploits an order preserving encryption scheme to guarantee privacy preservation, and achieves verifiability by constructing a novel protocol of privacy preserving integer comparison, which is built on the Paillier homomorphic encryption scheme. We extensively evaluate the performance of ERA, and our evaluation results show that ERA satisfies several desirable properties with low computation, communication, and storage overheads, so ERA can be easily deployed in today's ad exchanges.
: A third party is introduced to cooperate with the auctioneer to run the auctions. The scheme proposed by Naor in @cite_19 constructed a boolean circuit, which calculates the auction outcome for any given set of bids. Based on RSA, Juels and Szydlo proposed a privacy preserving auction mechanism with a reasonable computational complexity @cite_16 . Specific to online applications, a number of auction mechanisms @cite_30 @cite_41 @cite_2 get a good tradeoff between performance and security. Unfortunately, these works only consider bid protection, but ignore the problem of verification. ERA belongs to this category, and moves forwards to guarantee verifiability and privacy preservation at the same time.
@cite_30 @cite_41 @cite_19 @cite_2 @cite_16
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The problem of dynamic spectrum redistribution has been extensively studied in recent years. Auction is believed to be one of the most effective tools to solve this problem. A great number of strategy-proof auction mechanisms have been proposed to improve spectrum allocation efficiency by stimulating bidders to truthfully reveal their valuations of spectrum, which are the private information of bidders. However, none of these approaches protects bidders' privacy. In this paper, we present SPRING, which is the first Strategy-proof and PRivacy preservING spectrum auction mechanism. We not only rigorously prove the properties of SPRING, but also extensively evaluate its performance. Our evaluation results show that SPRING achieves good spectrum redistribution efficiency with low overhead. Many spectrum auction mechanisms have been proposed for spectrum allocation problem, and unfortunately, few of them protect the bid privacy of bidders and achieve good social efficiency. In this paper, we propose PPS, a Privacy Preserving Strategyproof spectrum auction framework. We design two schemes based on PPS separately for 1) the single-unit auction model (SUA), where only single channel will be sold in the spectrum market; and 2) the multi-unit auction model (MUA), where the primary user subleases multi-unit channels to the secondary users and each of the secondary users wants to access multi-unit channels either. Since the social efficiency maximization problem is NP-hard in both auction models, we present allocation mechanisms with approximation factors of @math and @math separately for SUA and MUA, and further judiciously design strategyproof auction mechanisms with privacy preserving based on them. Our extensive evaluations show that our mechanisms achieve good social efficiency and with low computation and communication overhead. Auctions are among the best-known market-based tools to solve the problem of dynamic spectrum redistribution. In recent years, a good number of strategy-proof auction mechanisms have been proposed to improve spectrum utilization and to prevent market manipulation. However, the issue of privacy preservation in spectrum auctions remains open. On the one hand, truthful bidding reveals bidders' private valuations of the spectrum. On the other hand, coverage interference areas of the bidders may be revealed to determine conflicts. In this paper, we present PISA, which is a PrIvacy preserving and Strategy-proof Auction mechanism for spectrum allocation. PISA provides protection for both bid privacy and coverage interference area privacy leveraging a privacy-preserving integer comparison protocol, which is well applicable in other contexts. We not only theoretically prove the privacy-preserving properties of PISA, but also extensively evaluate its performance. Evaluation results show that PISA achieves good spectrum allocation efficiency with light computation and communication overheads. Naor, Pinkas, and Sumner introduced and implemented a sealed-bid, two-server auction system that is perhaps the most efficient and practical to date. Based on a cryptographic primitive known as oblivious transfer, their system aims to ensure privacy and correctness provided that at least one auction server behaves honestly. As observed in [19], however, the NPS system suffers from a security flaw in which one of the two servers can cheat so as to modify bids almost arbitrarily and without detection. We propose a means of repairing this flaw while preserving the attractive practical elements of the NPS protocol, including minimal round complexity for servers and minimal computation by players providing private inputs. Our proposal requires a slightly greater amount of computation and communication on the part of the two auction servers, but actually involves much less computation on the part of bidders. This latter feature makes our proposal particularly attractive for use with low-power devices. While the original proposal of NPS involved several dozen exponentiations for a typical auction, ours by contrast involves only several dozen modular multiplications. The key idea in our proposal is a form of oblivious transfer that we refer to as verifiable proxy oblimous transfer (VPOT).