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find and use parking spots especially designated for them and get reduced fees depending on the number of car passengers. These parking spots for HOVs are located in parking lots guarded by an automatic barrier.

The pilot is composed of:

• a passenger Android application to be run by the smartphone of each car passenger with the functionalities described in Section 3.5;

• a verifier application that runs in the automatic barrier of the parking lot.

We take the telephone number as the passenger identifier and we set the pro-tocol parameters to η = 1 and n = 5, as we want to accredit groups ranging from 2 to 5 passengers in each car. The communication between passenger ap-plications, needed to compute IBDT signatures, is performed using NFC while the communication between the leading passenger application and the verifier application running in the barrier is performed using Bluetooth only.

Figure 3.9 shows screenshots taken from the passenger application. In the left-hand side screenshot, the application shows to the passenger where free HOV parking spots can be found within a nearby parking lot. In the central screenshot, the leading passenger application chooses a slot and starts the group size accreditation protocol at the parking lot barrier. In the right-hand side screenshot, after combining partial signatures of two passengers (Alberto and Test), a group size of two passengers is accredited to the barrier verifier.

The pilot includes access control to the parking lot and the accreditation mechanism. However, while it calculates the parking fee according to the num-ber of passengers, at the moment no specific payment system is embedded in the pilot. Payment will be incorporated in case of commercial deployment.

3.10 Summary

We have presented a mechanism to accredit the size of a group (for example, in order to obtain a group discount) that is compatible with the anonymity of its members and with dynamic group formation. To the best of our knowledge, this is the first mechanism that allows cryptographically proving the number of members of a group in an anonymous way and without the need of dedi-cated hardware. Our protocol suite is built upon a new cryptographic primitive called IBDT signature scheme, a novel key generation and management solu-tion, short-range communication technologies and, in case payment is needed,

Figure 3.5: HOV pilot passenger application. Left, locating free HOV spaces.

Center, booking a space and starting group size accreditation. Right, completing accreditation of a group of two passengers.

anonymous payment mechanisms. The reported complexity analysis and sim-ulations, as well as the pilot experiment we have deployed in a real scenario, show that our system is usable in practice.

Chapter 4

Loyalty Programs

4.1 Introduction

Any vendor is extremely interested in establishing lasting relationships with consumers. For some companies (like public utilities or banks) long relation-ships are the rule rather than the exception, whereas for other companies (like retailers) consumer loyalty is much harder to obtain without specific incentives.

Loyalty programs are instruments whereby vendors try to provide such incen-tives. In a loyalty program, the vendor pursues two main goals: i) to encourage the consumer to make more purchases in the future (returning customer); ii) to allow the vendor to profile the consumer in view of conducting market re-search and segmentation (profiled customer). In order to lure consumers into a loyalty program, the vendor offers them rewards, typically loyalty points that consumers can later exchange for discounts, gifts or other benefits offered by the vendor. Normally, enrollment to loyalty programs involves some kind of registration procedure, in which customers fill out a form with their personal information and are granted a loyalty card, be it a physical card (magnetic stripe or smartcard) or a smartphone application.

Market analysis and customer segmentation are carried out by building pro-files of individual customers based on their personal information, which cus-tomers supply to the vendor during enrollment to the loyalty program, and their purchase records, collected every time customers present their loyalty cards. The profiles thus assembled are used in marketing actions, such as market studies and targeted advertising.

Although loyalty programs have become widespread, they are experiencing a loss of active participants and they have been criticized by business experts and consumer associations. Criticism is mainly due to privacy issues, because it is not always clear whether the benefits vendors offer in their loyalty programs are worth the loss of consumer privacy caused by profiling [78, 91, 1, 45].

Loyalty programs can offer clear advantages to both vendors and consumers, like returning customers and special discounts, respectively. However, privacy concerns regarding buyer profiling affect more and more the acceptance of such programs, as the public awareness on the dangers of personal information dis-closure is increasing.

4.1.1 Contributions

In this Chapter we propose a protocol for privacy-aware loyalty programs that allows vendors and consumers to enjoy the benefits of loyalty, while preserving the anonymity of consumers and empowering them to decide how accurately they reveal their profile to the vendor. In order to encourage customers not just to return but also to disclose more of their profile, the vendor must offer additional rewards to consumers. Thus, vendors pay consumers for their private information. On the other hand, consumers become aware of how much their personal data are worth to vendors, and they can decide to what extent they are ready to reveal such data in exchange for what benefits.

To empower consumers as described above, we provide them with a mecha-nism that allows them to profile themselves, generalize their profiles and submit these generalized profiles to the vendor in an anonymous way. There are some technical challenges to be overcome:

• The proposed mechanism should prevent vendors from linking the gener-alized profiles to the identity of buyers, to particular transactions or to particular loyalty points submitted for redemption.

• To prevent straightforward profiling by the vendor, payment should be anonymous. In online stores, to completely achieve anonymity, the buyers should use some kind of anonymous payment system, such as Bitcoin [72], Zerocoin [71], some other form of electronic cash [32], or simply scratch cards with prepaid credit anonymously bought, say, at a newsstand. In physical stores, it would be enough to pay with cash.

• Consumers should not be able to leverage their anonymity to reveal forged profiles to the vendor, which would earn them rewards without actually