  Recently, Metaverse has attracted increasing attention from both industry and
academia, because of the significant potential to integrate real and digital
worlds ever more seamlessly. By combining advanced wireless communications,
edge computing and virtual reality (VR) technologies into Metaverse, a
multidimensional, intelligent and powerful wireless edge Metaverse is created
for future human society. In this paper, we design a privacy preserving
targeted advertising strategy for the wireless edge Metaverse. Specifically, a
Metaverse service provider (MSP) allocates bandwidth to the VR users so that
the users can access Metaverse from edge access points. To protect users'
privacy, the covert communication technique is used in the downlink. Then, the
MSP can offer high-quality access services to earn more profits. Motivated by
the concept of "covert", targeted advertising is used to promote the sale of
bandwidth and ensure that the advertising strategy cannot be detected by
competitors who may make counter-offer and by attackers who want to disrupt the
services. We derive the best advertising strategy in terms of budget input,
with the help of the Vidale-Wolfe model and Hamiltonian function. Furthermore,
we propose a novel metric named Meta-Immersion to represent the user's
experience feelings. The performance evaluation shows that the MSP can boost
its revenue with an optimal targeted advertising strategy, especially compared
with that without the advertising.
