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Metaverse can obscure the boundary between the physical and virtual worlds.Specifically, for the Metaverse in vehicular networks, i.e., the vehicularMetaverse, vehicles are no longer isolated physical spaces but interfaces thatextend the virtual worlds to the physical world. Accessing the Metaverse viaautonomous vehicles (AVs), drivers and passengers can immerse in and interactwith 3D virtual objects overlaying views of streets on head-up displays (HUD)via augmented reality (AR). The seamless, immersive, and interactive experiencerather relies on real-time multi-dimensional data synchronization betweenphysical entities, i.e., AVs, and virtual entities, i.e., Metaverse billboardproviders (MBPs). However, mechanisms to allocate and match synchronizing AVand MBP pairs to roadside units (RSUs) in a synchronization service market,which consists of the physical and virtual submarkets, are vulnerable toadverse selection. In this paper, we propose an enhanced second-scoreauction-based mechanism, named EPViSA, to allocate physical and virtualentities in the synchronization service market of the vehicular Metaverse. TheEPViSA mechanism can determine synchronizing AV and MBP pairs simultaneouslywhile protecting participants from adverse selection and thus achieving hightotal social welfare. We propose a synchronization scoring rule to eliminatethe external effects from the virtual submarkets. Then, a price scaling factoris introduced to enhance the allocation of synchronizing virtual entities inthe virtual submarkets. Finally, rigorous analysis and extensive experimentalresults demonstrate that EPViSA can achieve at least 96\% of the social welfarecompared to the omniscient benchmark while ensuring strategy-proof and adverseselection free through a simulation testbed.

EPViSA: Efficient Auction Design for Real-time Physical-Virtual Synchronization in the Metaverse