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In traditional public blockchain networks, transaction fees are onlyallocated to full nodes (i.e., miners). However, the lack of relay rewardsreduces the willingness of light nodes to relay transactions, especially in theenergy-constrained complex wireless network. This paper proposes a novel dualauction mechanism to allocate transaction fees for relay and validationbehaviors in the wireless blockchain network. The dual auction mechanismconsists of two sub-auction stages: the relay sub-auction and the validationsub-auction. In the relay sub-auction, relay nodes choose transactions basedrewards to forward. Besides, relay nodes adjust the relaying probabilitythrough a no-regret algorithm to improve efficiency. In the validationsub-auction, full nodes select transactions using Vickrey-Clarke-Grove (VCG)mechanism to construct the block. We prove that the designed dual auctionmechanism is Incentive Compatibility (IC), Individual Rationality (IR), andComputational Efficiency (CE). We also derive the upper bound of the socialwelfare difference between the social optimal auction and our proposed one.Extensive simulation results demonstrate that the proposed dual auctionmechanism decreases energy and bandwidth resource consumption and effectivelyimproves social welfare without sacrificing the throughput and the security ofthe wireless blockchain network.

Dual Auction Mechanism for Transaction Relay and Validation in Complex Wireless Blockchain Network