Wireless power transfer (WPT) technology enables a cost-effective and sustainable energy supply in wireless networks. However, the broadcast nature of wireless signals makes them non-excludable public goods, which leads to potential free-riders among energy receivers. In this study, we formulate the wireless power provision problem as a public goods provision problem, aiming to maximize the social welfare of a system of an energy transmitter (ET) and all the energy users (EUs), while considering their heterogeneous valuations, private information, and self-interested behaviors. We propose a two-phase all-or-none scheme involving a low-complexity Power And Taxation (PAT) mechanism, which ensures voluntary participation, truthfulness, budget balance, and social optimality at every Nash equilibrium (NE). We propose a distributed PAT (D-PAT) algorithm to reach an NE, and prove its convergence by connecting the structure of NEs and that of the optimal solution to a related optimization problem. We further extend the analysis to a multi-channel system, which brings a further challenge of non-strictly concave agents’ payoffs. We propose a Multi-Channel PAT (M-PAT) mechanism and a distributed M-PAT (D-MPAT) algorithm to address the challenge. Simulation results show that, our design is most beneficial when there are more EUs and more homogeneous channel gains.

中文翻译：

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具有信息不对称性的无线电力传输：公共物品视角

无线电力传输 (WPT) 技术可在无线网络中实现经济高效且可持续的能源供应。然而，无线信号的广播性质使它们成为非排他性的公共产品，这导致了能源接收者之间潜在的搭便车者。在本研究中，我们将无线电能供应问题表述为公共物品供应问题，旨在最大化能源发射机 (ET) 和所有能源用户 (EU) 系统的社会福利，同时考虑它们的异质估值、私人信息和自利行为。我们提出了一个两阶段的全有或全无计划，涉及低复杂度的权力和税收 (PAT) 机制，该机制确保在每个纳什均衡 (NE) 下的自愿参与、真实性、预算平衡和社会最优性。我们提出了一种分布式 PAT (D-PAT) 算法来到达一个 NE，并通过将 NE 的结构和相关优化问题的最优解的结构连接起来证明其收敛性。我们进一步将分析扩展到多渠道系统，这带来了非严格凹代理的收益的进一步挑战。我们提出了一种多通道 PAT (M-PAT) 机制和一种分布式 M-PAT (D-MPAT) 算法来解决这一挑战。仿真结果表明，当有更多的 EU 和更均匀的信道增益时，我们的设计最有利。我们提出了一种多通道 PAT (M-PAT) 机制和一种分布式 M-PAT (D-MPAT) 算法来解决这一挑战。仿真结果表明，当有更多的 EU 和更均匀的信道增益时，我们的设计最有利。我们提出了一种多通道 PAT (M-PAT) 机制和一种分布式 M-PAT (D-MPAT) 算法来解决这一挑战。仿真结果表明，当有更多的 EU 和更均匀的信道增益时，我们的设计最有利。