Mobile Edge Computing is a new computing paradigm that offers cloud computation capabilities at the edge of the mobile network. Due to the proximity to Mobile Users (MUs), the edge cloud can be accessed with low latency by resource-limited mobile devices with the aim of extending their capabilities through computation offloading. Despite its unique features, the efficiency of offloading is highly influenced by the purchasing power of MUs as well as the competition arisen to access both limited communication and computation resources. However, since the MUs’ demands for these resources change dynamically, the pricing approaches should be capable of adapting in real-world scenarios. To address the aforementioned challenges, we propose a game-based distributed scheme to jointly and dynamically allocate and price resources required for proper offloading in a two-tier NOMA-based mobile system. To this end, we consider the incentives of both the edge provider and MUs as well as conflicts arising from their interactions. Under the proposed scheme, MUs should pay not only based on the given resources but also based on their transmission power level as a punishment for their produced interference. We formulate the interactions among the monopolist edge provider and MUs using the Stackelberg game. Further, the power allocation in NOMA and the competition of MUs over computation resources are modeled using game theory and shown admitting the potential and the weakly coupled constraint game, respectively. Furthermore, we prove the existence and uniqueness of the equilibrium of both corresponding games and calculate it for both the edge provider and MUs. Simulation results demonstrate the efficiency of the proposed approach in terms of the utility of MUs and the edge provider, average allocated communication and computation resources, optimal pricing, and the number of rejected MUs under different purchasing power.

移动边缘计算是一种新的计算范式，可在移动网络边缘提供云计算能力。由于靠近移动用户 (MU)，资源有限的移动设备可以以低延迟访问边缘云，目的是通过计算卸载扩展其功能。尽管具有独特的功能，卸载效率在很大程度上受到 MU 的购买力以及访问有限通信和计算资源的竞争的影响。然而，由于 MU 对这些资源的需求是动态变化的，定价方法应该能够适应现实世界的场景。为了应对上述挑战，我们提出了一种基于游戏的分布式方案，以在基于 NOMA 的两层移动系统中联合动态分配和定价适当卸载所需的资源。为此，我们考虑了边缘提供者和 MU 的激励以及它们之间的相互作用引起的冲突。在提议的方案下，MU 不仅应该根据给定的资源付费，还应该根据他们的传输功率水平付费，作为对他们产生的干扰的惩罚。我们使用 Stackelberg 游戏来制定垄断边缘提供商和 MU 之间的交互。此外，NOMA 中的功率分配和 MU 对计算资源的竞争使用博弈论建模，并显示分别承认潜在和弱耦合约束博弈。此外，我们证明了两个相应博弈的均衡的存在性和唯一性，并为边缘提供者和 MU 计算了它。仿真结果证明了所提出的方法在 MU 和边缘提供商的效用、平均分配的通信和计算资源、最优定价以及不同购买力下被拒绝的 MU 数量方面的效率。