Heterogeneous Networks Community and its bandwidth allocation via public goods game

This paper presents a conception of Heterogenous Networks Community (HNC) based network cooperation and investigates its bandwidth allocation strategy. The transmitting mass information in HNC is formulated as a public goods game. In HNC, service providers (SPs) offer various services to their users, each SP voluntarily contributes part of its own bandwidth to establish a public network which is used to transmit mass information if their users demand for this kinds of service. Private provision of public goods game is applied to analyze the issue of forming the public network. First, we show that the game with the proposed payoff function is a super-modular game where the existence of the Nash equilibrium is guaranteed. Then, an iterative algorithm based on the best response rule is designed to achieve the Nash equilibrium of the proposed game, the condition of the convergence of the algorithm is given, simultaneously, the uniqueness of the Nash equilibrium is proven. Simulation results show that the designed payoff function not only maximizes user´s payoff but also overcomes the free-ride problem. Moreover, the convergence speed of the iterative algorithm is very fast.