The optimal game model of energy consumption for nodes cooperation in WSN

It is known that the energy of wireless sensor network nodes is very limited. In order to solve this problem, considering all the nodes in the cluster, we propose an optimal model of energy consumption for nodes cooperation based on game theory. The model establishes the payoff function of nodes’ residual energy with the main energy consumption factor of the nodes, energy consumption of communication, as the argument. The nodes’ coalitions are constructed through the combination of exhaustion and the sub-regions division. The Nash Equilibrium of cooperative game is solved by using the nodes income distribution method based on Shapley value. With the proposed method, the maximum residual energy of the nodes in the cluster is obtained. The experimental results show that, compared with the game model of non-cooperative, the optimal game model of energy consumption for nodes cooperation has obvious advantages in energy-saving efficiency. As the number of nodes increases, the energy-saving efficiency increases from 12.870 to 38.796%. This paper also verifies that the optimal game model of energy consumption for nodes cooperation has better stability.