Cooperative data transmission game in wireless network

The paper considers the problem of data transmission in a simple wireless network. The process of data transmission is modelled with the help of a stochastic game. The paper proposes the system of rewards and costs to the network users to regulate the process of data transmission. The cooperative version of the game is considered. For this purpose the characteristic function is found. The Shapley value is proposed as a cooperative decision of the game. The condition of subgame consistency of the Shapley value and the method of construction of the cooperative payoff distribution procedure are taken. The cooperative payoff distribution procedure allows to redistribute payoffs to the players (network users) at each time slot to overcome the natural inconsistency of the Shapley value. The paper considers the numerical example which demonstrates all obtained theoretical results.