Rate secrecy of networks with game theory approach

In this paper we introduce a three-way discrete memoryless Broadcast channel (T-DMBC) between a transmitter (Alice), a receiver (Bob) and an intruder (Eve). We represent a protocol for secret key establishment (SKE) between Alice and Bob so that the Eve can also participate in the second round of the secret key establishment. We assume that the intruder cannot act as an initiator (under the conditions that FCC acts as a dictator of the game). Thus, any transmission by intruder as his activity in the first round must not make the protocol vulnerable to the DOS attack. We use Nash Equilibrium (NE) of the game between the receiver and the intruder to prove that there is no guarantee for achievable secure rate stabilization toward the main receiver with using passive intruder protocols for DMC or 2DMBC. In order to achievable secure rate stabilization, we modify passive model for secrecy of 2DMBC with noise-forwarding strategy and post-computations in a game model.