A Novel Attack-and-Defense Signaling Game for Optimal Deceptive Defense Strategy Choice

Algorithm 1: Optimal strategy choice algorithm description based on a two-way signaling game model.

Input: Model, Signal direction parameter w

Output: Optimal strategy for the defender

BEGIN

if (w =1)//forward-direction signalling game

{Initialize ();

 //Initialize the type of the defender

 Initialize (,);

 //Initialize the signal of the defender and the belief of the defender regarding the attacker

}

If (w =0)//reverse-direction signalling game

{Initialize ();

 //Initialize the type of the attacker

 Initialize (

 );

 //Initialize the signal of the attacker and the belief of the attacker regarding the defender

}

Initialize (,,);

//Initialize the strategies for both players

while (&&&&)//Calculate the utility

{;

;

}

//Obtain the refined Bayesian Equilibrium

;

;

//Calculate the optimal strategy for attack and defence

Bayesian ();

//Calculate the posterior probability and apply the Bayesian rule

for the defender

Create ; //Construct the refined Bayesian equilibrium

Sort ();//descending

Output ();//output the optimal strategy for the defender

End

Algorithm 1: Optimal strategy choice algorithm description based on a two-way signaling game model.