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We denote the model as G, which includes 5 elements.
First is N, which denotes the players in the game. Players are the decision-makers in the game and in this model they are divided into attackers and defenders
Second is theta, which denotes the types of players. Similar to the set of players, it consists of 2 subsets, namely attacker type and defender type
The third one is S, which is strategy space. Sa is the strategy space of the attackers, and the element Sau in the Sa set contains m actions, namely a1 to ah. The situation for defenders is similar.
And P denotes the set of prior belief of player types. The prior belief of player types refers to the estimation of the probabilities of other players¡¯ type when a player has known its own type. Both the attacker and defender subsets need to satisfy the following equation condition, that is, the sum of all elements in each subset is 1.
The last element is U, which means utility. It is the payoff of the players during the game and is also the optimization objective of the players. Ua represents the utility function of the attackers, while Ud represents the utility function of the defenders.
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IEEE/ICACT20250175 Slide.07
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