The Classification Of Dynamic Games

1546 Words Sep 25th, 2015 7 Pages
Classification of dynamic games according to the level of information available.
Information plays a crucial role in Game theory. The high level of importance is due to the fact that it provides us with an outline for different possible strategies that the players might undertake. 4.1. Dynamic Games with Complete Information
Complete information implies that each agent knows both the strategies and returns of the other agents participating in the game but they may be not be aware of the particular actions of the other players in the game. Complete and Perfect Information.
A game in which each player is aware of the actions of all other players that have already taken place is called a game with complete and perfect information. They know the strategies and the returns of the other players. In those games, the agents are aware of the complete history of the game. Usually in those games there is one leader and then the rest of the players are followers. Two-player (administrator, attacker) general-sum and zero sum games
Let us consider a game where there are two players, with payoffs represented by the following matrix:
B^1=[■(β_11^1&β_12^1@β_21^1&β_22^1 )] and B^2=[■(β_11^1&β_12^1@β_21^1&β_22^1 )]
If the player 1 has an action set of A1 = {α11, α 21 } and the player 2 has an action set of A2 = {α12, α 22 } , the payoff to the first player is matrix B^1 and to the second player is B^2 . When we have a zero sum game the payoff for both players is always zero:
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