Practice Problems on Dynamic Programming in Game Theory

Problem Identification of Dynamic Programming in Game Theory:

In these type of problems you are basically given 2 players(first and second), set of operations, and a win condition. Given that both the players play optimally and they take turn one after the other we have to determine the winner of the game....

Winning State and Loosing State:

If a player is standing at a particular state ‘S’ and it can send its opponent to one of the K different states T1, T2…TK then: Condition for ‘S’ to be a winning State: If there exists atleast one state from T1 to TK which is a Loosing States. Condition for ‘S’ to be a Loosing State: All the states from T1 to TK are Winning States. Obviously, in order to win the player will try to send its opponent to any loosing state and if it is not possible to do so then that player itself looses the game. follow the below image for better understanding....

Practice Problems on Dynamic Programming in Game Theory:

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