 Manipulated Nash equilibrium

The concept of "Manipulated Nash Equilibrium" is not a standard term in game theory literature but can pertain to scenarios where players in a game can strategize to influence or manipulate the outcome to their advantage while still adhering to the principles of Nash equilibrium. In a typical Nash equilibrium, each player’s strategy is optimal given the strategy chosen by all other players. In other words, no player can benefit by unilaterally changing their strategy if the other players' strategies remain unchanged.