We set the two expected payoffs equal to enforce the indifference principle. In a mixed strategy Nash equilibrium, a player randomizes over their pure strategies only if they are completely indifferent between them.
Conditions: The game is in a mixed-strategy Nash equilibrium.; The player is randomizing over multiple pure strategies.; The expected payoffs for the player's pure strategies are calculated based on the opponent's mixed strategy.
We set the two expected payoffs equal to enforce the indifference principle. In a mixed strategy Nash equilibrium, a player randomizes over their pure strategies only if they are completely indifferent between them.
Conditions: The game is in a mixed-strategy Nash equilibrium.; The player is randomizing over multiple pure strategies.; The expected payoffs for the player's pure strategies are calculated based on the opponent's mixed strategy.