To find a Nash equilibrium, identify the best response for each player to every possible action of their opponent. A Nash equilibrium occurs in the cell where both players' payoffs are best responses to each other, often marked by two underlines in the same cell.
Conditions: Requires identifying best responses for all players.; Applies to simultaneous move games represented by a payoff matrix.
To find a Nash equilibrium, identify the best response for each player to every possible action of their opponent. A Nash equilibrium occurs in the cell where both players' payoffs are best responses to each other, often marked by two underlines in the same cell.
Conditions: Requires identifying best responses for all players.; Applies to simultaneous move games represented by a payoff matrix.
A dominant strategy is an action that provides a higher payoff than any other available action, no matter what strategy the other player chooses. It is the best response to all possible actions of the opponent.
Conditions: Must be the best response to all possible actions of the opponent.; Applies to a specific player in the game.
A dominant strategy is an action that provides a higher payoff than any other available action, no matter what strategy the other player chooses. It is the best response to all possible actions of the opponent.
Conditions: Must be the best response to all possible actions of the opponent.; Applies to a specific player in the game.
To find a player's best response, fix the opponent's action and compare the payoffs the player receives for each of their own available actions. The action that yields the highest payoff is the best response to that specific opponent action.
Conditions: Requires knowing the opponent's action.; Requires comparing payoffs across available actions.; Applies to a specific cell column (for the row player) or row (for the column player).
To find a player's best response, fix the opponent's action and compare the payoffs the player receives for each of their own available actions. The action that yields the highest payoff is the best response to that specific opponent action.
Conditions: Requires knowing the opponent's action.; Requires comparing payoffs across available actions.; Applies to a specific cell column (for the row player) or row (for the column player).