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).
In a normal-form payoff matrix, each cell contains an ordered pair of payoffs. The first number represents the payoff for Player 1 (the row player), and the second number represents the payoff for Player 2 (the column player).
Conditions: The game is represented in normal form (a payoff matrix).; Player 1 is assigned to the rows and Player 2 is assigned to the columns.; The payoff convention is explicitly stated as (Player 1, Player 2).
In a normal-form payoff matrix, each cell contains an ordered pair of payoffs. The first number represents the payoff for Player 1 (the row player), and the second number represents the payoff for Player 2 (the column player).
Conditions: The game is represented in normal form (a payoff matrix).; Player 1 is assigned to the rows and Player 2 is assigned to the columns.; The payoff convention is explicitly stated as (Player 1, Player 2).
The first step is to find the best responses for each player. You must consider, from each player's perspective, what their best response would be to each possible action of the other player.
Conditions: The payoff table has been read correctly.; You are evaluating one player at a time.; You condition on each possible action of the other player separately.
The first step is to find the best responses for each player. You must consider, from each player's perspective, what their best response would be to each possible action of the other player.
Conditions: The payoff table has been read correctly.; You are evaluating one player at a time.; You condition on each possible action of the other player separately.
A Nash equilibrium is an outcome in a game where neither player has an incentive to change their behavior, given the action or strategy of the other player. It represents a state of mutual best responses.
Conditions: Applies to a specified game outcome.; Each player's action is evaluated against the other player's fixed action.; The definition concerns unilateral deviation incentives.
A Nash equilibrium is an outcome in a game where neither player has an incentive to change their behavior, given the action or strategy of the other player. It represents a state of mutual best responses.
Conditions: Applies to a specified game outcome.; Each player's action is evaluated against the other player's fixed action.; The definition concerns unilateral deviation incentives.