Consider a pricing game between Coles and Woolworths. Each firm simultaneously chooses whether to price High or Low. If both firms price Low, the payoffs are 8 to each firm. If both firms choose High, each firm gets 12. If one firm chooses Low and the other High, the Low-priced firm gets 14 and the firm that opted for High gets 2.In this game: Coles has a dominant strategy to choose High Correct! Coles has a dominant strategy to choose Low Coles does not have a dominant strategy Coles does have a dominant strategy, but it depends on what Woolworth chooses to do. None of the above
Question
Consider a pricing game between Coles and Woolworths. Each firm simultaneously chooses whether to price High or Low. If both firms price Low, the payoffs are 8 to each firm. If both firms choose High, each firm gets 12. If one firm chooses Low and the other High, the Low-priced firm gets 14 and the firm that opted for High gets 2.In this game: Coles has a dominant strategy to choose High Correct! Coles has a dominant strategy to choose Low Coles does not have a dominant strategy Coles does have a dominant strategy, but it depends on what Woolworth chooses to do. None of the above
Solution
In game theory, a dominant strategy is one where a player will always receive a higher payoff, regardless of what the other player(s) do.
Let's analyze the options for Coles:
-
If Woolworths chooses High, Coles gets 12 by choosing High and 14 by choosing Low. So, in this case, Low is the better option for Coles.
-
If Woolworths chooses Low, Coles gets 8 by choosing Low and 2 by choosing High. So, in this case, Low is also the better option for Coles.
Therefore, regardless of what Woolworths does, Coles always gets a higher payoff by choosing Low.
So, the correct answer is "Coles has a dominant strategy to choose Low".
Similar Questions
Consider a pricing game between Coles and Woolworths. Each firm simultaneously chooses whether to price High or Low. If both firms price Low, the payoffs are 8 to Coles and 2 to Woolworths. If both firms choose High, the payoffs are 3 to Coles and 7 to Woolworths. If Coles opts for Low and Woolworths High, Coles gets 5 and Woolworths 4. Finally, if Coles plays High and Woolworths Low, Coles gets 7 and Woolworths receives a payoff of 6. Which statement is true?Group of answer choicesthe outcome of the game is (Low, High), where Coles if playing the first strategy Low and Woolworths High; this game is a prisoners’ dilemmathe outcome of the game is (High, Low); this game is a prisoners’ dilemmathe outcome of the game is (Low, Low); this game is not a prisoners’ dilemmathe outcome of the game is (High, High); this game is a prisoners’ dilemmathe outcome of the game is (High, High); this game is not a prisoners’ dilemma
If a firm finds it most profitable to adopt the same strategy regardless what its rival chooses to do, then that firm has a dominant strategy
A dominant strategy, as seen by a firm, is one that is legally imposed by the government or a regulator. decided by a dominant firm. decided by the firm itself, because it is dominant in the industry. always chosen.
In a dominant-strategy equilibriumGroup of answer choicesNone of the other answers are correct.Every player adopts a strategy that guarantees that the tota payoffs generated are minimised.Each player's strategy is their best choice, regardless as to the choice of action of its rivals.Each player's strategy is its dominant strategy, but only provided every player also adopts their dominant strategy.Every player adopts a strategy and the total payoffs generated for the players are maximised.
For a player in a game, a dominant strategy isGroup of answer choicesAll of the other answers are correctthe strategy that maximises the joint payoff of players in the game.When all players adopt the same strategywhen a player adopts the same strategy, regardless as to the strategies of any other players in the gameNone of the other answers are correct
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.