Consider two competitors in the hardware industry, Handy Hardware and Tradie Heaven. Both firms can simultaneously choose to Discount or Not (discount). If both firms Discount the payoffs are 15 to each firm. If both firms choose Not to discount, the payoffs are 25 to each firm. If Handy Hardware chooses Discount and Tradie Heaven chooses Not, Handy gets 20 and Tradie gets 10. If Handy Hardware chooses Not to discount and Tradie Heaven chooses Discount, Handy gets 10 and Tradie gets 20. What is the outcome of this game? Group of answer choices One firm chooses Not and the other Discount. Both firms choose Discount, and this is a prisoners’ dilemma. There is no dominant strategy equilibrium None of the other answers are correct. Both firms choose Discount but this is not a prisoners’ dilemma.
Question
Consider two competitors in the hardware industry, Handy Hardware and Tradie Heaven. Both firms can simultaneously choose to Discount or Not (discount). If both firms Discount the payoffs are 15 to each firm. If both firms choose Not to discount, the payoffs are 25 to each firm. If Handy Hardware chooses Discount and Tradie Heaven chooses Not, Handy gets 20 and Tradie gets 10. If Handy Hardware chooses Not to discount and Tradie Heaven chooses Discount, Handy gets 10 and Tradie gets 20. What is the outcome of this game?
Group of answer choices
One firm chooses Not and the other Discount.
Both firms choose Discount, and this is a prisoners’ dilemma.
There is no dominant strategy equilibrium
None of the other answers are correct.
Both firms choose Discount but this is not a prisoners’ dilemma.
Solution
Step 1: Identify the strategies of the players. In this case, the strategies are to Discount or Not to discount.
Step 2: Identify the payoffs for each strategy. If both firms Discount, they each get 15. If both firms choose Not to discount, they each get 25. If Handy Hardware chooses Discount and Tradie Heaven chooses Not, Handy gets 20 and Tradie gets 10. If Handy Hardware chooses Not to discount and Tradie Heaven chooses Discount, Handy gets 10 and Tradie gets 20.
Step 3: Identify the best response for each player. For both Handy Hardware and Tradie Heaven, the best response is to Discount, regardless of what the other player does. This is because the payoff from Discounting (15 if the other player also Discounts, 20 if the other player does Not) is always higher than the payoff from Not Discounting (10 if the other player Discounts, 25 if the other player does Not).
Step 4: Identify the equilibrium. The equilibrium is where the strategies of the players are mutual best responses. In this case, the equilibrium is where both firms choose to Discount.
Step 5: Identify the type of game. This is a prisoners' dilemma because both firms would be better off if they could cooperate and choose Not to discount, but they each have a dominant strategy to Discount, leading to a less desirable outcome.
So, the answer is "Both firms choose Discount, and this is a prisoners’ dilemma."
Similar Questions
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