Consider two firms in the hardware store market in Sydney, Handy Hardware (HH) and Tradie Heaven (TH). The timing of the game is that first HH chooses to Discount (D) or Not Discount (ND). Having observed its rival’s choice, TH can then choose to either D or ND. The payoffs are as follows. If both firms chose D, each firm gets a profit of 2. If both firms opted for ND, each firm also gets 2. If HH chose D and TH opted for ND, HH gets 5 and TH 1. Conversely, if HH chose ND and TH went for D, the payoffs are 1 to HH and 5 to TH. What is the credible equilibrium outcome in this game?Group of answer choices(ND, ND)(D, ND)(D, D)(ND, D)Either (D, ND) or (ND, D)
Question
Consider two firms in the hardware store market in Sydney, Handy Hardware (HH) and Tradie Heaven (TH). The timing of the game is that first HH chooses to Discount (D) or Not Discount (ND). Having observed its rival’s choice, TH can then choose to either D or ND. The payoffs are as follows. If both firms chose D, each firm gets a profit of 2. If both firms opted for ND, each firm also gets 2. If HH chose D and TH opted for ND, HH gets 5 and TH 1. Conversely, if HH chose ND and TH went for D, the payoffs are 1 to HH and 5 to TH. What is the credible equilibrium outcome in this game?Group of answer choices(ND, ND)(D, ND)(D, D)(ND, D)Either (D, ND) or (ND, D)
Solution
This is a sequential game where Handy Hardware (HH) moves first and Tradie Heaven (TH) moves second. The game can be solved using backward induction.
Step 1: Consider TH's decision after HH has moved. If HH chooses to Discount (D), TH will choose ND because it gives them a higher payoff (1 > 2). If HH chooses Not to Discount (ND), TH will choose D because it gives them a higher payoff (5 > 2).
Step 2: Anticipating TH's responses, HH will choose D because it gives them a higher payoff (5 > 1) when TH responds optimally.
So, the credible equilibrium outcome in this game is (D, ND).
Similar Questions
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Consider Apple and Samsung considering developing an entering a new market (by developing a new type of device). Each firm simultaneously makes its choice whether or not to Enter (E) or to Not Enter (NE). If both firms enter (E) the payoff is -5 to each firm. If both firms do not enter (NE) they each get a profit of 2. If one enters and the other chooses to NE, the entrant gets 10 and the other firm gets a profit of 0. What are the Nash equilibria of the game?Group of answer choices. (NE, E) and (E, NE), where the first strategy in each parentheses is Apple’s and the second is Samsung’s(E, E)(E, NE)(E, E) and (NE, NE)(NE, E)
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