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Please help, in need of assistance before 4:00 pm eastern time! Will leave a positive rating for anyone willing to answer. The subject is Game

Please help, in need of assistance before 4:00 pm eastern time! Will leave a positive rating for anyone willing to answer. The subject is Game Theory Economics. image text in transcribed
3. [40 total points) Two firms compete with each other in a market, selling a product that is an imperfect substitute of each other. Suppose these two firms compete in prices, with p being the price set by firm 1 and P2 the price set by firm 2. Suppose these firms' best-response functions are given by the following equations, BR, (P2) = 2 + P2, (Best-response function of firm 1 as a function of the pz) BR2(p) = 4+P1, (Best-response function of firm 2 as a function of the ps) In what follows, suppose the government has set a price price ceiling of p = 20 in this indus- try, so we must have 0 SP1 S 20 and 0 SP2 s 20 (these are the game's strategy spaces). (a) [10 points) Is this a game of strategic complements or strategic substitutes? Explain. (b) [10 points) Characterize the "reduced-game Ri" as the range of prices P1 and P2 that are best-responses to some price in the game's original strategy space. ( (9 (10 points) Characterize the "reduced-game Rz" as the range of prices P. and P2 that are best-responses to some price in the game's reduced-game R. (d) (10 points) Find the pure-strategy Nash equilibrium (PSNE) of the game. Are PSNE prices below the government price ceiling of $20

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