QUESTION 13 Consider a market where two firms (1 and 2) produce differentiated goods and compete in prices. The demand for firm 1 is given by D₁(P1, P2) = 140 - 2p1 + P2 and demand for firm 2's product is D2(P1, P2) 140 - 2p2 + P₁ Both firms have a constant marginal cost of 20. What is the Nash equilibrium price of firm 1? (Only give a full number; if necessary, round to the lower integer; no dollar sign.)

Two companies are the only Snowplow merchants in a small town. Inverse market demand curve is P 100- 10Q, where Q=ql + q2 (Firm l's output =q1; Firm 2's output = q2). Each firm has marginal costs of $25. In the Nash equilibrium in this market, the market price is $ O 50 O 40 25 60

Part 2: First Long Question There are two French bakeries in a small town: Le Meilleur Croissant (C), owned by Camille, and Le Meilleur Pain Au Chocolat (P), owned by Paul. In each period of an infinitely repeated game, they compete a la Bertrand, with market demand given by Q(pmin) = 10 - Pmin- Even though they sell identical goods, they have different marginal costs: cc = 2 and %3D Cp = 4 (Paul bakes just as well but is bad at business decisions). There are no fixed costs. Question 6 Turns out that Camille and Paul are married, and so they choose prices to maximize the joint profits of the two firms. Because both love baking and love each other, they also jointly decide that both firms should be selling positive amounts in their optimal plan. What prices do they choose? Pc = 6, pp = 11 Pc = 6.5, pp = 6.5 Pc = 6, pp = 6 Pc = 7, pp = 7 %3D O pc = 6, pp = 7

Q16

Note: the answer should be typed.

Time remaining: 00:09:51 Economics The market demand function is Q=10,000-1,000p. Each firm has a marginal cost of m=$0.16. Firm 1, the leader, acts before Firm 2, the follower. Solve for the Stackelberg-Nash equilibrium quantities, prices, and profits. Compare your solution to the Cournot-Nash equilibrium. The Stackelberg-Nash equilibrium quantities are: q1=___________ units and q2=____________units The Stackelberg-Nash equilibrium price is: p=$_____________ Profits for the firms are profit1=$_______________ and profit2=$_______________ The Cournot-Nash equilibrium quantities are: q1=______________units and q2=______________units The Cournot-Nash equilibrium price is: p=$______________ Profits for the firms are profit1=$_____________ and profit2=$_______________

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Consider a market in which there are two firms: A and B. Each firm produces a differentiated product and chooses its price Assume that each firm can set price equal to $60 or $70. The payoffs associated with each set of prices are shown If the firms choose price simultaneously, then the Nash equilibrium price for firm A If firm A chooses price first and can commit to that price, then firm A will Firm B's Price is set its price equal to $00 $70 OA. $60, $60 OB. $70, $70 $2700 $2475 $60 OC 570, $60 OD. $60, $70 $2700 $3375 Firm A's Price $3375 $3300 $70 $2475 $3300

(J)

The demand for a product is Q = a - P/2. If there are 4 firms in an industry and marginal cost is MC = 20, then the price in Nash equilibrium is P = 56. What is a?