1. (Requires calculus). In the model of a dominant firm, assume that the fringe supply curve is given by Q = -1 + 0.2P, where P is market price and Q is output. Demand is given by Q = 11 – P.What will price and output be if there is no dominant firm? Now assume that there is a dominant firm, whose marginal cost is constant at $6. Derive the residual demand curve that it faces and calculate its profit-maximizing output and price. highest bidder, but both the winning and losing bidders must pay her their bids. So if Jones bids $1 they pay a total of $3, but Jones gets the money, leaving him with a net gain of $98 and Smith with -$1. If both bid the same amount, the $100 is split evenly between them. Assume that each of them has only two $1 bills on hand, leaving three possible bids: $0, $1 or $2. Write out the payoff matrix for this game, and then find its Nash equilibrium.
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