(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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.  (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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