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Find the buyer''s marginal profit and set it equal to zero

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Reference no: EM13880211

A buyer has value vb for a potential acquisition and believes the seller's reservation price has the cumulative probability distribution F(v). The buyer chooses P to maximize its expected profit:

1rb = (vb - P)Pr(P accepted) = (vb - P)F(P).

Find the buyer's marginal profit and set it equal to zero. Show that the buyer's optimal price satisfies P = vb - F(P)/f(p), where f(v) = dF(v)/dv is the associated density function. Note that the buyer shades down its value in making its optimal bid.

Reference no: EM13880211

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