Suppose a manufacturer and its retailer face the problem of double marginalization described in my notes, Section 11.1. If the manufacturer sets the wholesale price equal to its marginal cost c and in addition, requires the retailer to pay a fraction α (between 0 and 1) of its profit. 4.a Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem? (That is, will this practice maximize their joint profit?) 4.b Suppose the retailer is required to pay a fraction of α of its sales (i.e., total revenue). Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem?
Suppose a manufacturer and its retailer face the problem of double marginalization described in my notes, Section 11.1. If the manufacturer sets the wholesale price equal to its marginal cost c and in addition, requires the retailer to pay a fraction α (between 0 and 1) of its profit.
4.a Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem? (That is, will this practice maximize their joint profit?)
4.b Suppose the retailer is required to pay a fraction of α of its sales (i.e., total revenue). Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem?
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