Optimal Control of Selling Channels for an Online Retailer with Cost‐per‐Click Payments and Seasonal Products

Abstract

The problem studied in this paper is a predigestion of the decision faced by online retailers (etailers) that advertise on publisher or comparison‐shopping websites. An etailer may sell its product not only through its online and bricks‐and‐mortar stores, but also through the websites of one or more third parties (e.g., Yahoo.com). However, the etailer has to pay a certain amount to such third parties in an action‐based payment scheme, such as a cost‐per‐click (CPC) scheme. Under the CPC scheme, payment is based solely on click‐throughs, which means that the etailer pays only when a shopper clicks through to the product page of its website. Only a fraction of such clicks lead to actual sales. The extra cost that is associated with shoppers who first click through to the third‐party websites makes them less attractive as customers than those who directly visit the etailer's online store. Moreover, the CPC rate for a prominent placement is normally set by competitive bidding, and thus varies over time. Therefore, the etailer needs to decide dynamically whether or not to list on a third‐party website. The structural properties of the optimal policy are discussed, and numerical examples are given to show the revenue impact of dynamic listing control.

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