Coordinating Channels for Durable Goods: The Impact of Competing Secondary Markets

A large literature in economics and marketing studies the problem of manufacturer's designing contracts that give a retailer appropriate incentives to make decisions that are optimal from the manufacturer's point of view (see, for example, Spengler 1950, Jeuland and Shugan 1983, McGuire and Staelin 1983, Lal 1990, Rao and Srinivasan 1995, Desai 1997, among others). An important result from this literature is that the manufacturer can coordinate retail price decisions by choosing a two-part tariff in which the wholesale price equals the manufacturer's marginal cost and the fixed fee extracts all the rents from the retailer. In other words, the manufacturer sells the firm to the retailer for the fixed fee and, thus, eliminates the double-marginalization problem. Although this result is well established for non-durables, researchers have not analyzed the coordination issue for durable goods manufacturers who have the added complexity of competition from used goods in secondary markets. In this paper, we show how the coordination problem for a durable goods manufacturer is fundamentally different from the traditional coordination problem of a non-durables manufacturer. In particular, the durable goods manufacturer has to solve not only the coordination problem but also the time-consistency problem (see, for example, Coase 1972, Bulow 1982, Purohit 1995). Our objectives in this paper are to investigate whether or not the insights from the channel coordination literature, that has developed principally with non-durable goods in mind, are also applicable to durable goods. In order to do this, we develop a dynamic, two-period model in which a manufacturer sells its products to a retailer who sells the product to consumers. Products sold in the first period become used goods in the second period and compete with sales of new units. Starting from consumer utilities, we derive inverse demand functions for new and used goods and consider a number of different contracts between the manufacturer and the retailer. We start with a simple contract in which the manufacturer offers a wholesale price for a period at the beginning of that period. As one would expect, this contract does not solve either the channel coordination problem or the time-consistency problem. We then consider a number of two-part tariff contracts. Given the well-established results from the existing channel coordination literature, we begin with a contract in which the manufacturer offers per-period two-part tariffs in which all wholesale prices are set at marginal cost. We find that not only does this contract fail to achieve channel coordination, but the retailer sells a higher quantity than an integrated manufacturer would sell. This is in contrast to the traditional double marginalization problem in which the retailer sells a lower quantity than an integrated manufacturer would sell. We then allow the wholesale prices to be different from marginal costs. We show that using this more general two-part tariff contract, the manufacturer can achieve channel coordination. That is, the total channel profit is the same as the profit of an integrated seller. However, the equilibrium wholesale price in the first period is strictly above the marginal cost. Next, we consider a contract in which the manufacturer uses a single fixed fee, announced at the beginning of the first period. The per-period wholesale prices are still at the marginal cost level in this contract. This contract is identical to "selling the firm to the retailer" at the price of the fixed fee. Here we find that the contract can achieve channel coordination. However, the contract is not an equilibrium solution. In particular, the manufacturer increases wholesale prices to above marginal cost levels. Although some of the contracts above solve the double marginalization problem, none of them mitigates the time consistency problem. In order to solve both these problems, the contract must yield total channel profit equal to an integrated renter's profit. Because the renter does not have a problem with time consistency, an integrated renter earns the highest profits in a durable goods channel. We derive a contract that solves both of these problems. In this contract, at the beginning of period 1, the manufacturer writes a contract with the retailer specifying a fixed fee and two per-period wholesale prices, both of which turn out to be strictly above the marginal cost. Interestingly, with this contract, the manufacturer makes more money by selling through the retailer rather than selling directly to consumers. We contribute to the coordination literature by examining coordination issues in a dynamic, durable goods context and identifying a new coordination problemunlike the traditional coordination models, a durable goods manufacturer may have to provide the retailer incentives to sell less rather than to sell more. Clearly, the traditional "selling the firm to the retailer," approach does not solve this new problem. We also contribute to the durable goods literature by showing how a durable goods manufacturer can sell its product and solve its time consistency problem. Effectively, this allows the manufacturer to earn the same profits as it would get if it could commit to prices or if it could rent its product. When committing to individual consumers or renting can only be achieved through additional costs, our solution is the optimal strategy for a durable goods manufacturer.

Digital Content Strategies

This paper studies content strategies for online publishers of digital information goods. It examines sampling strategies and compares their performance to paid content and free content strategies. A sampling strategy, where some of the content is offered for free and consumers are charged for access to the rest, is known as a "metered model" in the newspaper industry. We analyze optimal decisions concerning the size of the sample and the price of the paid content when sampling serves the dual purpose of disclosing content quality and generating advertising revenue. We show in a reduced-form model how the publisher's optimal ratio of advertising revenue to sales revenue is linked to characteristics of both the content market and the advertising market. We assume that consumers learn about content quality from the free samples in a Bayesian fashion. Surprisingly, we find that it can be optimal for the publisher to generate advertising revenue by offering free samples even when sampling reduces both prior quality expectations and content demand. In addition, we show that it can be optimal for the publisher to refrain from revealing quality through free samples when advertising effectiveness is low and content quality is high

How Should a Firm Manage Deteriorating Inventory? (ed.2)

Firms selling goods whose quality level deteriorates over time often face difficult decisions when unsold inventory remains. Since the leftover product is often perceived to be of lower quality than the new product, carrying it over offers the firm a second selling opportunity, but at a reduced price. By doing so, however, the firm subjects sales of its new product to competition from the leftover product. We present a dynamic model that captures the effect of this competition on the firm's production and pricing decisions. We characterize the firm's optimal strategy and find conditions under which the firm is better off carrying all, some, or none of its leftover inventory. We also show that the price of the new product is independent of the quality level of the leftover product

How Should a Firm Manage Deteriorating Inventory? (ed.1)

Firms selling goods whose quality level deteriorates over time often face difficult decisions when unsold inventory remains. Since the leftover product is often perceived to be of lower quality than the new product, carrying it over to the next period offers the firm a second selling opportunity, but at a reduced price. By doing so, however, the firm subjects sales of its new product to competition from the leftover product. We present a dynamic model that captures the effect of this competition on the firm's production and pricing decisions. We characterize the firm's optimal strategy and find conditions under which the firm is better of carrying all, some, or none of its leftover inventory to the next period. We also show that the price of the new product is independent of the quality level of the leftover product. Finally, we relax the model assumption and assume that there is demand uncertainty in both periods. We run a simulation and find that the firm finds it optimal to introduce the old units only if the level of uncertainty is low and does not exceed a certain threshold

The Design of Durable Goods

The use of a durable good is limited by both its physical life and usable life. For example, an electric-car battery can last for five years (physical life) or 100,000 miles (usable life), whichever comes first. We propose a framework for examining how a profit-maximizing firm might choose the usable life, physical life, and selling price of a durable good. The proposed framework considers differences in usage rates and product valuations by consumers and allows for the effects of technological constraints and product obsolescence on a product's usable and physical lives. Our main result characterizes a relationship between optimal price, cost elasticities, and opportunity costs associated with relaxing upper bounds on usable and physical lives. We describe conditions under which either usable life or physical life, or both, obtains its maximum possible values; examine why a firm might devote effort to relaxing nonbinding constraints on usable life or physical life; consider when price cuts might be accompanied with product improvements; and examine how a firm might be able to cross-subsidize product improvements.product life, product design, technology development, durable goods, pricing

The Protection Economy: Occasional Service Failure as a Business Model

Should a provider deliver a reliable service or should it allow for occasional service failures? This paper derives conditions under which randomizing service quality can benefit the provider and society. In addition to cost considerations, heterogeneity in customer damages from service failures allows the provider to generate profit from selling damage prevention services or offering compensation to high-damage customers. This strategy is viable even when reputation counts and markets are competitive

Research Note--The Role of Production Lead Time and Demand Uncertainty in Marketing Durable Goods

Firms often have to make their production decisions under conditions of demand uncertainty. This is especially true for product categories such as automobiles and technology goods where the lead time needed for manufacturing forces firms to make production decisions well in advance of the selling season. Once the firm has produced the goods, the available production volume affects the firm's subsequent marketing decisions. In this paper, we study the relationship between the firm's production and marketing decisions for a durable goods manufacturer. We develop a dynamic model of a durable product market in which the demand functions are developed from a micromodeling of consumer utility functions and an equilibrium analysis of consumer strategies. After taking into account the demand uncertainty as well as the potential for cannibalization of future sales, the manufacturer makes its production and sales decisions. We find that the firm's optimal inventory level is U-shaped in the durability of the product and that the firm suffers a larger loss due to uncertainty when it is leases rather than sells its products. Furthermore, unlike the case for nondurables, for durable goods we find that the effect of uncertainty persists even after the uncertainty has been resolved.game theory, demand uncertainty, durable goods