Extended warranty pricing in a competitive aftermarket under logit demand

It is common for multiple firms—such as manufacturers, retailers, and third-party insurers—to coexist and compete in the aftermarket for durable products. In this paper, we study price competition in a partially concentrated aftermarket where one firm offers multiple extended warranty (EW) contracts while the others offer a single one. The demand for EWs is described by the multinomial logit model. We show that, at equilibrium, such an aftermarket behaves like a combination of monopoly and oligopoly. Building upon this base model, we further investigate sequential pricing games for a durable product and its EWs to accommodate the ancillary nature of after-sales services. We consider two scenarios: one where the manufacturer (as the market leader) sets product and EW prices simultaneously , and another where these decisions are made sequentially . Our analysis demonstrates that offering EWs incentivizes the manufacturer to lower the product price, thereby expanding the market potential for EWs. Simultaneous product–EW pricing leads to a price concession on EWs compared to sequential pricing, effectively reducing the intensity of competition in the aftermarket. Overall, the competitiveness of an EW hinges on its ability to deliver high value to consumers at low marginal cost to its provider. While our focus is on EWs, the proposed game-theoretical pricing models apply broadly to other ancillary after-sales services. • Study price competition in a partially concentrated aftermarket under logit demand. • Partial concentration behaves like a combination of oligopoly and monopoly. • Reveal a market-share redistribution effect resulting from competition. • Characterize product and warranty prices by an equilibrium to a sequential game. • Simultaneous product–warranty retailing induces a price concession in the aftermarket.

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Publication Details

Journal
European Journal of Operational Research
Published
2025-04-09
DOI
https://doi.org/10.1016/j.ejor.2025.04.001
Citations
1
Primary Topic
Supply Chain and Inventory Management
Type
article
Field-Weighted Citation Impact
2.28
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article

Extended warranty pricing in a competitive aftermarket under logit demand

Shizhe Peng, Xiaolin Wang, Xiaoge Zhang
1 citations
European Journal of Operational Research
Supply Chain and Inventory Management
2.28
article

Extended warranty pricing in a competitive aftermarket under logit demand

Shizhe Peng, Xiaolin Wang, Xiaoge Zhang
article en
1 citations

Abstract

It is common for multiple firms—such as manufacturers, retailers, and third-party insurers—to coexist and compete in the aftermarket for durable products. In this paper, we study price competition in a partially concentrated aftermarket where one firm offers multiple extended warranty (EW) contracts while the others offer a single one. The demand for EWs is described by the multinomial logit model. We show that, at equilibrium, such an aftermarket behaves like a combination of monopoly and oligopoly. Building upon this base model, we further investigate sequential pricing games for a durable product and its EWs to accommodate the ancillary nature of after-sales services. We consider two scenarios: one where the manufacturer (as the market leader) sets product and EW prices simultaneously , and another where these decisions are made sequentially . Our analysis demonstrates that offering EWs incentivizes the manufacturer to lower the product price, thereby expanding the market potential for EWs. Simultaneous product–EW pricing leads to a price concession on EWs compared to sequential pricing, effectively reducing the intensity of competition in the aftermarket. Overall, the competitiveness of an EW hinges on its ability to deliver high value to consumers at low marginal cost to its provider. While our focus is on EWs, the proposed game-theoretical pricing models apply broadly to other ancillary after-sales services. • Study price competition in a partially concentrated aftermarket under logit demand. • Partial concentration behaves like a combination of oligopoly and monopoly. • Reveal a market-share redistribution effect resulting from competition. • Characterize product and warranty prices by an equilibrium to a sequential game. • Simultaneous product–warranty retailing induces a price concession in the aftermarket.

European Journal of Operational ResearchVol. 325(3)
Hong Kong Polytechnic University (HK), Sichuan University (CN), Changsha University of Science and Technology (CN)
Openalex Percentile: Top 13%
Supply Chain and Inventory Management
2.28
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