Optimal Pricing of Two Successive-Generation Products with Trade-in Options under Uncertainty

To entice consumers to purchase both current and next generation products, many manufacturers and retailers offer trade-in programs that allow buyers of the first generation product to trade-in the product and purchase the new generation product at a lower price. By considering the interactions between “forward-looking” consumers and a firm when a trade-in program is offered, we analyze a two-period dynamic game to determine the optimal prices of two successive-generation products in equilibrium, and examine the conditions under which trade-in programs are beneficial to the firm. Our model incorporates market heterogeneity (valuation of the first generation product varies among the consumer population), product uncertainty (the incremental value of the new product is uncertain before its introduction), and consumers' forward-looking behavior (consumers take future product valuation and prices into consideration when making purchasing decisions). With the trade-in option, we show that consumers are willing to pay a price that is higher than their valuations of the current product. Furthermore, trade-in programs are more beneficial to the firm when: (i) the durability of the current product is high; (ii) the market heterogeneity is low; or (iii) the uncertainty level (or the expected incremental value) of the new product is high. Finally, when the incremental value of the new product is more uncertain, consumers are more willing to purchase the current product because of the “option” value of the trade-in programs and thus trade-in programs can be more beneficial to the firm in this case.

[1]  Drew Fudenberg,et al.  Upgrades, Tradeins, and Buybacks , 1998 .

[2]  Haim Mendelson,et al.  Optimal Incentive-Compatible Priority Pricing for the M/M/1 Queue , 1990, Oper. Res..

[3]  Aleda V. Roth,et al.  Production, Manufacturing and Logistics Competitive advantage through take-back of used products , 2005 .

[4]  Erica Mina Okada,et al.  Trade-ins, Mental Accounting, and Product Replacement Decisions , 2001 .

[5]  Animesh Animesh,et al.  Durable Products with Multiple Used Goods Markets: Product Upgrade and Retail Pricing Implications , 2010, Mark. Sci..

[6]  Marc Rysman,et al.  Dynamics of Consumer Demand for New Durable Goods , 2007 .

[7]  Qian Liu,et al.  Selling to Heterogeneous Customers with Uncertain Valuations under Returns Policies , 2008 .

[8]  Daniel A. Levinthal,et al.  Durable Goods and Product Obsolescence , 1989 .

[9]  Mark E. Ferguson,et al.  Relicensing as a Secondary Market Strategy , 2012, Manag. Sci..

[10]  Erica Mina Okada,et al.  Upgrades and New Purchases , 2006 .

[11]  Mark Ferguson,et al.  Closed-Loop Supply Chains : New Developments to Improve the Sustainability of Business Practices , 2010 .

[12]  Scott M. Carr,et al.  Pricing Software Upgrades: The Role of Product Improvement and User Costs , 2009 .

[13]  Ann van Ackere,et al.  Trade-ins and Introductory Offers in a Monopoly , 1995 .

[14]  Phillip J. Lederer,et al.  Pricing, Production, Scheduling, and Delivery-Time Competition , 1997, Oper. Res..

[15]  Ying-Ju Chen,et al.  Optimal Selling Scheme for Heterogeneous Consumers with Uncertain Valuations , 2011, Math. Oper. Res..

[16]  Om Narasimhan,et al.  Understanding the Role of Trade-Ins in Durable Goods Markets: Theory and Evidence , 2009, Mark. Sci..

[17]  Vered Blass,et al.  Economic and Environmental Assessment of Remanufacturing Strategies for Product + Service Firms , 2014 .

[18]  V. Doctori Blass,et al.  End-of-life management of cell phones in the United States , 2008, 2008 IEEE International Symposium on Electronics and the Environment.

[19]  Necati Aras,et al.  Optimal Prices and Trade-in Rebates for Durable, Remanufacturable Products , 2005, Manuf. Serv. Oper. Manag..