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Decisions on pricing, capacity investment, and introduction timing of new product generations in a durable-good monopoly

Author

Listed:
  • Richard F. Hartl

    (University of Vienna)

  • Peter M. Kort

    (Tilburg University
    University of Antwerp)

  • Andrea Seidl

    (University of Vienna)

Abstract

The aim of the present paper is to analyze how firms that sell durable goods should optimally combine continuous-time operational level planning with discrete decision making. In particular, a firm has to continuously adapt its capacity investments and sales strategy, but only at certain times it will introduce a new version of the durable good to the market. The launch of a new generation of the product attracts new customers. However, in order to be able to produce the new version, production facilities need to be adapted leading to a decrease of available production capacities. We find that the price of a given generation of a product decreases over time. A firm should increase its production capacity most upon introduction of a new product. The stock of potential consumers is largest then so that the market is most profitable. The extent to which existing capacity can still be used in the production process for the next generation has a non-monotonic effect on the time when a new version of the product is introduced as well as on the capital stock level at that time.

Suggested Citation

  • Richard F. Hartl & Peter M. Kort & Andrea Seidl, 2020. "Decisions on pricing, capacity investment, and introduction timing of new product generations in a durable-good monopoly," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 497-519, June.
    • Handle: RePEc:spr:cejnor:v:28:y:2020:i:2:d:10.1007_s10100-019-00659-4
    DOI: 10.1007/s10100-019-00659-4
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    References listed on IDEAS

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    1. João Montez, 2013. "Inefficient sales delays by a durable-good monopoly facing a finite number of buyers," RAND Journal of Economics, RAND Corporation, vol. 44(3), pages 425-437, September.
    2. Feichtinger, G. & Hartl, R.F. & Kort, P.M. & Veliov, V., 2001. "Dynamic Investment Behavior Taking into Account Ageing of the Capital Good," Discussion Paper 2001-13, Tilburg University, Center for Economic Research.
    3. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, April.
    4. R. Preston Mcafee & Thomas Wiseman, 2008. "Capacity Choice Counters the Coase Conjecture," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 317-331.
    5. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Anticipation effects of technological progress on capital accumulation: a vintage capital approach," Journal of Economic Theory, Elsevier, vol. 126(1), pages 143-164, January.
    6. Hartl, Richard F., 1987. "A simple proof of the monotonicity of the state trajectories in autonomous control problems," Journal of Economic Theory, Elsevier, vol. 41(1), pages 211-215, February.
    7. Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2015. "Capital stock management during a recession that freezes credit markets," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 1-14.
    8. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    9. Teck-Hua Ho & Sergei Savin & Christian Terwiesch, 2002. "Managing Demand and Sales Dynamics in New Product Diffusion Under Supply Constraint," Management Science, INFORMS, vol. 48(2), pages 187-206, February.
    10. Caulkins, Jonathan P. & Hartl, Richard F. & Kort, Peter M. & Feichtinger, Gustav, 2007. "Explaining fashion cycles: Imitators chasing innovators in product space," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1535-1556, May.
    11. Laura J. Kornish, 2001. "Pricing for a Durable-Goods Monopolist Under Rapid Sequential Innovation," Management Science, INFORMS, vol. 47(11), pages 1552-1561, November.
    12. Wenjing Shen & Izak Duenyas & Roman Kapuscinski, 2014. "Optimal Pricing, Production, and Inventory for New Product Diffusion Under Supply Constraints," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 28-45, February.
    13. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Capital accumulation under technological progress and learning: A vintage capital approach," European Journal of Operational Research, Elsevier, vol. 172(1), pages 293-310, July.
    14. Chahim, Mohammed & Hartl, Richard F. & Kort, Peter M., 2012. "A tutorial on the deterministic Impulse Control Maximum Principle: Necessary and sufficient optimality conditions," European Journal of Operational Research, Elsevier, vol. 219(1), pages 18-26.
    15. Anirudh Dhebar, 1994. "Durable-Goods Monopolists, Rational Consumers, and Improving Products," Marketing Science, INFORMS, vol. 13(1), pages 100-120.
    16. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
    17. Elke Moser & Andrea Seidl & Gustav Feichtinger, 2014. "History-dependence in production-pollution-trade-off models: a multi-stage approach," Annals of Operations Research, Springer, vol. 222(1), pages 457-481, November.
    18. Michelle M.H. Şeref & Janice E. Carrillo & Arda Yenipazarli, 2016. "Multi-generation pricing and timing decisions in new product development," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1919-1937, April.
    19. Teck-Hua Ho & Sergei Savin & Christian Terwiesch, 2011. "Note: A Reply to "New Product Diffusion Decisions Under Supply Constraints"," Management Science, INFORMS, vol. 57(10), pages 1811-1812, October.
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