IDEAS home Printed from https://ideas.repec.org/a/hin/complx/9712626.html
   My bibliography  Save this article

Implications for Firms with Limited Information to Take Advantage of Reference Price Effect in Competitive Settings

Author

Listed:
  • Junhai Ma
  • Zhanbing Guo

Abstract

This paper studies internal reference price effects when competitive firms face reference price effects and make decisions based on partial information, where their decision-making mechanism is modeled by a dynamic adjustment process. It is shown that the evolution of this dynamic adjustment goes to stabilization if both adjustment speeds are small and the complexity of this evolution increases in adjustment speeds. It is proved that the necessary condition for flip bifurcation or Neimark-Sacker bifurcation will occur with the increase of adjustment speed in two special cases. What is more, numerical simulations show that these bifurcations do occur. Then, the impacts of parameters on stability and profits are investigated and some management insights for firms with limited information to take advantage of reference price effects are provided.

Suggested Citation

  • Junhai Ma & Zhanbing Guo, 2017. "Implications for Firms with Limited Information to Take Advantage of Reference Price Effect in Competitive Settings," Complexity, Hindawi, vol. 2017, pages 1-16, June.
    • Handle: RePEc:hin:complx:9712626
    DOI: 10.1155/2017/9712626
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2017/9712626.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2017/9712626.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/9712626?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Zhang, Jie & Kevin Chiang, Wei–yu & Liang, Liang, 2014. "Strategic pricing with reference effects in a competitive supply chain," Omega, Elsevier, vol. 44(C), pages 126-135.
    2. Yuan, Xuchuan & Hwarng, H. Brian, 2016. "Stability and chaos in demand-based pricing under social interactions," European Journal of Operational Research, Elsevier, vol. 253(2), pages 472-488.
    3. Zhang, Juan & Gou, Qinglong & Liang, Liang & Huang, Zhimin, 2013. "Supply chain coordination through cooperative advertising with reference price effect," Omega, Elsevier, vol. 41(2), pages 345-353.
    4. Zhenyu Hu & Xin Chen & Peng Hu, 2016. "Technical Note—Dynamic Pricing with Gain-Seeking Reference Price Effects," Operations Research, INFORMS, vol. 64(1), pages 150-157, February.
    5. Zizhuo Wang, 2016. "Technical Note—Intertemporal Price Discrimination via Reference Price Effects," Operations Research, INFORMS, vol. 64(2), pages 290-296, April.
    6. Eric A. Greenleaf, 1995. "The Impact of Reference Price Effects on the Profitability of Price Promotions," Marketing Science, INFORMS, vol. 14(1), pages 82-104.
    7. Javad Nasiry & Ioana Popescu, 2011. "Dynamic Pricing with Loss-Averse Consumers and Peak-End Anchoring," Operations Research, INFORMS, vol. 59(6), pages 1361-1368, December.
    8. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    9. Dye, Chung-Yuan & Yang, Chih-Te, 2016. "Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects," Omega, Elsevier, vol. 62(C), pages 52-67.
    10. Xuanming Su, 2008. "Bounded Rationality in Newsvendor Models," Manufacturing & Service Operations Management, INFORMS, vol. 10(4), pages 566-589, May.
    11. Gurumurthy Kalyanaram & Russell S. Winer, 1995. "Empirical Generalizations from Reference Price Research," Marketing Science, INFORMS, vol. 14(3_supplem), pages 161-169.
    12. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    13. Kamalinejad, Howra & Majd, Vahid Johari & Kebriaei, Hamed & Rahimi-Kian, Ashkan, 2010. "Cournot games with linear regression expectations in oligopolistic markets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(9), pages 1874-1885.
    14. Martín-Herrán, Guiomar & Taboubi, Sihem, 2015. "Price coordination in distribution channels: A dynamic perspective," European Journal of Operational Research, Elsevier, vol. 240(2), pages 401-414.
    15. Lin, Zhibing, 2016. "Price promotion with reference price effects in supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 52-68.
    16. Addison, John T. & Blackburn, McKinley L. & Cotti, Chad D., 2013. "Minimum wage increases in a recessionary environment," Labour Economics, Elsevier, vol. 23(C), pages 30-39.
    17. M. Güler & Taner Bi̇lgi̇ç & Refi̇k Güllü, 2014. "Joint inventory and pricing decisions with reference effects," IISE Transactions, Taylor & Francis Journals, vol. 46(4), pages 330-343.
    18. M. Güler & Taner Bilgiç & Refik Güllü, 2015. "Joint pricing and inventory control for additive demand models with reference effects," Annals of Operations Research, Springer, vol. 226(1), pages 255-276, March.
    19. Bischi, Gian Italo & Lamantia, Fabio & Radi, Davide, 2015. "An evolutionary Cournot model with limited market knowledge," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 219-238.
    20. Ahmed, E. & Elsadany, A.A. & Puu, Tonu, 2015. "On Bertrand duopoly game with differentiated goods," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 169-179.
    21. Elsadany, A.A., 2017. "Dynamics of a Cournot duopoly game with bounded rationality based on relative profit maximization," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 253-263.
    22. Agliari, A. & Naimzada, A.K. & Pecora, N., 2016. "Nonlinear dynamics of a Cournot duopoly game with differentiated products," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 1-15.
    23. Xin Li & Pengfei Guo & Zhaotong Lian, 2016. "Quality-Speed Competition in Customer-Intensive Services with Boundedly Rational Customers," Production and Operations Management, Production and Operations Management Society, vol. 25(11), pages 1885-1901, November.
    24. Gadi Fibich & Arieh Gavious & Oded Lowengart, 2003. "Explicit Solutions of Optimization Models and Differential Games with Nonsmooth (Asymmetric) Reference-Price Effects," Operations Research, INFORMS, vol. 51(5), pages 721-734, October.
    25. Yefen Chen & Xuanming Su & Xiaobo Zhao, 2012. "Modeling Bounded Rationality in Capacity Allocation Games with the Quantal Response Equilibrium," Management Science, INFORMS, vol. 58(10), pages 1952-1962, October.
    26. Lihao Lu & Qinglong Gou & Wansheng Tang & Jianxiong Zhang, 2016. "Joint pricing and advertising strategy with reference price effect," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5250-5270, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Malekian, Yaser & Rasti-Barzoki, Morteza, 2019. "A game theoretic approach to coordinate price promotion and advertising policies with reference price effects in a two-echelon supply chain," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 114-128.
    2. Guang Yang & Ying Wang & Mulin Liu, 2023. "Optimal Policy for Probabilistic Selling with Three-Way Revenue Sharing Contract under the Perspective of Sustainable Supply Chain," Sustainability, MDPI, vol. 15(4), pages 1-22, February.
    3. Anton, Ramona & Chenavaz, Régis Y. & Paraschiv, Corina, 2023. "Dynamic pricing, reference price, and price-quality relationship," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    4. Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2017. "Optimal dynamic pricing for deteriorating items with reference price effects when inventories stimulate demand," European Journal of Operational Research, Elsevier, vol. 262(1), pages 136-150.
    5. Wang, Qiang & Zhao, Nenggui & Wu, Jie & Zhu, Qingyuan, 2021. "Optimal pricing and inventory policies with reference price effect and loss-Averse customers," Omega, Elsevier, vol. 99(C).
    6. Zhang, Jie & Chiang, Wei-yu Kevin, 2020. "Durable goods pricing with reference price effects," Omega, Elsevier, vol. 91(C).
    7. Dye, Chung-Yuan & Yang, Chih-Te, 2016. "Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects," Omega, Elsevier, vol. 62(C), pages 52-67.
    8. Colombo, Luca & Labrecciosa, Paola, 2021. "Dynamic oligopoly pricing with reference-price effects," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1006-1016.
    9. Ma, Peng & Gong, Yeming & Mirchandani, Prakash, 2020. "Trade-in for remanufactured products: Pricing with double reference effects," International Journal of Production Economics, Elsevier, vol. 230(C).
    10. Lin, Zhibing, 2016. "Price promotion with reference price effects in supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 52-68.
    11. Régis Chenavaz, 2017. "Dynamic quality policies with reference quality effects," Applied Economics, Taylor & Francis Journals, vol. 49(32), pages 3156-3162, July.
    12. Chenavaz, Régis, 2016. "Dynamic pricing with reference price dependence," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 10, pages 1-17.
    13. M. Güler & Taner Bilgiç & Refik Güllü, 2015. "Joint pricing and inventory control for additive demand models with reference effects," Annals of Operations Research, Springer, vol. 226(1), pages 255-276, March.
    14. Xin Chen & Peng Hu & Stephen Shum & Yuhan Zhang, 2016. "Dynamic Stochastic Inventory Management with Reference Price Effects," Operations Research, INFORMS, vol. 64(6), pages 1529-1536, December.
    15. Arnoud V. den Boer & N. Bora Keskin, 2022. "Dynamic Pricing with Demand Learning and Reference Effects," Management Science, INFORMS, vol. 68(10), pages 7112-7130, October.
    16. Chenavaz, Régis & Paraschiv, Corina, 2018. "Dynamic pricing for inventories with reference price effects," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-16.
    17. Zhaofu Hong & Hao Wang & Yeming Gong, 2019. "Green product design considering functional-product reference," Post-Print hal-02312293, HAL.
    18. Lihao Lu & Qinglong Gou & Wansheng Tang & Jianxiong Zhang, 2016. "Joint pricing and advertising strategy with reference price effect," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5250-5270, September.
    19. Bertrand Crettez & Naila Hayek & Georges Zaccour, 2020. "Existence and characterization of optimal dynamic pricing strategies with reference-price effects," 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 441-459, June.
    20. Martín-Herrán, Guiomar & Taboubi, Sihem, 2015. "Price coordination in distribution channels: A dynamic perspective," European Journal of Operational Research, Elsevier, vol. 240(2), pages 401-414.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:complx:9712626. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.