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Non-cooperative competition among revenue maximizing service providers with demand learning

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  • Kwon, Changhyun
  • Friesz, Terry L.
  • Mookherjee, Reetabrata
  • Yao, Tao
  • Feng, Baichun

Abstract

This paper recognizes that in many decision environments in which revenue optimization is attempted, an actual demand curve and its parameters are generally unobservable. Herein, we describe the dynamics of demand as a continuous time differential equation based on an evolutionary game theory perspective. We then observe realized sales data to obtain estimates of parameters that govern the evolution of demand; these are refined on a discrete time scale. The resulting model takes the form of a differential variational inequality. We present an algorithm based on a gap function for the differential variational inequality and report its numerical performance for an example revenue optimization problem.

Suggested Citation

  • Kwon, Changhyun & Friesz, Terry L. & Mookherjee, Reetabrata & Yao, Tao & Feng, Baichun, 2009. "Non-cooperative competition among revenue maximizing service providers with demand learning," European Journal of Operational Research, Elsevier, vol. 197(3), pages 981-996, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:3:p:981-996
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    References listed on IDEAS

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    Cited by:

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    2. Ruben Geer & Arnoud V. Boer & Christopher Bayliss & Christine S. M. Currie & Andria Ellina & Malte Esders & Alwin Haensel & Xiao Lei & Kyle D. S. Maclean & Antonio Martinez-Sykora & Asbjørn Nilsen Ris, 2019. "Dynamic pricing and learning with competition: insights from the dynamic pricing challenge at the 2017 INFORMS RM & pricing conference," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 18(3), pages 185-203, June.
    3. Ruben van de Geer & Arnoud V. den Boer & Christopher Bayliss & Christine Currie & Andria Ellina & Malte Esders & Alwin Haensel & Xiao Lei & Kyle D. S. Maclean & Antonio Martinez-Sykora & Asbj{o}rn Nil, 2018. "Dynamic Pricing and Learning with Competition: Insights from the Dynamic Pricing Challenge at the 2017 INFORMS RM & Pricing Conference," Papers 1804.03219, arXiv.org.
    4. Chung, Sung H. & Weaver, Robert D. & Friesz, Terry L., 2012. "Oligopolies in pollution permit markets: A dynamic game approach," International Journal of Production Economics, Elsevier, vol. 140(1), pages 48-56.
    5. Philipp Bartke & Natalia Kliewer & Catherine Cleophas, 2018. "Benchmarking filter-based demand estimates for airline revenue management," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 7(1), pages 57-88, March.

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