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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 502))

Abstract

In this paper, we introduce the third firm into the original market, and continue to analyze the pricing game of three and the equilibrium of dynamic pricing that three firms achieve. We choose to set the case into a pricing game in the expanding Hotelling model. Through the analysis and comparison, we conclude that firms which implement dynamic pricing based on price discrimination will be better off than those not. In addition, we can reach a crucial conclusion that the firm which embraces a strong power of monopoly advantage and charges a higher price in the duopoly market is sure to make more profits through dynamic pricing based on price discrimination no matter in duopoly market or where added the third side, while other firms will make less profit in the pricing game undoubtedly.

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References

  1. Anderson S (1987) Spatial competition and price leadership. Int J Ind Org 5(4):369–398

    Article  Google Scholar 

  2. Balvers R, Szerb L (1996) Location in the hotelling duopoly model with demand uncertainty. Eur Econ Rev 40(7):1453–1461

    Article  Google Scholar 

  3. Bass FM (1969) A new product growth for model consumer durables. Manag Sci 15:215–227

    Article  Google Scholar 

  4. Bester H, Petrakis E (1995) Price competition and advertising in oligopoly. Eur Econ Rev 39(6):1075–1088

    Article  Google Scholar 

  5. Chen Y, Zhang ZJ (2009) Dynamic targeted pricing with strategic consumers. Int J Ind Org 27(1):43–50

    Article  Google Scholar 

  6. Clarke DG, Dolan RJ (1984) A simulation analysis of alternative pricing strategies for dynamic environments. J Bus S179–S200

    Google Scholar 

  7. Dang JF, Hong IH, Lin JM (2014) The cournot production game with multiple firms under an ambiguous decision environment. Inf Sci 266:186–198

    Article  Google Scholar 

  8. Elsadany AEA (2014) A dynamic cournot duopoly model with different strategies. J Egypt Math Soc 35(1):116–130

    Google Scholar 

  9. Fleckinger P, Lafay T (2010) Product flexibility and price competition in hotelling’s duopoly. Math Soc Sci 60(1):61–68

    Article  Google Scholar 

  10. Gokhale CS, Traulsen A (2011) Strategy abundance in evolutionary many-player games with multiple strategies. J Theor Biol 283(1):180–191

    Article  Google Scholar 

  11. Hotelling H (1929) Stability in competition. vol 39. Springer, Heidelberg

    Google Scholar 

  12. Kats A (1995) More on hotelling’s stability in competition. Int J Ind Org 13(1):89–93

    Article  Google Scholar 

  13. Levin Y, McGill J, Nediak M (2008) Risk in revenue management and dynamic pricing. Oper Res 56(2):326–343

    Article  Google Scholar 

  14. Levin Y, McGill J, Nediak M (2009) Dynamic pricing in the presence of strategic consumers and oligopolistic competition. Manag Sci 55(1):32–46

    Article  Google Scholar 

  15. Li H, Gan L, Zhou X (2014) Analysis of dynamic pricing based on price discrimination through two models. Int J Manag Sci Eng Manag 9(4):233–242

    Google Scholar 

  16. Liu Q, Zhang D (2013) Dynamic pricing competition with strategic customers under vertical product differentiation. Manag Sci 59(1):84–101

    Article  Google Scholar 

  17. Narasimhan C (1988) Competitive promotional strategies. J Bus 427–449

    Google Scholar 

  18. Osborne MJ, Pitchik C (1987) Equilibrium in hotelling’s model of spatial competition. Econ J Econ Soc 55:911–922

    Google Scholar 

  19. Raju JS, Srinivasan V, Lal R (1990) The effects of brand loyalty on competitive price promotional strategies. Manag Sci 36(3):276–304

    Article  Google Scholar 

  20. Robinson B, Lakhani C (1975) Dynamic price models for new-product planning. Manag Sci 21(10):1113–1122

    Article  Google Scholar 

  21. Sato K, Sawaki K (2013) A continuous-time dynamic pricing model knowing the competitor’s pricing strategy. Eur J Oper Res 229(1):223–229

    Article  Google Scholar 

  22. Şen A (2013) A comparison of fixed and dynamic pricing policies in revenue management. Omega 41(3):586–597

    Article  Google Scholar 

  23. Van den Berg A, Bos I et al (2012) Dynamic cournot duopoly with intertemporal capacity constraints. Int J Ind Org 30(2):174–192

    Article  Google Scholar 

  24. Von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton

    Google Scholar 

  25. Wen Q, Fang H (2012) Analysis on the dynamic game model of smes group loans. Advan Appl Econ Financ 2(4):437–441

    Google Scholar 

  26. Xu H (2011) Study on investor protection under full circulation of stocks: analysis based on tripartite game among controlling shareholders, minority shareholders and managers. J Financ Econ 31:71–79

    Google Scholar 

  27. Xu A, Hu X, Gao S (2012) A three-player game analysis among governments, enterprises and consumers in the green supply chain of the home appliance industry. Sci Technol Manag Res 3:236–240

    Google Scholar 

  28. Yin S, Nishi T, Zhang G (2013) A game theoretic model to manufacturing planning with single manufacturer and multiple suppliers with asymmetric quality information. Procedia CIRP 7:115–120

    Article  Google Scholar 

  29. Zhao J (1992) The hybrid solutions of an n-person game. Games Econ Behav 4(1):145–160

    Google Scholar 

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Acknowledgments

Supported was provided by the National Natural Science Foundation of China (Grant No. 71401093) and the Fundamental Research Funds for the Central Universities (Grant No. 14SZYB08).

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Correspondence to Yan Tu .

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Zhou, X., Zhao, C., Li, H., Tu, Y. (2017). Hotelling Model Based Dynamic Pricing of Three Sides. In: Xu, J., Hajiyev, A., Nickel, S., Gen, M. (eds) Proceedings of the Tenth International Conference on Management Science and Engineering Management. Advances in Intelligent Systems and Computing, vol 502. Springer, Singapore. https://doi.org/10.1007/978-981-10-1837-4_9

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  • DOI: https://doi.org/10.1007/978-981-10-1837-4_9

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1836-7

  • Online ISBN: 978-981-10-1837-4

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