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Stochastic Dynamic Pricing with Waiting and Forward-Looking Consumers

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Operations Research and Enterprise Systems (ICORES 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1162))

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Abstract

Many customers act strategically by checking offer prices multiple times and by anticipating future prices in order to optimize their surplus. In this context, customers base the timing of their purchase decisions on historical reference prices and their individual reservation prices. As customers’ reservation prices are not observable it is challenging for sellers to derive optimized pricing strategies. We present a stochastic dynamic finite horizon framework to compute price adjustments that account for strategic customers, that recur and anticipate future prices using observed reference prices. We show how iteratively derive reference prices that are consistent with the observed offer prices of a seller’s optimized feedback pricing strategy. We study how expected profits and the evolution of sales are affected by different strategic behaviors. We find that, on average, a recurring customer behavior leads to higher average prices, delayed sales, and increased profits. For the seller, the presence of forward-looking customers has opposing but less intense effects. For the customers, we find that recurring behaviors are not beneficial but can be overcompensated by forward-looking behaviors.

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References

  1. Chen, M., Chen, Z.L.: Recent developments in dynamic pricing research: multiple products, competition, and limited demand information. Prod. Oper. Manag. 24(5), 704–731 (2015)

    Article  Google Scholar 

  2. Chenavaz, R., Paraschiv, C.: Dynamic pricing for inventories with reference price effects. Econ. E-J. 12(64), 1–16 (2018)

    Google Scholar 

  3. Coase, R.H.: Durability and monopoly. J. Law Econ. 15(1), 143–149 (1972)

    Article  Google Scholar 

  4. Goensch, J., Klein, R., Neugebauer, M., Steinhardt, C.: Dynamic pricing with strategic customers. J. Bus. Econ. 83(5), 505–549 (2013)

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  7. Phillips, R.L.: Pricing and Revenue Optimization. Stanford University Press, Palo Alto (2005)

    Google Scholar 

  8. Popescu, I., Wu, Y.: Dynamic pricing strategies with reference effects. Oper. Res. 55(3), 413–429 (2007)

    Article  MathSciNet  Google Scholar 

  9. Schlosser, R.: Stochastic dynamic pricing with strategic customers and reference price effects. In: International Conference on Operations Research and Enterprise Systems, pp. 179–188 (2019)

    Google Scholar 

  10. Schlosser, R., Boissier, M.: Dealing with the dimensionality curse in dynamic pricing competition: using frequent repricing to compensate imperfect market anticipations. Comput. Oper. Res. 100, 26–42 (2018)

    Article  MathSciNet  Google Scholar 

  11. Schlosser, R., Boissier, M.: Dynamic pricing under competition on online marketplaces: a data-driven approach. In: 24th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining 2018 (KDD 2018), pp. 705–714 (2018)

    Google Scholar 

  12. Schlosser, R., Richly, K.: Dynamic pricing competition with unobservable inventory levels: a hidden Markov model approach. In: Parlier, G.H., Liberatore, F., Demange, M. (eds.) ICORES 2018. CCIS, vol. 966, pp. 15–36. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-16035-7_2

    Chapter  Google Scholar 

  13. Su, X.: Intertemporal pricing with strategic customer behavior. Manag. Sci. 53(5), 726–741 (2007)

    Article  Google Scholar 

  14. Talluri, K.T., Van Ryzin, G.J.: The Theory and Practice of Revenue Management, vol. 68. Springer, Heidelberg (2004). https://doi.org/10.1007/b139000

    Book  MATH  Google Scholar 

  15. Wei, M.M., Zhang, F.: Recent research developments of strategic consumer behavior in operations management. Comput. Oper. Res. 93(5), 166–176 (2018)

    Article  MathSciNet  Google Scholar 

  16. Wu, L.L.B., Wu, D.: Dynamic pricing and risk analytics under competition and stochastic reference price effects. IEEE Trans. Ind. Inf. 12(3), 1282–1293 (2016)

    Article  Google Scholar 

  17. Wu, S., Liu, Q., Zhang, R.Q.: The reference effects on a retailers dynamic pricing and inventory strategies with strategic consumers. Oper. Res. 63(6), 1320–1335 (2015)

    Article  MathSciNet  Google Scholar 

  18. Yeoman, I., McMahon-Beattie, U.: Revenue Management: A Practical Pricing Perspective. Palgrave Macmillan, London (2011). Springer

    Book  Google Scholar 

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Correspondence to Rainer Schlosser .

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Table 5. Notation table.

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Schlosser, R. (2020). Stochastic Dynamic Pricing with Waiting and Forward-Looking Consumers. In: Parlier, G., Liberatore, F., Demange, M. (eds) Operations Research and Enterprise Systems. ICORES 2019. Communications in Computer and Information Science, vol 1162. Springer, Cham. https://doi.org/10.1007/978-3-030-37584-3_3

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  • DOI: https://doi.org/10.1007/978-3-030-37584-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-37583-6

  • Online ISBN: 978-3-030-37584-3

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