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A Dynamics for Advertising on Networks

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Web and Internet Economics (WINE 2017)

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Abstract

We study the following question facing businesses in the world of online advertising: how should an advertising budget be spent when there are competing products? Broadly, there are two primary modes of advertising: (i) the equivalent of billboards in the real-world and (search or display) ads online that convert a percentage of the population that sees them, and (ii) social campaigns where the goal is to select a set of initial adopters who influence others to buy via their social network. Prior work towards the above question has largely focused on developing models to understand the effect of one mode or the other. We present a stochastic dynamics to model advertising in social networks that allows both and incorporates the three primary forces at work in such advertising campaigns: (1) the type of campaign – which can combine buying ads and seed selection, (2) the topology of the social network, and (3) the relative quality of the competing products. This model allows us to study the evolution of market share of multiple products with different qualities competing for the same set of users, and the effect that different advertising campaigns can have on the market share. We present theoretical results to understand the long-term behavior of the parameters on the market share and complement them with empirical results that give us insights about the, harder to mathematically understand, short-term behavior of the model.

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Notes

  1. 1.

    We can think of one products as the “null” choice – i.e., no product is selected.

  2. 2.

    For example, for products such as cars, time steps may be on the order of years. Hence, we may be interested in a constant number of time steps, which is less than the fastest mixing time we could hope for.

  3. 3.

    The choice of parameters is inspired by the parameters we get when a fitting our model to real world datasets; see the full version of the paper.

References

  1. Bass, F.M.: A new product growth model for consumer durables. Manag. Sci. 15(5), 215–227 (1969)

    Article  MATH  Google Scholar 

  2. Benaïm, M.: Dynamics of stochastic approximation algorithms. In: Azéma, J., Émery, M., Ledoux, M., Yor, M. (eds.) Séminaire de Probabilités XXXIII. LNM, vol. 1709, pp. 1–68. Springer, Heidelberg (1999). https://doi.org/10.1007/BFb0096509

    Chapter  Google Scholar 

  3. Van den Bulte, C., Joshi, Y.V.: New product diffusion with influentials and imitators. Mark. Sci. 26(3), 400–421 (2007)

    Article  Google Scholar 

  4. Chazelle, B.: The dynamics of influence systems. In: 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science (FOCS), pp. 311–320. IEEE (2012)

    Google Scholar 

  5. Díaz, J., Goldberg, L.A., Mertzios, G.B., Richerby, D., Serna, M., Spirakis, P.G.: Approximating fixation probabilities in the generalized moran process. Algorithmica 69(1), 78–91 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Dixit, N., Srivastava, P., Vishnoi, N.K.: A finite population model of molecular evolution: theory and computation. J. Comput. Biol. 19(10), 1176–1202 (2012)

    Article  MathSciNet  Google Scholar 

  7. Easley, D., Kleinberg, J.: Networks, Crowds, and Markets. Cambridge University Press, Cambridge (2010)

    Book  MATH  Google Scholar 

  8. Efthymiou, C., Hayes, T.P., Stefankovic, D., Vigoda, E., Yin, Y.: Convergence of MCMC and loopy BP in the tree uniqueness region for the hard-core model. In: IEEE 57th Annual Symposium on Foundations of Computer Science, FOCS 2016, 9–11 October 2016, Hyatt Regency, New Brunswick, New Jersey, USA, pp. 704–713 (2016). https://doi.org/10.1109/FOCS.2016.80

  9. Galeotti, A., Goyal, S.: Influencing the influencers: a theory of strategic diffusion. RAND J. Econ. 40(3), 509–532 (2009)

    Article  Google Scholar 

  10. Granovetter, M.: Threshold models of collective behavior. Am. J. Sociol. 83(6), 1420–1443 (1978)

    Article  Google Scholar 

  11. Herr, P.M., Kardes, F.R., Kim, J.: Effects of word-of-mouth and product-attribute information on persuasion: an accessibility-diagnosticity perspective. J. Consum. Res. 17(4), 454–462 (1991)

    Article  Google Scholar 

  12. Hinz, O., Skiera, B., Barrot, C., Becker, J.U.: Seeding strategies for viral marketing: an empirical comparison. J. Mark. 75(6), 55–71 (2011)

    Article  Google Scholar 

  13. Iyer, G., Soberman, D., Villas-Boas, J.M.: The targeting of advertising. Mark. Sci. 24(3), 461–476 (2005)

    Article  Google Scholar 

  14. Jain, D., Mahajan, V., Muller, E.: An approach for determining optimal product sampling for the diffusion of a new product. J. Prod. Innov. Manag. 12(2), 124–135 (1995)

    Article  Google Scholar 

  15. Kempe, D., Kleinberg, J., Tardos, É.: Maximizing the spread of influence through a social network. In: The 9th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 137–146. ACM (2003)

    Google Scholar 

  16. Leskovec, J., Krevl, A.: SNAP Datasets, June 2014. http://snap.stanford.edu/data

  17. Lieberman, E., Hauert, C., Nowak, M.A.: Evolutionary dynamics on graphs. Nature 433(7023), 312–316 (2005)

    Article  Google Scholar 

  18. Lohtia, R., Donthu, N., Hershberger, E.K.: The impact of content and design elements on banner advertising click-through rates. J. Advertising Res. 43(04), 410–418 (2003)

    Article  Google Scholar 

  19. Marsden, P.V., Friedkin, N.E.: Network studies of social influence. Sociol. Methods Res. 22(1), 127–151 (1993)

    Article  Google Scholar 

  20. Nowak, M.A.: Evolutionary Dynamics. Harvard University Press, Cambridge (2006)

    MATH  Google Scholar 

  21. Palmeri, C.: Online ad spending to pass tv spots this year, consultant says (2015). http://bloom.bg/1dJ99Zf

  22. Palmeri, C.: Social network ad spending to hit $23.68 billion worldwide (2015). http://bit.ly/2fng5yU

  23. Pemantle, R.: When are touchpoints limits for generalized pólya urns? Proc. Am. Math. Soc. 113, 235–243 (1991)

    MATH  Google Scholar 

  24. Schelling, T.C.: Micromotives and Macrobehavior. WW Norton and Company, New York City (1978)

    Google Scholar 

  25. Scott, D.M.: The New Rules of Marketing and PR: How to Use Social Media, Online Video, Mobile Applications, Blogs, News Releases, and Viral Marketing to Reach Buyers Directly. John Wiley and Sons, Hoboken (2013)

    Google Scholar 

  26. Shy, O.: The Economics of Network Industries. Cambridge University Press, Cambridge (2001)

    Book  Google Scholar 

  27. Tripathi, K., Balagam, R., Vishnoi, N.K., Dixit, N.M.: Stochastic simulations suggest that HIV-1 survives close to its error threshold. PLoS Comput. Biol. 8(9), e1002684 (2012)

    Article  MathSciNet  Google Scholar 

  28. Vishnoi, N.K.: The speed of evolution. In: Symposium on Discrete Algorithms (SODA), pp. 1590–1601 (2015)

    Google Scholar 

  29. Vranica, S.: IBM pours $100 million into ad consulting (2014). http://on.wsj.com/1dxVhzI

  30. Weaver, O.: How to set social advertising goals (2015). http://bit.ly/1yAseR5

  31. Wormald, N.C.: Differential equations for random processes and random graphs. Ann. Appl. Probab. 5(4), 1217–1235 (1995)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to L. Elisa Celis .

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Celis, L.E., Dalirrooyfard, M., Vishnoi, N.K. (2017). A Dynamics for Advertising on Networks. In: R. Devanur, N., Lu, P. (eds) Web and Internet Economics. WINE 2017. Lecture Notes in Computer Science(), vol 10660. Springer, Cham. https://doi.org/10.1007/978-3-319-71924-5_7

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  • DOI: https://doi.org/10.1007/978-3-319-71924-5_7

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