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Pricing and referrals in diffusion on networks

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  • Leduc, Matt V.
  • Jackson, Matthew O.
  • Johari, Ramesh

Abstract

When a new product or technology is introduced, potential consumers can learn its quality by trying it, at a risk, or by letting others try it and free-riding on the information that they generate. We propose a dynamic game to study the adoption of technologies of uncertain value, when agents are connected by a network and a monopolist seller chooses a profit-maximizing policy. Consumers with low degree (few friends) have incentives to adopt early, while consumers with high degree have incentives to free ride. The seller can induce high-degree consumers to adopt early by offering referral incentives – rewards to early adopters whose friends buy in the second period. Referral incentives thus lead to a ‘double-threshold strategy’ by which low and high-degree agents adopt the product early while middle-degree agents wait. We show that referral incentives are optimal on certain networks while inter-temporal price discrimination is optimal on others.

Suggested Citation

  • Leduc, Matt V. & Jackson, Matthew O. & Johari, Ramesh, 2017. "Pricing and referrals in diffusion on networks," Games and Economic Behavior, Elsevier, vol. 104(C), pages 568-594.
  • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:568-594
    DOI: 10.1016/j.geb.2017.05.011
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    2. Ishita Chakraborty & Joyee Deb & Aniko Oery, 2020. "When Do Consumers Talk?," Cowles Foundation Discussion Papers 2254R, Cowles Foundation for Research in Economics, Yale University, revised Mar 2021.
    3. Arthur Campbell & C. Matthew Leister & Yves Zenou, 2020. "Word‐of‐mouth communication and search," RAND Journal of Economics, RAND Corporation, vol. 51(3), pages 676-712, September.
    4. Li, Yongli & Luo, Peng & Pin, Paolo, 2021. "Link value, market scenario and referral networks," Journal of Economic Behavior & Organization, Elsevier, vol. 181(C), pages 135-155.
    5. Andrea Galeotti & Benjamin Golub & Sanjeev Goyal, 2020. "Targeting Interventions in Networks," Econometrica, Econometric Society, vol. 88(6), pages 2445-2471, November.
    6. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2021. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Dynamic Games and Applications, Springer, vol. 11(3), pages 463-490, September.
    7. Andrea Galeotti & Benjamin Golub & Sanjeev Goyal & Eduard Talam`as & Omer Tamuz, 2021. "Taxes and Market Power: A Principal Components Approach," Papers 2112.08153, arXiv.org, revised Jun 2022.
    8. Yuichiro Kamada & Aniko Öry, 2020. "Contracting with Word-of-Mouth Management," Management Science, INFORMS, vol. 66(11), pages 5094-5107, November.
    9. Elias Carroni & Paolo Pin & Simone Righi, 2020. "Bring a Friend! Privately or Publicly?," Management Science, INFORMS, vol. 66(5), pages 2269-2290, May.
    10. Xintong Han & Pu Zhao, 2019. "Pay for Content or Pay for Marketing? An Empirical Study on Content Pricing," Working Papers 19-03, NET Institute.
    11. Chen, Ying-Ju & Zenou, Yves & Zhou, Junjie, 2022. "The impact of network topology and market structure on pricing," Journal of Economic Theory, Elsevier, vol. 204(C).
    12. Jadbabaie, Ali & Kakhbod, Ali, 2019. "Optimal contracting in networks," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1094-1153.
    13. Wang, Ge & Zhang, Qi & Li, Yan & Li, Hailong, 2018. "Policy simulation for promoting residential PV considering anecdotal information exchanges based on social network modelling," Applied Energy, Elsevier, vol. 223(C), pages 1-10.
    14. Ishita Chakraborty & Joyee Deb & Aniko Oery, 2020. "When Do Consumers Talk?," Cowles Foundation Discussion Papers 2254R2, Cowles Foundation for Research in Economics, Yale University, revised Jun 2022.
    15. Yang Zhang & Ying-Ju Chen, 2020. "Optimal Nonlinear Pricing in Social Networks Under Asymmetric Network Information," Operations Research, INFORMS, vol. 68(3), pages 818-833, May.
    16. Duan, Yongrui & Feng, Yixuan, 2021. "Optimal pricing in social networks considering reference price effect," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    17. Gong, Qingbin & Diao, Xundi, 2023. "The impacts of investor network and herd behavior on market stability: Social learning, network structure, and heterogeneity," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1388-1398.
    18. Zenou, Yves & Chen, Ying-Ju & Zhou, Junjie, 2020. "Network Topology and Market Structure," CEPR Discussion Papers 14495, C.E.P.R. Discussion Papers.
    19. Vahideh Manshadi & Sidhant Misra & Scott Rodilitz, 2020. "Diffusion in Random Networks: Impact of Degree Distribution," Operations Research, INFORMS, vol. 68(6), pages 1722-1741, November.
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    22. Antonio Jiménez-Martínez, 2019. "Discrimination through versioning with advertising in social networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 525-564, April.

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    More about this item

    Keywords

    Network games; Technology adoption; Social learning; Word-of-mouth; Network diffusion; Dynamic pricing; Referral incentives;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies

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