IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v104y2017icp568-594.html
   My bibliography  Save this article

Pricing and referrals in diffusion on networks

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825617300957
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2017.05.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Joseph Farrell & Garth Saloner, 1985. "Standardization, Compatibility, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 70-83, Spring.
    2. Ying‐Ju Chen & Yves Zenou & Junjie Zhou, 2018. "Competitive pricing strategies in social networks," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 672-705, September.
    3. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    4. Pekka S��skilahti, 2015. "Monopoly Pricing of Social Goods," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 22(3), pages 429-448, November.
    5. Matthew O. Jackson & Leeat Yariv, 2007. "Diffusion of Behavior and Equilibrium Properties in Network Games," American Economic Review, American Economic Association, vol. 97(2), pages 92-98, May.
    6. Chamley, Christophe, 2004. "Delays and equilibria with large and small information in social learning," European Economic Review, Elsevier, vol. 48(3), pages 477-501, June.
    7. Bloch, Francis & Quérou, Nicolas, 2013. "Pricing in social networks," Games and Economic Behavior, Elsevier, vol. 80(C), pages 243-261.
    8. Ozan Candogan & Kostas Bimpikis & Asuman Ozdaglar, 2012. "Optimal Pricing in Networks with Externalities," Operations Research, INFORMS, vol. 60(4), pages 883-905, August.
    9. Lewis, Tracy R & Sappington, David E M, 1994. "Supplying Information to Facilitate Price Discrimination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 309-327, May.
    10. Arthur Campbell, 2013. "Word-of-Mouth Communication and Percolation in Social Networks," American Economic Review, American Economic Association, vol. 103(6), pages 2466-2498, October.
    11. Heski Bar‐Isaac & Guillermo Caruana & Vicente Cuñat, 2010. "Information Gathering and Marketing," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(2), pages 375-401, June.
    12. John G. Riley, 2001. "Silver Signals: Twenty-Five Years of Screening and Signaling," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 432-478, June.
    13. Nocke, Volker & Peitz, Martin & Rosar, Frank, 2011. "Advance-purchase discounts as a price discrimination device," Journal of Economic Theory, Elsevier, vol. 146(1), pages 141-162, January.
    14. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
    15. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
    16. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    17. Shin, Euncheol, 2017. "Monopoly pricing and diffusion of social network goods," Games and Economic Behavior, Elsevier, vol. 102(C), pages 162-178.
    18. Chamley, Christophe & Gale, Douglas, 1994. "Information Revelation and Strategic Delay in a Model of Investment," Econometrica, Econometric Society, vol. 62(5), pages 1065-1085, September.
    19. Gul, Faruk & Lundholm, Russell, 1995. "Endogenous Timing and the Clustering of Agents' Decisions," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 1039-1066, October.
    20. Itay P. Fainmesser & Andrea Galeotti, 2016. "Pricing Network Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(1), pages 165-198.
    21. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    22. Leduc, Matt V. & Momot, Ruslan, 2017. "Strategic investment in protection in networked systems," Network Science, Cambridge University Press, vol. 5(1), pages 108-139, March.
    23. repec:hal:pseose:hal-01013603 is not listed on IDEAS
    24. Shlomo Kalish, 1985. "A New Product Adoption Model with Price, Advertising, and Uncertainty," Management Science, INFORMS, vol. 31(12), pages 1569-1585, December.
    25. Dana, James D, Jr, 2001. "Monopoly Price Dispersion under Demand Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 649-670, August.
    26. Adlakha, Sachin & Johari, Ramesh & Weintraub, Gabriel Y., 2015. "Equilibria of dynamic games with many players: Existence, approximation, and market structure," Journal of Economic Theory, Elsevier, vol. 156(C), pages 269-316.
    27. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Feng Zhu & Xinxin Li & Ehsan Valavi & Marco Iansiti, 2021. "Network Interconnectivity and Entry into Platform Markets," Information Systems Research, INFORMS, vol. 32(3), pages 1009-1024, September.
    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. Foerster, Manuel & Hellmann, Tim & Vega-Redondo, Fernando, 2024. "Strategic use of social media influencer marketing," UC3M Working papers. Economics 43985, Universidad Carlos III de Madrid. Departamento de Economía.
    15. 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.
    16. 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.
    17. Duan, Yongrui & Feng, Yixuan, 2021. "Optimal pricing in social networks considering reference price effect," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    18. 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.
    19. Zenou, Yves & Chen, Ying-Ju & Zhou, Junjie, 2020. "Network Topology and Market Structure," CEPR Discussion Papers 14495, C.E.P.R. Discussion Papers.
    20. Jeong, Seungwon (Eugene) & Lee, Joosung, 2024. "The groupwise-pivotal referral auction: Core-selecting referral strategy-proof mechanism," Games and Economic Behavior, Elsevier, vol. 143(C), pages 191-203.
    21. 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.
    22. Ren Wang & Jie Hou & Hui Song, 2020. "Use prices as sales agents," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(7), pages 1349-1364, October.
    23. Ishita Chakraborty & Joyee Deb & Aniko Oery, 2020. "When Do Consumers Talk?," Cowles Foundation Discussion Papers 2254R3, Cowles Foundation for Research in Economics, Yale University, revised Feb 2023.
    24. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Belhaj, Mohamed & Deroïan, Frédéric, 2021. "The value of network information: Assortative mixing makes the difference," Games and Economic Behavior, Elsevier, vol. 126(C), pages 428-442.
    2. 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.
    3. Elias Carroni & Paolo Pin & Simone Righi, 2020. "Bring a Friend! Privately or Publicly?," Management Science, INFORMS, vol. 66(5), pages 2269-2290, May.
    4. 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).
    5. Jadbabaie, Ali & Kakhbod, Ali, 2019. "Optimal contracting in networks," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1094-1153.
    6. Duan, Yongrui & Feng, Yixuan, 2021. "Optimal pricing in social networks considering reference price effect," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    7. Mohamed Belhaj & Frédéric Deroïan, 2016. "The Value of Network Information: Assortative Mixing Makes the Difference," AMSE Working Papers 1618, Aix-Marseille School of Economics, France, revised 11 May 2016.
    8. Tavasoli, Ali & Fazli, Mehrdad & Ardjmand, Ehsan & Young, William A. & Shakeri, Heman, 2023. "Competitive pricing under local network effects," European Journal of Operational Research, Elsevier, vol. 311(2), pages 545-566.
    9. Ostrizek, Franz & Sartori, Elia, 2023. "Screening while controlling an externality," Games and Economic Behavior, Elsevier, vol. 139(C), pages 26-55.
    10. Aoyagi, Masaki, 2018. "Bertrand competition under network externalities," Journal of Economic Theory, Elsevier, vol. 178(C), pages 517-550.
    11. Antonio Jiménez-Martínez & Óscar González-Guerra, 2016. "Discrimination through "Versioning" with Advertising in Random Networks," Working Papers DTE 600, CIDE, División de Economía.
    12. Bruno Jullien & Alessandro Pavan & Marc Rysman, 2021. "Two-sided markets, pricing, and network effects," Post-Print hal-03828345, HAL.
    13. 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.
    14. 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.
    15. Ming Hu & Zizhuo Wang & Yinbo Feng, 2020. "Information Disclosure and Pricing Policies for Sales of Network Goods," Operations Research, INFORMS, vol. 68(4), pages 1162-1177, July.
    16. 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.
    17. Nocke, Volker & Peitz, Martin & Rosar, Frank, 2011. "Advance-purchase discounts as a price discrimination device," Journal of Economic Theory, Elsevier, vol. 146(1), pages 141-162, January.
    18. Antonio Jimenez-Martinez, 2019. "Versioning and advertising in social networks: uniform distributions of valuations," Economics Bulletin, AccessEcon, vol. 39(1), pages 480-494.
    19. Marc Möller & Makoto Watanabe, 2016. "Competition in the presence of individual demand uncertainty," RAND Journal of Economics, RAND Corporation, vol. 47(2), pages 273-292, May.
    20. Panebianco, Fabrizio & Verdier, Thierry & Zenou, Yves, 2016. "Innovation, Pricing and Targeting in Networks," CEPR Discussion Papers 11398, C.E.P.R. Discussion Papers.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:568-594. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.