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A dynamic game analysis of Internet services with network externalities

Author

Listed:
  • Tatsuhiro Shichijo

    (Osaka Prefecture University)

  • Emiko Fukuda

    (Tokyo Institute of Technology)

Abstract

Internet services, such as review sites, FAQ sites, online auction sites, online flea markets, and social networking services, are essential to our daily lives. Each Internet service aims to promote information exchange among people who share common interests, activities, or goods. Internet service providers aim to have users of their services actively communicate through their services. Without active interaction, the service falls into disuse. In this study, we consider that an Internet service has a network externality as its main feature, and we model user behavior in the Internet service with network externality (ISNE) as a dynamic game. In particular, we model the diffusion process of users of an ISNE as an infinite-horizon extensive-form game of complete information in which: (1) each user can choose whether or not to use the ISNE in her/his turn and (2) the network effect of the ISNE depends on the history of each player’s actions. We then apply Markov perfect equilibrium to analyze how to increase the number of active users. We derive the necessary and sufficient condition under which the state in which every player is an active user is the unique Markov perfect equilibrium outcome. Moreover, we propose an incentive mechanism that enables the number of active users to increase steadily.

Suggested Citation

  • Tatsuhiro Shichijo & Emiko Fukuda, 2019. "A dynamic game analysis of Internet services with network externalities," Theory and Decision, Springer, vol. 86(3), pages 361-388, May.
  • Handle: RePEc:kap:theord:v:86:y:2019:i:3:d:10.1007_s11238-019-09686-8
    DOI: 10.1007/s11238-019-09686-8
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    as
    1. Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014. "Strategic Interaction and Networks," American Economic Review, American Economic Association, vol. 104(3), pages 898-930, March.
    2. Joseph Farrell & Garth Saloner, 1985. "Standardization, Compatibility, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 70-83, Spring.
    3. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    4. Ochs, Jack & Park, In-Uck, 2010. "Overcoming the coordination problem: Dynamic formation of networks," Journal of Economic Theory, Elsevier, vol. 145(2), pages 689-720, March.
    5. Sebastiano A. Delre & Wander Jager & Marco A. Janssen, 2007. "Diffusion dynamics in small-world networks with heterogeneous consumers," Computational and Mathematical Organization Theory, Springer, vol. 13(2), pages 185-202, June.
    6. Zhang, Yang & Du, Xiaomin, 2017. "Network effects on strategic interactions: A laboratory approach," Journal of Economic Behavior & Organization, Elsevier, vol. 143(C), pages 133-146.
    7. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    8. Jeffrey Rohlfs, 1974. "A Theory of Interdependent Demand for a Communications Service," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 16-37, Spring.
    9. Dou, Wenyu & Ghose, Sanjoy, 2006. "A dynamic nonlinear model of online retail competition using Cusp Catastrophe Theory," Journal of Business Research, Elsevier, vol. 59(7), pages 838-848, July.
    10. Uchida, Makoto & Shirayama, Susumu, 2008. "Influence of a network structure on the network effect in the communication service market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5303-5310.
    11. Belhaj, Mohamed & Bramoullé, Yann & Deroïan, Frédéric, 2014. "Network games under strategic complementarities," Games and Economic Behavior, Elsevier, vol. 88(C), pages 310-319.
    12. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-131, March.
    13. Shichijo Tatsuhiro & Nakayama Yuji, 2009. "A Two-Step Subsidy Scheme to Overcome Network Externalities in a Dynamic Game," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-20, February.
    14. Bloch, Francis & Quérou, Nicolas, 2013. "Pricing in social networks," Games and Economic Behavior, Elsevier, vol. 80(C), pages 243-261.
    15. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    16. Ozan Candogan & Kostas Bimpikis & Asuman Ozdaglar, 2012. "Optimal Pricing in Networks with Externalities," Operations Research, INFORMS, vol. 60(4), pages 883-905, August.
    17. Gale, Douglas, 1995. "Dynamic Coordination Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 1-18, January.
    18. repec:hal:pseose:hal-01013603 is not listed on IDEAS
    19. Aoyagi, Masaki, 2013. "Coordinating adoption decisions under externalities and incomplete information," Games and Economic Behavior, Elsevier, vol. 77(1), pages 77-89.
    20. Heinrich, Torsten, 2015. "A Discontinuity Model of Technological Change: Catastrophe Theory and Network Structure," MPRA Paper 68089, University Library of Munich, Germany.
    21. David, Paul A, 1985. "Clio and the Economics of QWERTY," American Economic Review, American Economic Association, vol. 75(2), pages 332-337, May.
    22. Brian Arthur, W. & Ermoliev, Yu. M. & Kaniovski, Yu. M., 1987. "Path-dependent processes and the emergence of macro-structure," European Journal of Operational Research, Elsevier, vol. 30(3), pages 294-303, June.
    23. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    24. Dosi, Giovanni & Ermoliev, Yuri & Kaniovski, Yuri, 1994. "Generalized urn schemes and technological dynamics," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 1-19, January.
    25. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    Full references (including those not matched with items on IDEAS)

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