IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v10y2019i4p44-d282710.html
   My bibliography  Save this article

Formation of Stable and Efficient Social Storage Cloud

Author

Listed:
  • Pramod C. Mane

    (Computer Science and Engineering, Indian Institute of Technology Indore, Indore 453552, India)

  • Nagarajan Krishnamurthy

    (Operations Management and Quantitative Techniques, Indian Institute of Management Indore, Indore 453556, India)

  • Kapil Ahuja

    (Computer Science and Engineering, Indian Institute of Technology Indore, Indore 453552, India)

Abstract

In this paper, we study the formation of endogenous social storage cloud in a dynamic setting, where rational agents build their data backup connections strategically. We propose a degree-distance-based utility model, which is a combination of benefit and cost functions. The benefit function of an agent captures the expected benefit that the agent obtains by placing its data on others’ storage devices, given the prevailing data loss rate in the network. The cost function of an agent captures the cost that the agent incurs to maintain links in the network. With this utility function, we analyze what network is likely to evolve when agents themselves decide with whom they want to form links and with whom they do not. Further, we analyze which networks are pairwise stable and efficient. We show that for the proposed utility function, there always exists a pairwise stable network, which is also efficient. We show that all pairwise stable networks are efficient, and hence, the price of anarchy is the best that is possible. We also study the effect of link addition and deletion between a pair of agents on their, and others’, closeness and storage availability.

Suggested Citation

  • Pramod C. Mane & Nagarajan Krishnamurthy & Kapil Ahuja, 2019. "Formation of Stable and Efficient Social Storage Cloud," Games, MDPI, vol. 10(4), pages 1-17, November.
  • Handle: RePEc:gam:jgames:v:10:y:2019:i:4:p:44-:d:282710
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/10/4/44/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2073-4336/10/4/44/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Christophe Bravard & Sudipta Sarangi & PHILIPP MÖHLMEIER & AGNIESZKA RUSINOWSKA & EMILY TANIMURA, 2016. "A Degree-Distance-Based Connections Model with Negative and Positive Externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 168-192, April.
    2. Kjell Hausken, 2017. "Information Sharing Among Cyber Hackers in Successive Attacks," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 1-33, June.
    3. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    4. Buechel Berno, 2009. "Network Formation with Closeness Incentives," Lecture Notes in Economics and Mathematical Systems, in: Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), Networks, Topology and Dynamics, pages 95-109, Springer.
    5. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    6. Philipp Moehlmeier & Agnieszka Rusinowska & Emily Tanimura, 2016. "A degree-distance-based connections model with negative and positive externalities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01301736, HAL.
    7. Eitan Altman & Hisao Kameda & Yoshihisa Hosokawa, 2002. "Nash Equilibria In Load Balancing In Distributed Computer Systems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 91-100.
    8. Robin Pilling & Shi Chung Chang & Peter B. Luh, 2017. "Shapley Value-Based Payment Calculation for Energy Exchange between Micro- and Utility Grids," Games, MDPI, vol. 8(4), pages 1-12, October.
    9. Demange,Gabrielle & Wooders,Myrna (ed.), 2005. "Group Formation in Economics," Cambridge Books, Cambridge University Press, number 9780521842716.
    10. Joaquin Sanchez-Soriano, 2013. "An Overview On Game Theory Applications To Engineering," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-18.
    11. Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), 2009. "Networks, Topology and Dynamics," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-68409-1, December.
    12. Marchiori, Massimo & Latora, Vito, 2000. "Harmony in the small-world," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(3), pages 539-546.
    13. Thayer Morrill, 2011. "Network formation under negative degree-based externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 367-385, May.
    14. Surajit Borkotokey & Loyimee Gogoi & Sudipta Sarangi, 2014. "A Survey of Player-based and Link-based Allocation Rules for Network Games," Studies in Microeconomics, , vol. 2(1), pages 5-26, June.
    15. Nageswara S. V. Rao & Chris Y. T. Ma & Fei He & David K. Y. Yau & Jun Zhuang, 2018. "Cyber–Physical Correlation Effects in Defense Games for Large Discrete Infrastructures," Games, MDPI, vol. 9(3), pages 1-24, July.
    16. Judith Timmer & Werner Scheinhardt, 2018. "Customer and Cost Sharing in a Jackson Network," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1-10, September.
    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. Pramod C. Mane & Nagarajan Krishnamurthy & Kapil Ahuja, 2023. "Resource availability in the social cloud: An economics perspective," Bulletin of Economic Research, Wiley Blackwell, vol. 75(2), pages 541-566, April.
    2. Pramod C. Mane & Nagarajan Krishnamurthy & Kapil Ahuja, 2021. "Resource Availability in the Social Cloud: An Economics Perspective," Papers 2102.01071, arXiv.org.

    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. Möhlmeier, Philipp & Rusinowska, Agnieszka & Tanimura, Emily, 2018. "Competition for the access to and use of information in networks," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 48-63.
    2. Chenghong Luo & Ana Mauleon & Vincent Vannetelbosch, 2021. "Network formation with myopic and farsighted players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1283-1317, June.
    3. Pramod C. Mane & Nagarajan Krishnamurthy & Kapil Ahuja, 2023. "Resource availability in the social cloud: An economics perspective," Bulletin of Economic Research, Wiley Blackwell, vol. 75(2), pages 541-566, April.
    4. Somayeh Koohborfardhaghighi & Jörn Altmann, 2015. "A Network Formation Model for Social Object Networks," Springer Books, in: Zhenji Zhang & Zuojun Max Shen & Juliang Zhang & Runtong Zhang (ed.), Liss 2014, edition 127, pages 615-625, Springer.
    5. Antoine Mandel & Xavier Venel, 2022. "Sequential competition and the strategic origins of preferential attachment," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 483-508, November.
    6. Foerster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent J., 2021. "Shadow links," Journal of Economic Theory, Elsevier, vol. 197(C).
      • FOERSTER Manuel, & MAULEON Ana, & VANNETELBOSCH Vincent,, 2018. "Shadow links," LIDAM Discussion Papers CORE 2018030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
      • Foerster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent, 2021. "Shadow links," LIDAM Reprints CORE 3171, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Messan Agbaglah, 2017. "Overlapping coalitions, bargaining and networks," Theory and Decision, Springer, vol. 82(3), pages 435-459, March.
    8. Ana Mauleon & Huasheng Song & Vincent Vannetelbosch, 2010. "Networks of Free Trade Agreements among Heterogeneous Countries," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(3), pages 471-500, June.
    9. Page Jr., Frank H. & Wooders, Myrna, 2009. "Strategic basins of attraction, the path dominance core, and network formation games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 462-487, May.
    10. Harmsen - van Hout, Marjolein J.W. & Herings, P. Jean-Jacques & Dellaert, Benedict G.C., 2013. "Communication network formation with link specificity and value transferability," European Journal of Operational Research, Elsevier, vol. 229(1), pages 199-211.
    11. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    12. Mohsen Mosleh & Peter Ludlow & Babak Heydari, 2016. "Distributed Resource Management in Systems of Systems: An Architecture Perspective," Systems Engineering, John Wiley & Sons, vol. 19(4), pages 362-374, July.
    13. PAPACCIO, Anna, 2013. "Bilateralism and Multilateralism: a Network Approach," CELPE Discussion Papers 125, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    14. Carrillo, Juan & Gaduh, Arya, 2012. "The Strategic Formation of Networks: Experimental Evidence," CEPR Discussion Papers 8757, C.E.P.R. Discussion Papers.
    15. Sudipta Sarangi & Robert P. Gilles, 2005. "The Role of Beliefs and Confidence in Building Social Networks," Departmental Working Papers 2005-15, Department of Economics, Louisiana State University.
    16. Pramod C. Mane & Kapil Ahuja & Nagarajan Krishnamurthy, 2020. "Stability, efficiency, and contentedness of social storage networks," Annals of Operations Research, Springer, vol. 287(2), pages 811-842, April.
    17. Berno Buechel & Tim Hellmann, 2012. "Under-connected and over-connected networks: the role of externalities in strategic network formation," Review of Economic Design, Springer;Society for Economic Design, vol. 16(1), pages 71-87, March.
    18. Adriani, Fabrizio & Ladley, Dan, 2021. "Social distance, speed of containment and crowding in/out in a network model of contagion," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 597-625.
    19. Mario Eboli, 2015. "Diffusion of innovations in dense and sparse networks," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(4), pages 1559-1571, July.
    20. Lippert, Steffen & Spagnolo, Giancarlo, 2011. "Networks of relations and Word-of-Mouth Communication," Games and Economic Behavior, Elsevier, vol. 72(1), pages 202-217, May.

    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:gam:jgames:v:10:y:2019:i:4:p:44-:d:282710. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.