IDEAS home Printed from https://ideas.repec.org/p/fem/femwpa/2019.20.html
   My bibliography  Save this paper

On the Interaction between Small Decay, Agent Heterogeneity and Diameter of Minimal Strict Nash Networks in Two-way Flow Model: A Note

Author

Listed:
  • Banchongsan Charoensook

    (Keimyung University, Keimyung Adams College, Department of International Business)

Abstract

In this note, I study the roles of value heterogeneity - i.e., agents are heterogeneous in terms of values of nonrival information thay they possessed - in determining the shapes of two-way flow Strict Nash networks when small amount of decay is present. I do so by extending the two-way flow network with small decay of De Jaegher and Kamphorst (J ECON BEHAV ORGAN, 2015). Results of this extension shows that the effects of value heterogeneity on Strict Nash networks, when small decay is present, largely resemble the effects of heterogeneity in link formation cost - without decay - found in the literature. Another surprising finding is that value heterogeneity can extend the diameters of Strict Nash networks without changing any other properties. In the discussion section of this note, I relate this finding to two well-known concepts in the studies of social networks - small world and preferential attachment.

Suggested Citation

  • Banchongsan Charoensook, 2019. "On the Interaction between Small Decay, Agent Heterogeneity and Diameter of Minimal Strict Nash Networks in Two-way Flow Model: A Note," Working Papers 2019.20, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2019.20
    as

    Download full text from publisher

    File URL: https://feem-media.s3.eu-central-1.amazonaws.com/wp-content/uploads/NDL2019-020.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Strict Nash networks and partner heterogeneity," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 515-525, August.
    2. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    3. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2010. "The Insider-Outsider Model Reexamined," Games, MDPI, vol. 1(4), pages 1-16, October.
    Full references (including those not matched with items on IDEAS)

    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. Charoensook, Banchongsan, 2015. "On the Interaction between Player Heterogeneity and Partner Heterogeneity in Strict Nash Networks," MPRA Paper 61205, University Library of Munich, Germany.
    2. Banchongsan Charoensook, 2020. "On the Interaction between Small Decay, Agent Heterogeneity and Diameter of Minimal Strict Nash Networks in Two-way Flow Model," Annals of Economics and Finance, Society for AEF, vol. 21(2), pages 331-361, November.
    3. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Resources Flows Asymmetries in Strict Nash Networks with Partner Heterogeneity," Working Papers 1108, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    4. Haller, Hans, 2012. "Network extension," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 166-172.
    5. Pascal Billand & Christophe Bravard & Sudipta Sarangi & J. Kamphorst, 2011. "Confirming information flows in networks," Post-Print halshs-00672351, HAL.
    6. Billand, Pascal & Bravard, Christophe & Sarangi, Sudipta, 2012. "Existence of Nash networks and partner heterogeneity," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 152-158.
    7. Pietro Battiston, 2016. "Constrained Network Formation," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 2(3), pages 347-362, November.
    8. Kinateder, Markus & Merlino, Luca Paolo, 2022. "Local public goods with weighted link formation," Games and Economic Behavior, Elsevier, vol. 132(C), pages 316-327.
    9. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2013. "Modeling resource flow asymmetries using condensation networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 537-549, September.
    10. Banchongsan Charoensook, 2015. "On the Interaction between Player Heterogeneity and Partner Heterogeneity in Two-way Flow Strict Nash Networks," Working Papers 2015.44, Fondazione Eni Enrico Mattei.
    11. 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.
    12. Charoensook, Banchongsan, 2017. "Violations of Uniform Partner Ranking Condition in Two-way Flow Strict Nash Networks," MPRA Paper 77961, University Library of Munich, Germany.
    13. Billand, Pascal & Bravard, Christophe & Kamphorst, Jurjen & Sarangi, Sudipta, 2017. "Network formation when players seek confirmation of information," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 20-31.
    14. Arthur Schram & Boris Van Leeuwen & Theo Offerman, 2013. "Superstars Need Social Benefits: An Experiment on Network Formation," Working Papers 1306, Departament Empresa, Universitat Autònoma de Barcelona, revised Jul 2013.
    15. Eunae Yoo & Elliot Rabinovich & Bin Gu, 2020. "The Growth of Follower Networks on Social Media Platforms for Humanitarian Operations," Production and Operations Management, Production and Operations Management Society, vol. 29(12), pages 2696-2715, December.
    16. Rajgopal Kannan & Lydia Ray & Sudipta Sarangi, 2007. "The structure of information networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 119-134, January.
    17. Finneran, Lisa & Kelly, Morgan, 2003. "Social networks and inequality," Journal of Urban Economics, Elsevier, vol. 53(2), pages 282-299, March.
    18. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves & Lee, Lung-Fei, 2011. "Criminal Networks: Who is the Key Player?," Research Papers in Economics 2011:7, Stockholm University, Department of Economics.
    19. Bich, Philippe & Teteryatnikova, Mariya, 2023. "On perfect pairwise stable networks," Journal of Economic Theory, Elsevier, vol. 207(C).
    20. Grabisch, Michel & Rusinowska, Agnieszka, 2011. "Influence functions, followers and command games," Games and Economic Behavior, Elsevier, vol. 72(1), pages 123-138, May.

    More about this item

    Keywords

    Network Formation; Strict Nash Network; Two-way Flow Network; Branching Network;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:fem:femwpa:2019.20. 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: Alberto Prina Cerai (email available below). General contact details of provider: https://edirc.repec.org/data/feemmit.html .

    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.