IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1908.11433.html
   My bibliography  Save this paper

Growth Dynamics of Value and Cost Trade-off in Temporal Networks

Author

Listed:
  • Sheida Hasani
  • Razieh Masoomi
  • Jamshid Ardalankia
  • Mohammadbashir Sedighi
  • Hamid Jafari

Abstract

The question is: What does happen to the real-world networks which cause them not to grow permanently? The idea here is that real-world networks have to pay the cost of growth. We investigate the growth and trade-off between value and cost in the networks with cost and preferential attachment together. Since the preferential attachment in the BA model does not consider any stop against the infinite growth of networks, we introduce a modified version of preferential attachment of the BA model. This idea makes sense because the growth of real networks may be finite. In the present study, by combining preferential attachment in the science of temporal networks (interval graphs), and, the first-order differential equations of value and cost of making links, the future equilibrium of an evolving network is illustrated. During the process of achieving a winning position, the variables against growth such as the competition cost, besides the internally structural cost may emerge. In the end, by applying this modified model, we found the circumstances in which a trade-off between value and cost emerges.

Suggested Citation

  • Sheida Hasani & Razieh Masoomi & Jamshid Ardalankia & Mohammadbashir Sedighi & Hamid Jafari, 2019. "Growth Dynamics of Value and Cost Trade-off in Temporal Networks," Papers 1908.11433, arXiv.org, revised Aug 2020.
    • Handle: RePEc:arx:papers:1908.11433
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1908.11433
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hadiseh Safdari & Milad Zare Kamali & Amirhossein Shirazi & Moein Khalighi & Gholamreza Jafari & Marcel Ausloos, 2016. "Fractional Dynamics of Network Growth Constrained by Aging Node Interactions," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-13, May.
    2. Hedayatifar, L. & Hassanibesheli, F. & Shirazi, A.H. & Vasheghani Farahani, S. & Jafari, G.R., 2017. "Pseudo paths towards minimum energy states in network dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 109-116.
    3. Ikeda, Nobutoshi, 2017. "Topology of growing networks accelerated by intermediary process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 378-393.
    4. Amir Hossein Shirazi & Ali Namaki & Amir Ahmad Roohi & Gholam Reza Jafari, 2013. "Transparency Effect in the Emergence of Monopolies in Social Networks," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 16(1), pages 1-1.
    5. Brahmadev Panda & N. M. Leepsa, 2017. "Agency theory: Review of Theory and Evidence on Problems and Perspectives," Indian Journal of Corporate Governance, , vol. 10(1), pages 74-95, June.
    6. Chari, Murali D.R. & David, Parthiban & Duru, Augustine & Zhao, Yijiang, 2019. "Bowman's risk-return paradox: An agency theory perspective," Journal of Business Research, Elsevier, vol. 95(C), pages 357-375.
    7. Iori, Giulia & Mantegna, Rosario N. & Marotta, Luca & Miccichè, Salvatore & Porter, James & Tumminello, Michele, 2015. "Networked relationships in the e-MID interbank market: A trading model with memory," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 98-116.
    8. Naeem, Kashif & Li, Matthew C., 2019. "Corporate investment efficiency: The role of financial development in firms with financing constraints and agency issues in OECD non-financial firms," International Review of Financial Analysis, Elsevier, vol. 62(C), pages 53-68.
    9. Zhao, Longfeng & Wang, Gang-Jin & Wang, Mingang & Bao, Weiqi & Li, Wei & Stanley, H. Eugene, 2018. "Stock market as temporal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1104-1112.
    10. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
    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. Jamshid Ardalankia & Jafar Askari & Somaye Sheykhali & Emmanuel Haven & G. Reza Jafari, 2020. "Mapping Coupled Time-series Onto Complex Network," Papers 2004.13536, arXiv.org, revised Aug 2020.
    2. Rabbani, Fereshteh & Khraisha, Tamer & Abbasi, Fatemeh & Jafari, Gholam Reza, 2021. "Memory effects on link formation in temporal networks: A fractional calculus approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    3. Sabahat Riaz & Mohamed Hisham Hanifa & Fauzi Zainir, 2021. "Does Foreign Institutional Equity Participation Instigate Sustainable Corporate Investment Efficiency? Evidence from Emerging Economies," Sustainability, MDPI, vol. 13(8), pages 1-17, April.
    4. Ikeda, Nobutoshi, 2019. "Growth model for fractal scale-free networks generated by a random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 424-434.
    5. Du, Haifeng & He, Xiaochen & Wang, Jingjing & Feldman, Marcus W., 2018. "Reversing structural balance in signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 780-792.
    6. Liang, Wei & Shi, Yuming & Huang, Qiuling, 2014. "Modeling the Chinese language as an evolving network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 268-276.
    7. Ramadiah, Amanah & Caccioli, Fabio & Fricke, Daniel, 2020. "Reconstructing and stress testing credit networks," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    8. George Georgakopoulos & Kanellos Toudas & Evangelos I. Poutos & Theodoros Kounadeas & Stefanos Tsavalias, 2022. "Capital Structure, Corporate Governance, Equity Ownership and Their Impact on Firms’ Profitability and Effectiveness in the Energy Sector," Energies, MDPI, vol. 15(10), pages 1-10, May.
    9. Kobayashi, Teruyoshi & Takaguchi, Taro, 2018. "Identifying relationship lending in the interbank market: A network approach," Journal of Banking & Finance, Elsevier, vol. 97(C), pages 20-36.
    10. Yan Qiang & Bo Pei & Weili Wu & Juanjuan Zhao & Xiaolong Zhang & Yue Li & Lidong Wu, 2014. "Improvement of path analysis algorithm in social networks based on HBase," Journal of Combinatorial Optimization, Springer, vol. 28(3), pages 588-599, October.
    11. Pi, Xiaochen & Tang, Longkun & Chen, Xiangzhong, 2021. "A directed weighted scale-free network model with an adaptive evolution mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    12. Carlos León & Javier Miguélez, 2020. "Interbank relationship lending in Colombia," Borradores de Economia 1118, Banco de la Republica de Colombia.
    13. Baldacchino & P.J. & Callus & A. & Tabone & N. & Ellul & L. & Grima & S., 2022. "The Barriers and Effectiveness of Management Monitoring by Maltese Listed Boards*," International Journal of Finance, Insurance and Risk Management, International Journal of Finance, Insurance and Risk Management, vol. 12(2), pages 92-127.
    14. Stephanie Rend'on de la Torre & Jaan Kalda & Robert Kitt & Juri Engelbrecht, 2016. "On the topologic structure of economic complex networks: Empirical evidence from large scale payment network of Estonia," Papers 1602.04352, arXiv.org.
    15. Yoshiharu Maeno & Kenji Nishiguchi & Satoshi Morinaga & Hirokazu Matsushima, 2014. "Impact of credit default swaps on financial contagion," Papers 1411.1356, arXiv.org.
    16. Farida Farida* & Adhika Ramadhan & Ratih Wijayanti, 2019. "The Influence of Good Corporate Governance and Corporate Social Responsibility on Firm Value: Evidence from Indonesia," International Journal of Economics and Financial Research, Academic Research Publishing Group, vol. 5(7), pages 177-183, 07-2019.
    17. Gabrielle Demange, 2012. "On the influence of a ranking system," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 431-455, July.
    18. Sun, Bowen & Li, Huajiao & An, Pengli & Wang, Ze, 2020. "Dynamic energy stock selection based on shareholders’ coholding network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    19. Mahla Afghahi & Farzaneh Nassirzadeh & Davood Askarany, 2024. "Exploring the impact of customer concentration on stock price crash risk," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-15, December.
    20. Cheng, Ranran & Peng, Mingshu & Yu, Weibin, 2014. "Pinning synchronization of delayed complex dynamical networks with nonlinear coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 426-431.

    More about this item

    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:arx:papers:1908.11433. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.