Skip to main content
Log in

A study of the effect of influential spreaders on the different sectors of Indian market and a few foreign markets: a complex networks perspective

  • Research Article
  • Published:
Journal of Computational Social Science Aims and scope Submit manuscript

Abstract

Market competition has a role that is directly or indirectly associated with the influential effects of individual sectors on other sectors of the financial market. The present work studies the relative position of stocks in the market through the identification of influential spreaders and their corresponding effect on the other sectors of the market using complex network analysis during and after the COVID-19-induced lockdown periods. The study uses daily data of NSE along with those of different countries like USA (Nasdaq), UK (UK stock exchange), Japan (Nikkei) and Brazil (Bovespa) from December 2019 to June 2021. The existing network approaches using different centrality measures failed to distinguish between the positive and negative influences of the different sectors in the market which act as spreaders. To overcome this problem, this paper presents an effective measure called LIEST (Local Influential Effects for a Specific Target) that can examine the positive and negative influences separately with respect to any period. LIEST considers the combined impact of all possible nodes which are at most three steps away from the specific target nodes in the networks. This study considers the transmission of financial influence originating at a source node (a particular stock) and propagating to target nodes through the financial market modeled as a complex network where the structure of the network is captured by correlation. The essence of non-linearity in the network dynamics without considering the single node effect becomes visible in the proposed network. A comparative analysis has been undertaken among the stocks drawn from financial markets around the world (USA, UK, Brazil and Japan) with that of the Indian stock to obtain an idea about the global market behaviour. As an example, the active participation of healthcare and consumer defensive sectors along with financial, industrial and technology sectors have been found to create an effective positive impact on the Indian market. Similar results have been obtained with stock market data obtained from other countries. In addition, in respect of spreading performance the proposed approach is found to be efficient as validated by the TRIVALENCY model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Data availability

The data sets (see Supplementary file Table: 22–26) analysed during the present study are available publicly in the website of Yahoo finance (https://finance.yahoo.com/).

Code availability

The codes to reproduce the results can be found at https://github.com/Anwesha-25/LIEST.

References

  1. Albano, J. A., Messinger, D. W., & Rotman, S. R. (2012). Commute time distance transformation applied to spectral imagery and its utilization in material clustering. Optical Engineering, 51(7), 076202.

    Article  Google Scholar 

  2. Almog, A., & Shmueli, E. (2019). Structural entropy: Monitoring correlation-based networks over time with application to financial markets. Scientific Reports, 9(1), 1–13.

    Article  Google Scholar 

  3. Baker, M., & Wurgler, J. (2007). Investor sentiment in the stock market. Journal of Economic Perspectives, 21(2), 129–152.

    Article  Google Scholar 

  4. Bhadola, P., & Deo, N. (2017). Extreme eigenvector analysis of global financial correlation matrices. Econophysics and sociophysics: Recent progress and future directions (pp. 59–69). Springer.

    Chapter  Google Scholar 

  5. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., & Hwang, D. U. (2006). Complex networks: Structure and dynamics. Physics Reports, 424(4–5), 175–308.

    Article  Google Scholar 

  6. Brin, S., & Page, L. (1998). The anatomy of a large-scale hypertextual web search engine. Computer Networks and ISDN Systems, 30(1–7), 107–117.

    Article  Google Scholar 

  7. Brunetti, C., Harris, J. H., Mankad, S., & Michailidis, G. (2019). Interconnectedness in the interbank market. Journal of Financial Economics, 133(2), 520–538.

    Article  Google Scholar 

  8. Burns, A. C. (1986). Generating marketing strategy priorities based on relative competitive position. Journal of Consumer Marketing, 3, 49–56.

    Article  Google Scholar 

  9. Chatterjee, S., Mukherjee, I., & Barat, P. (2018). Analysis of the behaviour of the detrended BSE sensex data. Chaos, Solitons & Fractals, 113, 186–196.

    Article  Google Scholar 

  10. Chen, D., Lü, L., Shang, M. S., Zhang, Y. C., & Zhou, T. (2012). Identifying influential nodes in complex networks. Physica A: Statistical Mechanics and its Applications, 391(4), 1777–1787.

    Article  Google Scholar 

  11. Corsi, F., Lillo, F., Pirino, D., & Trapin, L. (2018). Measuring the propagation of financial distress with granger-causality tail risk networks. Journal of Financial Stability, 38, 18–36.

    Article  Google Scholar 

  12. Cortés Ángel, A. P., & Eratalay, M. H. (2022). Deep diving into the S &P Europe 350 index network and its reaction to COVID-19. Journal of Computational Social Science, 5, 1343–1408.

    Article  Google Scholar 

  13. Darbellay, G. A., & Wuertz, D. (2000). The entropy as a tool for analysing statistical dependences in financial time series. Physica A: Statistical Mechanics and its Applications, 287(3–4), 429–439.

    Article  Google Scholar 

  14. De Long, J. B., Shleifer, A., Summers, L. H., & Waldmann, R. J. (1990). Noise trader risk in financial markets. Journal of Political Economy, 98(4), 703–738.

    Article  Google Scholar 

  15. Elliott, M., Golub, B., & Jackson, M. O. (2014). Financial networks and contagion. American Economic Review, 104(10), 3115–3153.

    Article  Google Scholar 

  16. Feldhoff, J. H., Donner, R. V., Donges, J. F., Marwan, N., & Kurths, J. (2012). Geometric detection of coupling directions by means of inter-system recurrence networks. Physics Letters A, 376(46), 3504–3513.

    Article  Google Scholar 

  17. Fraser, A. M., & Swinney, H. L. (1986). Independent coordinates for strange attractors from mutual information. Physical Review A, 33(2), 1134.

    Article  Google Scholar 

  18. Frenzel, S., & Pompe, B. (2007). Partial mutual information for coupling analysis of multivariate time series. Physical Review Letters, 99(20), 204101.

    Article  Google Scholar 

  19. Giardina, I., & Bouchaud, J. P. (2003). Bubbles, crashes and intermittency in agent based market models. The European Physical Journal B-Condensed Matter and Complex Systems, 31(3), 421–437.

    Article  Google Scholar 

  20. Guilbeault, D., & Centola, D. (2021). Topological measures for identifying and predicting the spread of complex contagions. Nature Communications, 12(1), 1–9.

    Article  Google Scholar 

  21. Guo, S., Seth, A. K., Kendrick, K. M., Zhou, C., & Feng, J. (2008). Partial granger causality-eliminating exogenous inputs and latent variables. Journal of Neuroscience Methods, 172(1), 79–93.

    Article  Google Scholar 

  22. Haluszczynski, A., Laut, I., Modest, H., & Räth, C. (2017). Linear and nonlinear market correlations: Characterizing financial crises and portfolio optimization. Physical Review E, 96(6), 062315.

    Article  Google Scholar 

  23. Hirsch, J. E. (2005). An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences, 102(46), 16569–16572.

    Article  Google Scholar 

  24. Huang, C., Wen, S., Li, M., Wen, F., & Yang, X. (2021). An empirical evaluation of the influential nodes for stock market network: Chinese a-shares case. Finance Research Letters, 38, 101517.

    Article  Google Scholar 

  25. Jaccard, P. (1912). The distribution of the flora in the alpine zone. 1. New Phytologist, 11(2), 37–50.

    Article  Google Scholar 

  26. Ji, P., Ye, J., Mu, Y., Lin, W., Tian, Y., Hens, C., Perc, M., Tang, Y., Sun, J., & Kurths, J. (2023). Signal propagation in complex networks. Physics Reports, 1017, 1–96.

    Article  Google Scholar 

  27. Khalil, G. E., Jones, E. C., & Fujimoto, K. (2021). Examining proximity exposure in a social network as a mechanism driving peer influence of adolescent smoking. Addictive Behaviors, 117, 106853.

    Article  Google Scholar 

  28. Kirkpatrick, C. D., II., & Dahlquist, J. A. (2010). Technical analysis: the complete resource for financial market technicians. FT Press.

    Google Scholar 

  29. Kitsak, M., Gallos, L. K., Havlin, S., Liljeros, F., Muchnik, L., Stanley, H. E., & Makse, H. A. (2010). Identification of influential spreaders in complex networks. Nature Physics, 6(11), 888–893.

    Article  Google Scholar 

  30. Kukreti, V., Pharasi, H. K., Gupta, P., & Kumar, S. (2020). A perspective on correlation-based financial networks and entropy measures. Frontiers in Physics, 8, 323.

    Article  Google Scholar 

  31. Kumari, J., Sharma, V., & Chauhan, S. (2021). Prediction of stock price using machine learning techniques: A survey. In 2021 3rd International conference on advances in computing, communication control and networking (ICAC3N) (pp. 281–284). IEEE.

  32. Laloux, L., Cizeau, P., Bouchaud, J. P., & Potters, M. (1999). Noise dressing of financial correlation matrices. Physical Review Letters, 83(7), 1467.

    Article  Google Scholar 

  33. Leng, S., Ma, H., Kurths, J., Lai, Y. C., Lin, W., Aihara, K., & Chen, L. (2020). Partial cross mapping eliminates indirect causal influences. Nature Communications, 11(1), 1–9.

    Article  Google Scholar 

  34. Li, H., Peng, R., Shan, L., Yi, Y., & Zhang, Z. (2019). Current flow group closeness centrality for complex networks? In The world wide web conference (pp. 961–971).

  35. Lü, L., Zhang, Y. C., Yeung, C. H., & Zhou, T. (2011). Leaders in social networks, the delicious case. PLoS One, 6(6), e21202.

    Article  Google Scholar 

  36. Lü, L., Zhou, T., Zhang, Q. M., & Stanley, H. E. (2016). The h-index of a network node and its relation to degree and coreness. Nature Communications, 7(1), 1–7.

    Article  Google Scholar 

  37. Luan, Y., Bao, Z., & Zhang, H. (2021). Identifying influential spreaders in complex networks by considering the impact of the number of shortest paths. Journal of Systems Science and Complexity, 34(6), 2168–2181.

    Article  Google Scholar 

  38. Ma, H., Aihara, K., & Chen, L. (2014). Detecting causality from nonlinear dynamics with short-term time series. Scientific Reports, 4(1), 1–10.

    Article  Google Scholar 

  39. Majapa, M., & Gossel, S. J. (2016). Topology of the south African stock market network across the 2008 financial crisis. Physica A: Statistical Mechanics and its Applications, 445, 35–47.

    Article  Google Scholar 

  40. Mantegna, R. N. (1999). Hierarchical structure in financial markets. The European Physical Journal B-Condensed Matter and Complex Systems, 11(1), 193–197.

    Article  Google Scholar 

  41. Mantegna, R. N., & Stanley, H. E. (1999). Introduction to econophysics: Correlations and complexity in finance. Cambridge University Press.

    Book  Google Scholar 

  42. Marschinski, R., & Kantz, H. (2002). Analysing the information flow between financial time series: An improved estimator for transfer entropy. The European Physical Journal B-Condensed Matter and Complex Systems, 30, 275–281.

    Article  Google Scholar 

  43. Morone, F., & Makse, H. A. (2015). Influence maximization in complex networks through optimal percolation. Nature, 524(7563), 65–68.

    Article  Google Scholar 

  44. Newman, M. E. (2003). The structure and function of complex networks. SIAM Review, 45(2), 167–256.

    Article  Google Scholar 

  45. Newman, M. E. (2005). A measure of betweenness centrality based on random walks. Social Networks, 27(1), 39–54.

    Article  Google Scholar 

  46. Newman, M. E. (2010). Networks–An introduction. Oxford University Press.

    Book  Google Scholar 

  47. OECD. (2009). Competition and financial markets, key findings. Retrieved from https://www.oecd.org/daf/competition/43067294.pdf. 03 Aug 2022

  48. Oldham, S., Fulcher, B., Parkes, L., Arnatkeviciūtė, A., Suo, C., & Fornito, A. (2019). Consistency and differences between centrality measures across distinct classes of networks. PLoS One, 14(7), e0220061.

    Article  Google Scholar 

  49. Pan, R. K., & Sinha, S. (2007). Collective behavior of stock price movements in an emerging market. Physical Review E, 76(4), 046116.

    Article  Google Scholar 

  50. Pharasi, H. K., Sharma, K., Chatterjee, R., Chakraborti, A., Leyvraz, F., & Seligman, T. H. (2018). Identifying long-term precursors of financial market crashes using correlation patterns. New Journal of Physics, 20(10), 103041.

    Article  Google Scholar 

  51. Philip Kotler, P., Gary Armstrong, G., & Veronica Wong, V. (1996). Principles of marketing—European edition. Prentice Hall Europe.

    Google Scholar 

  52. Qu, J., Liu, Y., Tang, M., & Guan, S. (2022). Identification of the most influential stocks in financial networks. Chaos, Solitons & Fractals, 158, 111939.

    Article  Google Scholar 

  53. Reddy, Y., & Sebastin, A. (2008). Interaction between forex and stock markets in India: An entropy approach. Vikalpa, 33(4), 27–46.

    Article  Google Scholar 

  54. Richardson, M., & Domingos, P. (2002). Mining knowledge-sharing sites for viral marketing. In Proceedings of the eighth ACM SIGKDD international conference on knowledge discovery and data mining (pp. 61–70).

  55. Rochat, Y. (2009). Closeness centrality extended to unconnected graphs: The harmonic centrality index. Tech. rep.

  56. Rodrigues, F. A. (2019). Network centrality: an introduction. A mathematical modeling approach from nonlinear dynamics to complex systems (pp. 177–196). Springer.

    Chapter  Google Scholar 

  57. Ross, S. M., Kelly, J. J., Sullivan, R. J., Perry, W. J., Mercer, D., Davis, R. M., Washburn, T. D., Sager, E. V., Boyce, J. B., & Bristow, V. L. (1996). Stochastic processes (Vol. 2). Wiley.

    Google Scholar 

  58. Rubinov, M., & Sporns, O. (2010). Complex network measures of brain connectivity: Uses and interpretations. Neuroimage, 52(3), 1059–1069.

    Article  Google Scholar 

  59. Runge, J. (2018). Causal network reconstruction from time series: From theoretical assumptions to practical estimation. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(7), 075310.

    Article  Google Scholar 

  60. Ryu, D., Ryu, D., & Yang, H. (2020). Investor sentiment, market competition, and financial crisis: Evidence from the Korean stock market. Emerging Markets Finance and Trade, 56(8), 1804–1816.

    Article  Google Scholar 

  61. Saichaemchan, S., & Bhadola, P. (2021). Evolution, structure and dynamics of the Thai stock market: A network perspective. Journal of Physics: Conference Series., 1719, 012105.

    Google Scholar 

  62. Samal, A., Kumar, S., Yadav, Y., & Chakraborti, A. (2021). Network-centric indicators for fragility in global financial indices. Frontiers in Physics, 8, 624373.

    Article  Google Scholar 

  63. Schreiber, T. (2000). Measuring information transfer. Physical Review Letters, 85(2), 461.

    Article  Google Scholar 

  64. Segarra, S., & Ribeiro, A. (2015). Stability and continuity of centrality measures in weighted graphs. IEEE Transactions on Signal Processing, 64(3), 543–555.

    Article  Google Scholar 

  65. Sharma, C., & Banerjee, K. (2015). A study of correlations in the stock market. Physica A: Statistical Mechanics and its Applications, 432, 321–330.

    Article  Google Scholar 

  66. Sinha, S., & Pan, R. K. (2007). Uncovering the internal structure of the Indian financial market: Large cross-correlation behavior in the NSE. Econophysics of Markets and Business Networks (pp. 3–19). Springer.

    Chapter  Google Scholar 

  67. Song, J., Feng, Z., & Qi, X. (2022). Spreading to localized targets in signed social networks. Frontiers in Physics, 9, 806259.

    Article  Google Scholar 

  68. Upadhyay, S., Banerjee, A., & Panigrahi, P. K. (2020). Causal evolution of global crisis in financial networks. Physica A: Statistical Mechanics and its Applications, 554, 124690.

    Article  Google Scholar 

  69. Wang, Z., Gao, X., Tang, R., Liu, X., Sun, Q., & Chen, Z. (2019). Identifying influential nodes based on fluctuation conduction network model. Physica A: Statistical Mechanics and its Applications, 514, 355–369.

    Article  Google Scholar 

  70. Wu, T., Gao, X., An, S., & Liu, S. (2021). Time-varying pattern causality inference in global stock markets. International Review of Financial Analysis, 77, 101806.

    Article  Google Scholar 

  71. Xu, S., Wang, P., Zhang, C. X., & Lü, J. J. (2018). Spectral learning algorithm reveals propagation capability of complex networks. IEEE Transactions on Cybernetics, 49(12), 4253–4261.

    Article  Google Scholar 

  72. Yang, G., Benko, T. P., Cavaliere, M., Huang, J., & Perc, M. (2019). Identification of influential invaders in evolutionary populations. Scientific Reports, 9(1), 7305.

    Article  Google Scholar 

Download references

Acknowledgements

Author SU would like to acknowledge the financial support received under the project “Quantum information technologies with photonic devices (DST)” (Ref. No.: IISER-K/DoRD/R &P/2021-22/425) funded by QuEST, DST. Authors AS and IM would like to acknowledge the infrastructural and computational support provided by MAKAUT, WB during preparation of the manuscript.

Author information

Authors and Affiliations

Authors

Contributions

Authors AS and PKP conceptualized the idea upon discussion which was emphasized by authors SU and IM. Author AS designed the methodology. Author AS collected, systemically organised and analysed the data, visualised and interpreted the results with supervision from authors SU, IM and PKP. Author AS wrote the draft of the manuscript which was revised and edited by authors SU, IM and PKP.

Corresponding author

Correspondence to Anwesha Sengupta.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Electronic Supplementary Material

Below is the link to the electronic supplementary material.

Supplementary Material 1 (PDF 616 KB)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sengupta, A., Upadhyay, S., Mukherjee, I. et al. A study of the effect of influential spreaders on the different sectors of Indian market and a few foreign markets: a complex networks perspective. J Comput Soc Sc (2023). https://doi.org/10.1007/s42001-023-00229-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s42001-023-00229-4

Keywords

Navigation