Ranking of economic actors according to their “importance” in system
Keywords:
complex networks, nonlinear dynamics, rank, centrality, correlation
Abstract
The financial and economic crisis 2007-2009 shown that economic institutions are closely linked and the behavior of complex systems is difficult predictable. There is an urgent need to develop new quantitative methods that describe the dynamic changes in complex systems during normal conditions and during the crisis. There is a need for methods that describe the topology of the interaction between economic institutions, using the tools developed in the theory of networks. The paper used a method of the random matrices theory, which when combined with network methods are adequate means for the study of complex systems. The given technique we have implemented the study of global stock markets and banks.
References
1. Halvin S. Complex networks. Structure, robustness and function / Shlomo Halvin, Reuven Cohen. – New York : Cambridge University Press, 2010. – 248 p.
2. Ghoshal G. Ranking stability and super-stable nodes in complex net-works / Gourab Ghoshal, Albert-László Barabási // Nature Communications. – 2011. – Vol. 2. – Article number: 394. – DOI : 10.1038/ncomms1396.
3. Borgatti S. P. Centrality and network flow / Stephen P. Borgatti // Social Networks. – 2005. – Vol. 27. – Iss. 1. – P. 55-71. – DOI : 10.1016/j.socnet.2004.11.008.
4. Freeman L. Centrality in Social Networks Conceptual Clarification / Linton C. Freeman // Social Networks. – 1978-1979. – Vol. 1. – Iss. 3. – P. 215-239. – DOI : 10.1016/0378-8733(78)90021-7.
5. Katz L. A new status index derived from sociometric analysis / Leo Katz // Psychometrika. – 1953. – Vol. 18. – Iss. 1. – P. 39-43. – DOI : 10.1007/BF02289026.
6. Bonacich P. Factoring and weighting approaches to status scores and clique identification / Phillip Bonacich // Journal of Mathematical Sociology. – 1972. – Vol. 2. – Iss. 1. – P. 113-120. – DOI : 10.1080/0022250X.1972.9989806.
7. Bonacich P. Power and centrality: A family of measures [Electronic resource] / Phillip Bonacich // American Journal of Sociology. – 1987. – Vol. 92. – No. 5. – P. 1170-1182. – Access mode : https://www.jstor.org/stable/2780000.
8. Page L. The PageRank Citation Ranking: Bringing Order to the Web [Electronic resource] : [Technical Report] // Lawrence Page, Sergey Brin, Rajeev Motwani, Terry Winograd. – Stanford InfoLab, January 29, 1998. – Access mode : http://ilpubs.stanford.edu:8090/422/.
9. Battiston S. DebtRank: Too Central to Fail? Financial Networks, the FED and Systemic Risk / Stefano Battiston, Michelangelo Puliga, Rahul Kaushik, Paolo Tasca, Guido Caldarelli // Scientific Reports. – 2012. – Vol. 2. – Article number: 541. – DOI : 10.1038/srep00541.
10. Soramäki K. SinkRank: An Algorithm for Identifying Systemically Important Banks in Payment Systems / Kimmo Soramäki, Samantha Cook // Economics: The Open-Access, Open-Assessment E-Journal. – 2013. – Vol. 7. – No. 2013-28. – P. 1-27. – DOI : 10.5018/economics-ejournal.ja.2013-28.
11. Plerou V. Random matrix approach to cross correlations in financial data / Vasiliki Plerou, Parameswaran Gopikrishnan, Bernd Rosenow, Luís A. Nunes Amaral, Thomas Guhr, H. Eugene Stanley // Physical Review E. – 2002. – Vol. 65. – Iss. 6. – 066126. – P. 356-373. – DOI : 10.1103/PhysRevE.65.066126.
12. Brin S. The Anatomy of a Large-Scale Hypertextual Web Search Engine [Electronic resource] / Sergey Brin, Lawrence Page // Seventh International World-Wide Web Conference (WWW 1998), April 14-18, 1998, Brisbane, Australia. – 1998. – Access mode : http://ilpubs.stanford.edu:8090/361/.
13. Langville A. N. Google’s PageRank and Beyond: The Science of Search Engine Rankings / Amy N. Langville. Carl D. Meyer. – Princeton : Princeton University Press, 2012. – 240 p.
14. Yahoo Finance - Business Finance, Stock Market, Quotes, News [Electronic resource] / Verizon Media. – 2015. – Access mode : https://finance.yahoo.com.
15. Asotsiatsiia ukrainskykh bankiv — Holovna [Electronic resource]. – Access mode : http://aub.org.ua.
2. Ghoshal G. Ranking stability and super-stable nodes in complex net-works / Gourab Ghoshal, Albert-László Barabási // Nature Communications. – 2011. – Vol. 2. – Article number: 394. – DOI : 10.1038/ncomms1396.
3. Borgatti S. P. Centrality and network flow / Stephen P. Borgatti // Social Networks. – 2005. – Vol. 27. – Iss. 1. – P. 55-71. – DOI : 10.1016/j.socnet.2004.11.008.
4. Freeman L. Centrality in Social Networks Conceptual Clarification / Linton C. Freeman // Social Networks. – 1978-1979. – Vol. 1. – Iss. 3. – P. 215-239. – DOI : 10.1016/0378-8733(78)90021-7.
5. Katz L. A new status index derived from sociometric analysis / Leo Katz // Psychometrika. – 1953. – Vol. 18. – Iss. 1. – P. 39-43. – DOI : 10.1007/BF02289026.
6. Bonacich P. Factoring and weighting approaches to status scores and clique identification / Phillip Bonacich // Journal of Mathematical Sociology. – 1972. – Vol. 2. – Iss. 1. – P. 113-120. – DOI : 10.1080/0022250X.1972.9989806.
7. Bonacich P. Power and centrality: A family of measures [Electronic resource] / Phillip Bonacich // American Journal of Sociology. – 1987. – Vol. 92. – No. 5. – P. 1170-1182. – Access mode : https://www.jstor.org/stable/2780000.
8. Page L. The PageRank Citation Ranking: Bringing Order to the Web [Electronic resource] : [Technical Report] // Lawrence Page, Sergey Brin, Rajeev Motwani, Terry Winograd. – Stanford InfoLab, January 29, 1998. – Access mode : http://ilpubs.stanford.edu:8090/422/.
9. Battiston S. DebtRank: Too Central to Fail? Financial Networks, the FED and Systemic Risk / Stefano Battiston, Michelangelo Puliga, Rahul Kaushik, Paolo Tasca, Guido Caldarelli // Scientific Reports. – 2012. – Vol. 2. – Article number: 541. – DOI : 10.1038/srep00541.
10. Soramäki K. SinkRank: An Algorithm for Identifying Systemically Important Banks in Payment Systems / Kimmo Soramäki, Samantha Cook // Economics: The Open-Access, Open-Assessment E-Journal. – 2013. – Vol. 7. – No. 2013-28. – P. 1-27. – DOI : 10.5018/economics-ejournal.ja.2013-28.
11. Plerou V. Random matrix approach to cross correlations in financial data / Vasiliki Plerou, Parameswaran Gopikrishnan, Bernd Rosenow, Luís A. Nunes Amaral, Thomas Guhr, H. Eugene Stanley // Physical Review E. – 2002. – Vol. 65. – Iss. 6. – 066126. – P. 356-373. – DOI : 10.1103/PhysRevE.65.066126.
12. Brin S. The Anatomy of a Large-Scale Hypertextual Web Search Engine [Electronic resource] / Sergey Brin, Lawrence Page // Seventh International World-Wide Web Conference (WWW 1998), April 14-18, 1998, Brisbane, Australia. – 1998. – Access mode : http://ilpubs.stanford.edu:8090/361/.
13. Langville A. N. Google’s PageRank and Beyond: The Science of Search Engine Rankings / Amy N. Langville. Carl D. Meyer. – Princeton : Princeton University Press, 2012. – 240 p.
14. Yahoo Finance - Business Finance, Stock Market, Quotes, News [Electronic resource] / Verizon Media. – 2015. – Access mode : https://finance.yahoo.com.
15. Asotsiatsiia ukrainskykh bankiv — Holovna [Electronic resource]. – Access mode : http://aub.org.ua.
Published
2015-12-25
How to Cite
Соловйов, В., & Лук’янчук, О. (2015). Ranking of economic actors according to their “importance” in system. Theory and Methods of Learning Mathematics, Physics, Informatics, 13(3), 202-214. https://doi.org/10.55056/tmn.v13i3.1002
Issue
Section
Theory and methods of learning fundamental disciplines in high school