| In the section | Articles |
| Title of the article | Some Approaches to Modeling the Spatial Diffusion of Innovations |
| Pages | 103-115 |
| Author 1 | Yuriy Davidovich Schmidt Doctor of Economics, Head of the Primorye research laboratory for Economics and global issues, Head of Department of Business Informatics and Economic and Mathematical Methods, Economic Research Institute FEB RAS, Far Eastern State University 153, Tikhookeanskaya Street, Khabarovsk, Russia, 680042; 8, Sukhanova Street, Vladivostok, Russia, 690091 This email address is being protected from spambots. You need JavaScript enabled to view it. |
| Author 2 | Olga Nikolaevna Lobodina Post-graduate student Far Eastern State University 8, Sukhanova Street, Vladivostok, Russia, 690091 This email address is being protected from spambots. You need JavaScript enabled to view it. |
| Abstract | The study considers the problems of modeling diffusion of innovations in economic systems. The authors show the capabilities and limitations of the use of deterministic and probabilistic cellular automata in modeling the diffusion of innovations. To overcome limitations of the model of probabilistic cellular automaton the researchers propose the model’s modification. The authors constructed a cellular automaton that implements two different behavior modes according to the selection method of a plurality of neighboring cells (classic and combined) and changing the cell’s state. This automaton has several modes of operation: the absence or impermeable boundaries, homogeneity or heterogeneity of the territory. |
| Code | 332.14 |
| DOI | 10.14530/se.2015.2.103-115 |
| Keywords | diffusion of innovations ♦ modeling ♦ cellular automata ♦ modification ♦ probabilistic and combined cellular automaton |
| Download | SE.2015.2.103-115.Schmidt.pdf |
| For citation | Schmidt Y.D., Lobodina O.N. Some Approaches to Modeling the Spatial Diffusion of Innovations. Prostranstvennaya Ekonomika = Spatial Economics, 2015, no. 2, pp. 103-115. DOI: 10.14530/se.2015.2.103-115. (In Russian). |
| References | 1. Bilal N.E. Suleiman. Mathematical Model of Training and Dynamics of Scientific Personal. Vestnik Tverskogo Gosudarstvennogo Universiteta. Seriya: Prikladnaya Matematika – Herald of Tver State University. Series: Applied Mathematics, 2012, no. 1 (24), pp. 155–163. (In Russian). 2. Bortnik I.M., Senchenya G.I., Mikheeva N.N., Zdunov A.A., Kadochnicov P.A., Sorokina A.V. A System of Measurement and Monitoring Innovative Activity in Russian Regions. Innovatsii [Innovations], 2012, no. 9 (167), pp. 48–61. (In Russian). 3. Gmurman V.E. Probability Theory and Mathematical Statistics. 9 th ed. Moscow, 2003, 479 p. (In Russian). 4. Dubina I.N. Game-Theoretic Models of the Organization of Creative and Innovative Activity of Firms. Edited by N.M. Oskorbin. Barnaul, 2013, 178 p. (In Russian). 5. Zhang W.-B. Synergetic Economics. Time and Change in Nonlinear Economics. Moscow, 1999, 400 p. (In Russian). 6. Lobanov A.I. Model of Cellular Automata. Kompyuternye Issledovaniya i Modeli-rovanie – Computer Research and Modeling, 2010, vol. 2, no. 3, pp. 273–293. (In Russian). 7. Mikheeva N.N. Comparative Analysis of Innovative Systems in the Russian Regions. Prostranstvennaya Ekonomika = Spatial Economics, 2014, no. 4, pp. 61–81. DOI: 10.14530/se.2014.4.061-081. (In Russian). 8. Moskovkin V.M., Bilal N.E. Suleiman, Golikov N.A. Mathematical Model of Interaction between the Results of Different Types of SREDW. Automatic Documentation and Mathematical Linguistics, 2011, no. 2, pp. 13–17. (In Russian). 9. Plotinskiy Yu.M. Models of Social Processes. Moscow, 2001, 296 p. (In Russian). 10. Popkov Yu.S. Macrosystem Models of Spatial Economics. Moscow, 2008, 240 p. (In Russian). 11. Toffoli Т., Margolus N. Cellular Automata Machines. Moscow, 1991, 280 p. (In Russian). 12. Untura G.A., Esikova T.N., Zaytsev I.D., Moroshkina O.N. Problems and Research Tools Developed the Level of Innovative Development of Russian Regions. Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Sotsialno-Ekonomicheskie Nauki [Bulletin of the Novosibirsk State University. Series: Socio-Economic Sciences], 2014, vol. 14, no. 1, pp. 81–100. (In Russian). 13. Shmidt Y.D., Lobodina O.N. Statistic Research of Country Economics Zone Main Characteristics. Vestnik Tikhookeanskogo Gosudarstvennogo Ekonomicheskogo Universiteta [Bulletin of The Pacific State Economic University], 2013, no. 1 (65), pp. 22–35. (In Russian). 14. Castellano C., Fortunato S., Lorento V. Statistical Physics of Social Dynamics. Reviews of Modern Physics, 2009, vol. 81, no. 2, pp. 591–646. DOI: 10.1103/RevModPhys.81.591 15. Gilbert N. Agent-Based Models. SAGE, 2008, vol. 153, 112 p. DOI: 10.4135/9781412983259 16. Janszen F.H.A., Degenaars G.H. A Dynamic Analysis of the Relations between the Structure and the Process of National System of Innovation Using Computer Simulation: The Case of the Dutch Biotechnological Sector. Research Policy, 1998, vol. 27, no. 1, 17. pp. 37–54. DOI: 10.1016/S0048-7333(98)00023-7 18. Lee Y.-L. Dynamic Analysis of the National Innovation Systems Model: A Case Study of Taiwan’s Integrated Circuit Industry. University of Manchester, 2003. 19. Lee Y.-L., Tunzelmann N. A Dynamic Analytic Approach to National Innovation Systems: The IC Industry in Taiwan. Research Policy, 2005, vol. 34, no. 4, pp. 425–440. DOI: 10.1016/j.respol.2005.01.009 20. Kocsis G., Varga I. Agent Based Simulation of Spreading in Social-Systems of Temporarily Active Actors. Cellular Automata, 2014, vol. 8751, pp. 330–338. DOI: 10.1007/978-3-319-11520-7_34 21. Malerba F. Sectoral Systems: How and why innovation differs across sectors. The Oxford Handbook of Innovation. Fagerberg J., Mowery D. (eds.). New York: Oxford University Press, 2005, pp. 380–406. DOI: 10.1093/oxfordhb/9780199286805.003.0014 22. Rogers E.M. Diffusion of Innovations. 5 th ed. New York: The Free Press, 2003, 576 р. 23. Stamboulis Y. Exploring the System Dynamics of Innovation Systems.The 2008 International Conference of the System Dynamics Society (July 20–24, 2008, Athens): Conference Proceedings. Available at: . (accessed 12 February 2015). 24. Wolfram S. A New Kind of Science, 2002, 1197 p. Available at: http//www.wolframscience.com/nksonline/toc.html (accessed 23 January 2015). |
| Financing | |
| Date |