Models of the spread of innovations: from description to control of innovation processes

As a result of the analysis, the classification of existing and proposed models of the spread of innovations was given. The six classes of these models were singled out: spatial models, diffusion models, network models, strategic models, cellular automata models, econophysical models. The models were classified according to the mathematical apparatus; accounting for the mutual influence of innovations; the possibility of constructing an algorithm for control of the spread of innovations; analogies to define the metrics and the equations. There were limitations in the use of the first five classes. These restrictions are mainly related to their descriptive nature which does not take into account, among other things, the effect of the mutual influence of innovations. The econophysical class of models allows to give quantitative estimations and to build algorithms for control of the spread of innovations. It is more effective to use the methods of multi-agent simulation to implement these models

Keywords: the control of the spread of innovations, diffusion of innovation, the econophysical model, the comparative analysis of models, multi-agent simulation

References

  1. National technology initiative: List of orders of the Russian President in the Message to the Federal Assembly on 4.12.2014, M. 2014
  2. Fuchs G., Fahl U., Pyka A., Staber U. Voegele S., Weimer-Jehle W. Generating innovation scenarios using the cross-impact methodology // Discussion Papers Series. – N. 007-2008. – 2008.
  3. Thorleuchter D., Van den Poel D., Prinzie A. A compared R&D-based and patent-based cross impact analysis for identifying relationships between technologies. Technological Forecasting and Social Change, – 2010. – Vol. 77(7). – Pp. 1037-1050.]
  4. Frenkel A., Maital S. Mapping National Innovation Ecosystems: Foundations for Policy Consensus. London, UK: Edward Elgar Publishing. – 2014.
  5. Pelegrín B. Profit maximization and reduction of the cannibalization effect in chain expansion / B. Pelegrín, P. Fernández, M.D.G. Pérez // Annals of Operations Research. – 2014. – P. 1–19.
  6. Srinivasan S., Dekimpe M., Van Heerde H. Estimating cannibalization rates for pioneering innovations // Marketing Science. – 2010. – Pp. 1024–1039.
  7. Pertsev D.V. Project Portfolio Management Model Aimed at Launching New Products. // The International Journal Theoretical and Practical Aspects of Management. – M. – 2013. – P. 109–115.
  8. Volkova V.N. Methods of the organization of complex examinations / V.N. Volkova, A.A. Denisov. - SPb., SPbSTU. – 2010. – 129 p.
  9. Hagerstrand T. Innovation diffusion as a spatial process // Innovation diffusion as a spatial process. – 1968.
  10. Kandler A., Steele J. Innovation diffusion in time and space: effects of social information and of income inequality //Diffusion Fundamentals. – 2009. – Vol. 11. – №. 3. – Pp. 1–17.
  11. Zemtcov S. Diffusion of Innovation and Innovativeness of Russian Regions. – Moscow, 2014.
  12. Avramchikov V.M. Interference of waves of innovations diffusion / V.M. Avramchikov, A.M. Antamoshkin. – Moscow. – 2013. – № 2(8). – P. 4–8.
  13. Smith T., Song S. A spatial mixture model of innovation diffusion // Geographical Analysis. – 2004. – Vol. 36. – №. 2. – Pp. 119–145.
  14. Rogers E. M. Diffusion of Innovations, 3rd ed., New York. 1983.
  15. Bass, F.M. Modeling the marketing-mix influence in new-product diffusion / F.M. Bass, D. Jain, T. Krishnan // International series in quantitative marketing. − 2000. − vol. 11. − Pp. 99–122.
  16. Kalish S. Waterfall and sprinkler new product strategies in competitive global markets / S. Kalish, V. Mahajan, E. Muller // International Journal of Research in Marketing. – 1995. – 12. – Pp. 105–119.
  17. Muller E., Peres R., Mahajan V. Innovation Diffusion and New Product Growth: Beyond a Theory of Communications, Working Paper, 2007.
  18. Meghanathan N. Probabilistic Diffusion in Random Network Graphs //arXiv preprint arXiv:1511.06613. – 2015.
  19. Bharathi S. Competitive influence maximization in social networks / S. Bharathi, D. Kempe, M. Salek // Internet and Network Economics, pp. 306–311, 2007.

  20. Reinganum J. F. On the diffusion of new technology: A game theoretic approach //The Review of Economic Studies. – 1981. – Т. 48. – №. 3. – С. 395-405.
  21. Montanari A. The spread of innovations in social networks / A. Montanari, A. Saberi // Proceedings of the National Academy of Sciences. – 2010. – Т. 107. – №. 47.
  22. Kreindler G. Rapid innovation diffusion in social networks / G. Kreindler, H. Young // Proceedings of the National Academy of Sciences of the United States of America. – 2014
  23. Guidolin M. Aggregate and agent-based models for the diffusion of innovation. – 2007. — URL: http://paduaresearch.cab.unipd.it/161/
  24. Goldenberg J., Libai B., Muller E. The chilling effect of network externalities // International Journal of Research in Marketing. – 2010. – Vol. 27(1). – Pp. 4–15.
  25. Fibich G., Gibori R., Muller E. Analysis of cellular automata diffusion models in marketing // Working paper: Tel Aviv University. – 2009.
  26. Drobot D.A. Prevailing role of universities in the triple helix model / Drobot D.A., Drobot P.N., Uvarov A.F. // Innovations. – 2011. – Pp. 93–96.
  27. Kolbachev E.B. Methodology of natural science in economics and institutional evolution theory / Novocherkssk. – 2013. – Pp. 29–40.
  28. Mejía J. A forecast model for diffusion of innovations based on molecular diffusion / J. Mejía, R. Britto, O. Buitrago // Ciência e Técnica Vitivinícola. – 2015. – Vol. 30. – P. 41-54. 
  29. Laciana C.E. Ising-like agent-based technology diffusion model: adoption patterns vs. seeding strategies /Carlos E. Laciana, S. L. Rovere // Physica A: Statistical Mechanics and Its Applications, 390, 1139-1149.
  30. Devaud L. Influence of social networks on spatial diffusion of innovation / L. Devaud. – 2008. – p. 115.
  31. Benhabib J., Perla J., Tonetti C. The growth dynamics of innovation, diffusion, and the technology frontier //Report, New York University. [1057]. – 2016.
  32. Tukkel I.L. On the physical models of the spread of innovations in the socio-economic environment / I.L. Tukkel, N.A. Tsvetkova // Innovations. – 2015. – №11. – Pp. 30–34.
  33. Tsvetkova, N.A. Simulation modeling the spread of innovation / N.A. Tsvetkova, I.L. Tukkel, V.A. Ablyazov // Proceedings of the XXth International Conference on Soft Computing and Measurements. – 2017, Saint-Petersburg. – IEEE.

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