Abstract
This research focuses on the behavior of isolated payment systems. Our previous analysis of the isolated ‘consumer-to-business’ (C2B) and ‘peer-to-peer’ (P2P) payment systems has shown that their behavior can be analyzed using modifications of the Bass equations. In this paper, this approach is extended to the analysis to `hybrid' payment systems with both C2B and P2P functionality using Ricatti equations. We derived universal solution which contains previously obtained C2B and P2P solutions as particular cases. The results are illustrated by analytical solutions for different system parameters and practical examples.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
European Central Bank: The payment system. In: Kokkola, T. (ed.) (2010). https://www.ecb.europa.eu/pub/pdf/other/paymentsystem201009en.pdf
Laffont, J.-J.: Regulation and Development. p. 440. Cambridge University Press, NY (2005)
Sberbank: Tinkoff Bank launch money transfers using mobile phone number. In: AK&M. 13 July 2018. http://www.akm.ru/eng/news/2018/july/16/ns6071431.htm
BCG Global Payments Report: Tapping into Pockets of Growth (2019). https://www.bcg.com/en-us/publications/2019/global-payments-tapping-into-pockets-growth.aspx
Dostov, V.L., Shust, P.M.: Evolution of the electronic payments industry: problems of quality transition. In: Russian Academy of National Economy and Public Administration under the President of the Russian Federation. Moscow (2017). (in Russian). https://doi.org/10.2139/ssrn.2970963
Dostov, V., Shoust, P., Popova, E.: Using mathematical models to describe the dynamics of the spread of traditional and cryptocurrency payment systems. In: Computational Science and Its Applications—ICCSA 2019. Springer, 19th International Conference Saint Petersburg, Russia, July 1–4, 2019 Proceedings, Part II, pp. 457–471 (2019)
Dostov, V., Shust, P., Popova, E.: Using mathematical models for analysis and prediction of payment systems behavior. In: 34th International Business Information Management Association Conference (IBIMA), Madrid, Spain, 13–14 Nov 2019, ISBN 978-0-9998551-3-3, IBIMA Publishing, King of Prussia, PA, forthcoming
Zitikis R.: Analysis of indices of economic inequality from a mathematical point of view. In: RePAd Working Paper Series lrsp-TRS366, Département des sciences administratives, UQO (2002)
Ispolatov, S., Krapivsky, P. Redner, S.: Wealth Distributions in Models of Capital Exchange. Quantitative Finance Papers (1997). https://doi.org/10.1007/s100510050249
The Bass Model: Bass’s Basement Research Institute. http://bassbasement.org/BassModel/Default.aspx
Eremina A., Yumabaev D.: Russians make more C2C transactions that card payments in stores. Vedomosti, 16 Mar 2018
Simmons, G., Robertson, J.: Differential equations with applications and historical notes, 2nd edn. In: International Series in Pure and Applied Mathematics, p. 640. McGraw-Hill (1991)
WebMoney Statistics and company information. https://www.webmoney.ru/eng/information/statistic/
Central Bank of Russia Statistics: The number of payment cards issued by credit institutions and the Bank of Russia. https://cbr.ru/statistics/psrf/sheet013
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Dostov, V., Shust, P., Krivoruchko, S. (2021). Using Mathematical Models for Analysis and Prediction of Payment Systems Behavior. In: Yang, XS., Sherratt, R.S., Dey, N., Joshi, A. (eds) Proceedings of Fifth International Congress on Information and Communication Technology. ICICT 2020. Advances in Intelligent Systems and Computing, vol 1183. Springer, Singapore. https://doi.org/10.1007/978-981-15-5856-6_58
Download citation
DOI: https://doi.org/10.1007/978-981-15-5856-6_58
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-5855-9
Online ISBN: 978-981-15-5856-6
eBook Packages: EngineeringEngineering (R0)