IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/28974.html
   My bibliography  Save this paper

Экономико-Математическое Моделирование Рынка Программного Обеспечения: Монография. — М.: Вега-Инфо, 2009. — 176 С
[Economic and mathematical modelling of software market]

Author

Listed:
  • Soloviev, Vladimir

Abstract

Software market is considered as a new object for the mathematical economics. A statistical study of the server operating systems market is provided, static and dynamic models of for-profit and non-for-profit software developers mixed duopoly are built (taking into account market growth, interactions with hardware vendors, software piracy, and non-zero technical support costs). Stochastic generalizations of the Harrod – Domar model, Solow model, and the fundamental model of innovations diffusion model in terms of spatial heterogeneous economy are developed. The generalization of the Pontryagin maximum principle for distributed economic systems optimal control is formulated. The book is intended for academics specializing in mathematical economics and knowledge economics and university students of economics.

Suggested Citation

  • Soloviev, Vladimir, 2009. "Экономико-Математическое Моделирование Рынка Программного Обеспечения: Монография. — М.: Вега-Инфо, 2009. — 176 С [Economic and mathematical modelling of software market]," MPRA Paper 28974, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:28974
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/28974/1/MPRA_paper_28974.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Varian,Hal R. & Farrell,Joseph & Shapiro,Carl, 2004. "The Economics of Information Technology," Cambridge Books, Cambridge University Press, number 9780521844154, November.
    2. Parker, Philip M., 1994. "Aggregate diffusion forecasting models in marketing: A critical review," International Journal of Forecasting, Elsevier, vol. 10(2), pages 353-380, September.
    3. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
    4. Bernard S. Black & Inessa Love & Andrei Rachinsky, 2005. "Corporate Governance and Firms' Market Values: Time Series Evidence from Russia," Working Papers w0053, Center for Economic and Financial Research (CEFIR).
    5. Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
    6. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, January.
    7. Yermack, David, 1996. "Higher market valuation of companies with a small board of directors," Journal of Financial Economics, Elsevier, vol. 40(2), pages 185-211, February.
    8. Gary L. Lilien & Ambar G. Rao & Shlomo Kalish, 1981. "Bayesian Estimation and Control of Detailing Effort in a Repeat Purchase Diffusion Environment," Management Science, INFORMS, vol. 27(5), pages 493-506, May.
    9. Vijay Mahajan & Eitan Muller & Frank M. Bass, 1995. "Diffusion of New Products: Empirical Generalizations and Managerial Uses," Marketing Science, INFORMS, vol. 14(3_supplem), pages 79-88.
    10. Ambar G. Rao & Masataka Yamada, 1988. "Forecasting with a Repeat Purchase Diffusion Model," Management Science, INFORMS, vol. 34(6), pages 734-752, June.
    11. Ramon Casadesus-Masanell & Barry Nalebuff & David B. Yoffie, 2007. "Competing Complements," Working Papers 07-44, NET Institute, revised Nov 2007.
    12. Danilov, Vladimir I. & Koshevoy, Gleb A. & Sotskov, Alexandr I., 1997. "Equilibrium analysis of an economy with innovations," Journal of Mathematical Economics, Elsevier, vol. 27(2), pages 195-228, March.
    13. Vijay Mahajan & Eitan Muller & Roger A. Kerin, 1984. "Introduction Strategy for New Products with Positive and Negative Word-of-Mouth," Management Science, INFORMS, vol. 30(12), pages 1389-1404, December.
    14. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    15. Danilov, Vladimir I. & Koshevoy, Gleb A. & Sotskov, Aleksandr I., 1994. "Equilibrium in a market of intellectual goods," Mathematical Social Sciences, Elsevier, vol. 27(2), pages 133-144, April.
    16. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    17. Ramon Casadesus-Masanell & Pankaj Ghemawat, 2006. "Dynamic Mixed Duopoly: A Model Motivated by Linux vs. Windows," Management Science, INFORMS, vol. 52(7), pages 1072-1084, July.
    18. Ross, David R, 1986. "Learning to Dominate," Journal of Industrial Economics, Wiley Blackwell, vol. 34(4), pages 337-353, June.
    19. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, January.
    20. Black, Bernard, 2001. "The corporate governance behavior and market value of Russian firms," Emerging Markets Review, Elsevier, vol. 2(2), pages 89-108, June.
    21. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 488-500.
    22. Black, Bernard S. & Love, Inessa & Rachinsky, Andrei, 2006. "Corporate governance indices and firms' market values: Time series evidence from Russia," Emerging Markets Review, Elsevier, vol. 7(4), pages 361-379, December.
    23. Barry Nalebuff, 2004. "Bundling as an Entry Barrier," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(1), pages 159-187.
    24. Frank M. Bass, 1995. "Empirical Generalizations and Marketing Science: A Personal View," Marketing Science, INFORMS, vol. 14(3_supplem), pages 6-19.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vladimir I. Soloviev & Natalia A. Iliina & Marina V. Samoyavcheva, 2009. "Cournot Equilibrium In A Model Of Hardware And Software Manufacturers' Interaction," Annales Universitatis Apulensis Series Oeconomica, Faculty of Sciences, "1 Decembrie 1918" University, Alba Iulia, vol. 1(11), pages 1-4.
    2. Qin, Ruwen & Nembhard, David A., 2012. "Demand modeling of stochastic product diffusion over the life cycle," International Journal of Production Economics, Elsevier, vol. 137(2), pages 201-210.
    3. Kim, Namwoon & Srivastava, Rajendra K. & Han, Jin K., 2001. "Consumer decision-making in a multi-generational choice set context," Journal of Business Research, Elsevier, vol. 53(3), pages 123-136, September.
    4. Guo, Xuezhen, 2014. "A novel Bass-type model for product life cycle quantification using aggregate market data," International Journal of Production Economics, Elsevier, vol. 158(C), pages 208-216.
    5. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2017. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Working Papers hal-01592958, HAL.
    6. Frank M. Bass, 2004. "Comments on "A New Product Growth for Model Consumer Durables The Bass Model"," Management Science, INFORMS, vol. 50(12_supple), pages 1833-1840, December.
    7. Laussel, Didier & Resende, Joana, 2014. "Dynamic price competition in aftermarkets with network effects," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 106-118.
    8. Ruiz-Conde, Enar & Wieringa, Jaap E. & Leeflang, Peter S.H., 2014. "Competitive diffusion of new prescription drugs: The role of pharmaceutical marketing investment," Technological Forecasting and Social Change, Elsevier, vol. 88(C), pages 49-63.
    9. Kurdgelashvili, Lado & Shih, Cheng-Hao & Yang, Fan & Garg, Mehul, 2019. "An empirical analysis of county-level residential PV adoption in California," Technological Forecasting and Social Change, Elsevier, vol. 139(C), pages 321-333.
    10. Jörn‐Henrik Thun & Jürgen Strohhecker, 2012. "Are We Surrounded by Penguins? The Diffusion of System Dynamics in Academia Analysed with System Dynamics," Systems Research and Behavioral Science, Wiley Blackwell, vol. 29(4), pages 436-447, July.
    11. Tolotti, Marco & Yepez, Jorge, 2020. "Hotelling-Bertrand duopoly competition under firm-specific network effects," Journal of Economic Behavior & Organization, Elsevier, vol. 176(C), pages 105-128.
    12. Bronwyn H. Hall, 2004. "Innovation and Diffusion," NBER Working Papers 10212, National Bureau of Economic Research, Inc.
    13. Martin Hewing, 2012. "A Theoretical and Empirical Comparison of Innovation Diffusion Models Applying Data from the Software Industry," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 3(2), pages 125-141, June.
    14. Mihails Kuznecovs & Sarmistha Pal, 2011. "Does Corporate Governance Reform Necessarily Boost Firm Performance? Recent Evidence from Russia," CEDI Discussion Paper Series 11-06, Centre for Economic Development and Institutions(CEDI), Brunel University.
    15. Hiroshi Kitamura, 2010. "Capacity Expansion In Markets With Inter‐Temporal Consumption Externalities," Australian Economic Papers, Wiley Blackwell, vol. 49(2), pages 127-148, June.
    16. Amir, Rabah & Machowska, Dominika & Troege, Michael, 2021. "Advertising patterns in a dynamic oligopolistic growing market with decay," Journal of Economic Dynamics and Control, Elsevier, vol. 131(C).
    17. Chul-Yong Lee & Sung-Yoon Huh, 2017. "Technology Forecasting Using a Diffusion Model Incorporating Replacement Purchases," Sustainability, MDPI, vol. 9(6), pages 1-14, June.
    18. Connelly, J. Thomas & Limpaphayom, Piman & Nguyen, Hien T. & Tran, Thanh D., 2017. "A tale of two cities: Economic development, corporate governance and firm value in Vietnam," Research in International Business and Finance, Elsevier, vol. 42(C), pages 102-123.
    19. Mesak, Hani I. & Bari, Abdullahel & Babin, Barry J. & Birou, Laura M. & Jurkus, Anthony, 2011. "Optimum advertising policy over time for subscriber service innovations in the presence of service cost learning and customers' disadoption," European Journal of Operational Research, Elsevier, vol. 211(3), pages 642-649, June.
    20. Delre, S.A. & Jager, W. & Bijmolt, T.H.A. & Janssen, M.A., 2007. "Targeting and timing promotional activities: An agent-based model for the takeoff of new products," Journal of Business Research, Elsevier, vol. 60(8), pages 826-835, August.

    More about this item

    Keywords

    open software; free software; proprietary software; mixed oligopoly;
    All these keywords.

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L17 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Open Source Products and Markets
    • L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • L86 - Industrial Organization - - Industry Studies: Services - - - Information and Internet Services; Computer Software
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:28974. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.