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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

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    File URL: https://mpra.ub.uni-muenchen.de/28974/1/MPRA_paper_28974.pdf
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    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, January.
    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, November.
    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, November.
    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.
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    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

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