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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.
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    3. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
    4. 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.
    5. 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.
    6. 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.
    7. 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).
    8. Ramon Casadesus-Masanell & Barry Nalebuff & David B. Yoffie, 2007. "Competing Complements," Working Papers 07-44, NET Institute, revised Nov 2007.
    9. 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.
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    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    open software; free software; proprietary software; mixed oligopoly;

    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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