Dynamic Mixed Duopoly: A Model Motivated by Linux vs. Windows

This paper analyzes a dynamic mixed duopoly in which a profit-maximizing competitor interacts with a competitor that prices at zero (or marginal cost), with the cumulation of output affecting their relative positions over time. The modeling effort is motivated by interactions between Linux, an open-source operating system, and Microsoft's Windows in the computer server segment, and consequently emphasizes demand-side learning effects that generate dynamic scale economies (or network externalities). Analytical characterizations of the equilibrium under such conditions are offered, and some comparative static and welfare effects are examined.

[1]  Eric S. Raymond,et al.  The Cathedral and the Bazaar , 2000 .

[2]  Joseph Farrell,et al.  Installed base and compatibility : innovation, product preannouncements and predation , 1986 .

[3]  André de Palma,et al.  Privatization and efficiency in a differentiated industry , 1997 .

[4]  Jacques-François Thisse,et al.  Mixed Oligopoly With Differentiated Products , 1991 .

[5]  Toshihiro Matsumura,et al.  Partial privatization in mixed duopoly , 1998 .

[6]  M. Spence The Learning Curve and Competition , 1981 .

[7]  William C. Merrill,et al.  Government Firms in Oligopoly Industries: A Short-Run Analysis , 1966 .

[8]  M. Alvisi,et al.  Piracy and Quality Choice in Monopolistic Markets , 2002 .

[9]  Jurgen Bitzer Erosion of Monopoly Power Due to the Emergence of Linux , 2000 .

[10]  Edwin R. Otto Innovation: The Attacker's Advantage , 1986 .

[11]  Joseph Farrell,et al.  Standardization, Compatibility, and Innovation , 1985 .

[12]  Ying-Dar Lin,et al.  Open Source Software Development: An Overview , 2001, Computer.

[13]  B. Kogut,et al.  Open-source Software Development and Distributed Innovation , 2001 .

[14]  Kenneth J. Arrow,et al.  Optimal capital policy, the cost of capital, and myopic decision rules , 1964 .

[15]  Jürgen Bitzer,et al.  Commercial versus open source software: the role of product heterogeneity in competition , 2004 .

[16]  Audris Mockus,et al.  A case study of open source software development: the Apache server , 2000, Proceedings of the 2000 International Conference on Software Engineering. ICSE 2000 the New Millennium.

[17]  C. Shapiro The theory of business strategy. , 1989, The Rand journal of economics.

[18]  R. V. Wyk Innovation: The attacker's advantage : Richard N. Foster 316 pages, £14.95 (London, Macmillan, 1986) , 1987 .

[19]  Monika Schnitzer,et al.  Public Subsidies for Open Source? Some Economic Policy Issues of the Software Market , 2002 .

[20]  Thomas Fuller,et al.  How Microsoft Warded Off Rival , 2003 .

[21]  David Ross,et al.  Learning to Dominate , 1986 .

[22]  Jürgen Bitzer,et al.  Bug-fixing and code-writing: The private provision of open source software , 2005, Inf. Econ. Policy.

[23]  Eric A. von Hippel,et al.  How Open Source Software Works: 'Free' User-to-User Assistance? , 2000 .

[24]  Siobhan O’Mahony Guarding the commons: how community managed software projects protect their work , 2003 .

[25]  Knut Sydsæter,et al.  Optimal control theory with economic applications , 1987 .

[26]  James Bessen Open Source Software: Free Provision of Complex Public Goods , 2005 .

[27]  Brian K. Thorn,et al.  Discretionary Data Bases , 1987 .

[28]  Xiaopeng Xu,et al.  Development costs and open source software , 2002 .

[29]  Nicolas Jullien,et al.  "Libre" software : turning fads into institutions? , 2003 .

[30]  Flavio Delbono,et al.  GAME THEORETIC MODELS OF MIXED OLIGOPOLY , 1990 .

[31]  P. David Clio and the Economics of QWERTY , 1985 .

[32]  J. Tirole,et al.  Some Simple Economics of Open Source , 2002 .

[33]  Justin P. Johnson Open Source Software: Private Provision of a Public Good , 2002 .