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Heterogeneous product and process innovations for a multi-product monopolist under finite life-cycles of production technologies

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Listed author(s):
  • Bondarev, Anton A.

Abstract

Current paper analyses the influence of the length of production technologies life-cycles on the relative intensity of investments of a multi-product monopolist into different types of innovations. This monopolist is developing new versions of the basic product continuously and simultaneously invests into the production technologies of all these new products. In the paper the finite character of these products' life-cycles is assumed. These finite life-cycles are treated for the purposes of the paper as patents which are granted to the monopolist for the production and upgrading of every new product he/she introduces into the market. It is demonstrated that under the condition of finite-time life-cycles of new products the monopolist prefers to invest into process innovations for already introduced products rather than introducing the new ones in relative measure. It is argued, that this is not the case under infinite life-cycles for all these products where the monopolist invests relatively the same amounts into both types of innovations.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 38243.

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Date of creation: 20 Apr 2012
Handle: RePEc:pra:mprapa:38243
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Keywords: Heterogeneous Innovations; Economic Dynamics; Multiproduct Monopoly; Product Life-cycle; Distributed Control;

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Find related papers by JEL classification:
  • L0 - Industrial Organization - - General
  • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
  • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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  1. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
  2. Hopenhayn, Hugo A & Mitchell, Matthew F, 2001. "Innovation Variety and Patent Breadth," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 152-166, Spring.
  3. Anton Bondarev, 2012. "The long-run dynamics of product and process innovations for a multi-product monopolist," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 21(8), pages 775-799, November.
  4. Luca Lambertini & Raimondello Orsini, 2001. "Network Externalities and the Overprovision of Quality by a Monopolist," Southern Economic Journal, Southern Economic Association, vol. 67(4), pages 969-982, April.
  5. Bondarev, Anton, 2012. "Product and quality innovations: an optimal control approach," Center for Mathematical Economics Working Papers 439, Center for Mathematical Economics, Bielefeld University.
  6. Dawid, Herbert & Greiner, Alfred & Zou, Benteng, 2010. "Optimal foreign investment dynamics in the presence of technological spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 296-313, March.
  7. Vincenzo Denicolo, 2002. "Sequential innovation and the patent-antitrust conflict," Oxford Economic Papers, Oxford University Press, vol. 54(4), pages 649-668, October.
  8. Suzanne Scotchmer, 1996. "Protecting Early Innovators: Should Second-Generation Products Be Patentable?," RAND Journal of Economics, The RAND Corporation, vol. 27(2), pages 322-331, Summer.
  9. Bondarev, Anton A., 2012. "Optimal control over a continuous range of homogeneous and heterogeneous innovations with finite life-cycles," MPRA Paper 40068, University Library of Munich, Germany.
  10. Richard Gilbert & Carl Shapiro, 1990. "Optimal Patent Length and Breadth," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 106-112, Spring.
  11. Farrell, Joseph & Shapiro, Carl, 2004. "Intellectual Property, Competition, and Information Technology," Competition Policy Center, Working Paper Series qt3s03932b, Competition Policy Center, Institute for Business and Economic Research, UC Berkeley.
  12. Luca Lambertini, 2009. "Optimal Product Proliferation in Monopoly: A Dynamic Analysis," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 1(1), pages 80-97, September.
  13. Luca Lambertini & Andrea Mantovani, 2010. "Process and product innovation: A differential game approach to product life cycle," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(2), pages 227-252.
  14. Denicolo, Vincenzo, 1996. "Patent Races and Optimal Patent Breadth and Length," Journal of Industrial Economics, Wiley Blackwell, vol. 44(3), pages 249-265, September.
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Cited by:

  1. Bondarev, Anton A., 2012. "Optimal control over a continuous range of homogeneous and heterogeneous innovations with finite life-cycles," MPRA Paper 40068, University Library of Munich, Germany.

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