Advanced Search
MyIDEAS: Login

Self-organization of R&D search in complex technology spaces

Contents:

Author Info

  • Gerald Silverberg

    ()

  • Bart Verspagen

    ()

Abstract

We extend an earlier model of innovation dynamics based on invasive percolation by adding endogenous R&D search by economically motivated firms. The {0,1} seeding of the technol-ogy lattice is now replaced by draws from a lognormal distribution for technology ‘difficulty’. Firms are rewarded for successful innovations by increases in their R&D budget. We compare two regimes. In the first, firms are fixed in a region of technology space. In the second, they can change their location by myopically comparing progress in their local neighborhoods and probabilistically moving to the region with the highest recent progress. We call this the mov-ing or self-organizational regime. We find that as the mean and standard deviation of the log-normal distribution are varied, the relative rates of aggregate innovation switches between the two regimes. The SO regime has higher innovation rates, other things being equal, for lower means or higher standard deviations of the lognormal distribution. This results holds for in-creasing size of the search radius. The clustering of firms in the SO regime grows rapidly and fluctuates in a complex way around a high value which increases with the search radius. We also investigate the size distributions of the innovations generated in each regime. In the fixed one, the distribution is approximately lognormal and certainly not fat tailed. In the SO regime, the distributions are radically different. They are much more highly right skewed and show scaling over at least two decades with a slope of almost exactly one, independently of parame-ter settings. Thus we argue that firm self-organization leads to self-organized criticality. (Keywords: innovation, percolation, search, technological change, R&D, clustering, self-organized criticality.

(This abstract was borrowed from another version of this item.)

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://hdl.handle.net/10.1007/s11403-006-0008-5
Download Restriction: Access to full text is restricted to subscribers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Springer in its journal Journal of Economic Interaction and Coordination.

Volume (Year): 2 (2007)
Issue (Month): 2 (December)
Pages: 211-229

as in new window
Handle: RePEc:spr:jeicoo:v:2:y:2007:i:2:p:211-229

Contact details of provider:
Web page: http://www.springer.com/economics/economic+theory/journal/11403

Order Information:
Web: http://link.springer.de/orders.htm

Related research

Keywords: Innovation; Percolation; Search; Technological change; R&D; Clustering; Self-organized criticality; C15; C63; D83; O31;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Foray, Dominique & Grubler, Arnulf, 1990. "Morphological analysis, diffusion and lockout of technologies: Ferrous casting in France and the FRG," Research Policy, Elsevier, vol. 19(6), pages 535-550, December.
  2. Manuel Trajtenberg, 1990. "A Penny for Your Quotes: Patent Citations and the Value of Innovations," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 172-187, Spring.
  3. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-38, July.
  4. F. M. Scherer & Dietmar Harhoff & J, rg Kukies, 2000. "Uncertainty and the size distribution of rewards from innovation," Journal of Evolutionary Economics, Springer, vol. 10(1), pages 175-200.
  5. Dietmar Harhoff & Francis Narin & F. M. Scherer & Katrin Vopel, 1999. "Citation Frequency And The Value Of Patented Inventions," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 511-515, August.
  6. Silverberg, G. & Verspagen, B., 2002. "A Percolation Model of Innovation in Complex Technology Spaces," Eindhoven Center for Innovation Studies (ECIS) working paper series 02.12, Eindhoven Center for Innovation Studies (ECIS).
  7. Silverberg, G. & Verspagen, B., 2004. "The size distribution of innovations revisited: an application of extreme value statistics to citation and value measures of patent significance," Working Papers 04.17, Eindhoven Center for Innovation Studies.
  8. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
  9. Scherer, Frederic M. & Harhoff, Dietmar & Vopel, Katrin, 1997. "Exploring the Tail of Patented Invention Value Distributions," ZEW Discussion Papers 97-30, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  10. Gerald Silverberg & Bart Verspagen, 2003. "Breaking the waves: a Poisson regression approach to Schumpeterian clustering of basic innovations," Cambridge Journal of Economics, Oxford University Press, vol. 27(5), pages 671-693, September.
  11. Silverberg, G. & Verspagen, B., 2003. "Brewing the future: stylized facts about innovation and their confrontation with a percolation model," Eindhoven Center for Innovation Studies (ECIS) working paper series 03.06, Eindhoven Center for Innovation Studies (ECIS).
  12. Frenken, Koen & Leydesdorff, Loet, 2000. "Scaling trajectories in civil aircraft (1913-1997)," Research Policy, Elsevier, vol. 29(3), pages 331-348, March.
  13. Silverberg, Gerald, 2002. "The discrete charm of the bourgeoisie: quantum and continuous perspectives on innovation and growth," Research Policy, Elsevier, vol. 31(8-9), pages 1275-1289, December.
  14. Nelson, Richard R. & Winter, Sidney G., 1977. "In search of useful theory of innovation," Research Policy, Elsevier, vol. 6(1), pages 36-76, January.
  15. Winter, Sidney G., 1984. "Schumpeterian competition in alternative technological regimes," Journal of Economic Behavior & Organization, Elsevier, vol. 5(3-4), pages 287-320.
  16. Scherer, F. M. & Harhoff, Dietmar, 2000. "Technology policy for a world of skew-distributed outcomes," Research Policy, Elsevier, vol. 29(4-5), pages 559-566, April.
  17. F. M. Scherer, 1998. "The Size Distribution of Profits from Innovation," Annales d'Economie et de Statistique, ENSAE, issue 49-50, pages 495-516.
  18. Barnett,William A. & Kirman,Alan P. & Salmon,Mark, 1997. "Nonlinear Dynamics and Economics," Cambridge Books, Cambridge University Press, number 9780521471411, October.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Sadowski, B.M. & Straathof, B., 2005. "VoIP under the EU Regulatory Framework: Preventing Foreclosure?," Eindhoven Center for Innovation Studies (ECIS) working paper series 05.16, Eindhoven Center for Innovation Studies (ECIS).
  2. Massimo Ricottilli, 2006. "Constraints and Freedom of Action: a fitness trade-off," Working Papers 580, Dipartimento Scienze Economiche, Universita' di Bologna.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:spr:jeicoo:v:2:y:2007:i:2:p:211-229. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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