Beyond replicator dynamics: Innovation-selection dynamics and optimal diversity
We propose a new evolutionary approach to model technological change based on an extension of replicator dynamics with recombination and mutation. It gives rise to interactive innovation-selection dynamics. The model allows studying the combined effects of selection and variety generation on evolutionary-economic change. The developed framework describes a population of boundedly rational entrepreneurs who decide each period on the allocation of investments in different production technologies. They tend to invest in below-average cost technologies, just as under replicator dynamics. In addition, they spend a constant fraction of investments, captured by mutation and recombination rates, on alternative technologies and research on recombinant innovation. As opposed to most previous studies, mutation and recombination are here conceptual variables with a concrete behavioral interpretation, namely describing the decision rules (heuristics) of investors. We compare the dynamics of shares of investments in various technologies for three cases: with constant costs of capital, with costs decreasing steadily and exogenously over time, and with costs depending on the level of cumulative investments. For each model version, we examine under which conditions the coexistence of technological options is feasible and optimal in terms of minimizing the average cost of investments.
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.
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.
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.:
- Murat Yildizoglu, 1999.
"Competing R&D Strategies in an Evolutionary Industry Model,"
Computing in Economics and Finance 1999
343, Society for Computational Economics.
- Yildizoglu, Murat, 2002. "Competing R&D Strategies in an Evolutionary Industry Model," Computational Economics, Society for Computational Economics, vol. 19(1), pages 51-65, February.
- Murat Yildizoglu, 1999. "Competing R&D Strategies in an Evolutionary Industry Model," Working Papers of BETA 9914, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Olsson, Ola & Frey, Bruno S., 2001.
"Entrepreneurship As Recombinant Growth,"
Working Papers in Economics
51, University of Gothenburg, Department of Economics.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993.
"Learning, Mutation, and Long Run Equilibria in Games,"
Econometric Society, vol. 61(1), pages 29-56, January.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Bomze Immanuel M. & Burger Reinhard, 1995. "Stability by Mutation in Evolutionary Games," Games and Economic Behavior, Elsevier, vol. 11(2), pages 146-172, November.
- Karolina Safarzynska & Jeroen C.J.M. van den Bergh, 2008. "Evolutionary Modelling in Economics: A Survey of Methods and Building Blocks," Papers on Economics and Evolution 2008-06, Philipps University Marburg, Department of Geography.
- D. Canning, 2010.
"Average Behavior in Learning Models,"
Levine's Working Paper Archive
490, David K. Levine.
- Michael Kopel & Herbert Dawid, 1998. "On economic applications of the genetic algorithm: a model of the cobweb type," Journal of Evolutionary Economics, Springer, vol. 8(3), pages 297-315.
- Iwai, Katsuhito, 1984. "Schumpeterian dynamics : An evolutionary model of innovation and imitation," Journal of Economic Behavior & Organization, Elsevier, vol. 5(2), pages 159-190, June.
- Miller, John H., 1996. "The coevolution of automata in the repeated Prisoner's Dilemma," Journal of Economic Behavior & Organization, Elsevier, vol. 29(1), pages 87-112, January.
- Paul Windrum & Chris Birchenhall, 2005.
"Structural change in the presence of network externalities: a co-evolutionary model of technological successions,"
Journal of Evolutionary Economics,
Springer, vol. 15(2), pages 123-148, January.
- Windrum Paul & Birchenhall Chris, 2004. "Structural change in the presence of network externalities: a co-evolutionary model of technological successions," Research Memorandum 012, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
- van den Bergh, Jeroen C.J.M., 2008. "Optimal diversity: Increasing returns versus recombinant innovation," Journal of Economic Behavior & Organization, Elsevier, vol. 68(3-4), pages 565-580, December.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Martin L. Weitzman, 1995.
Harvard Institute of Economic Research Working Papers
1722, Harvard - Institute of Economic Research.
- Iwai, Katsuhito, 1984. "Schumpeterian dynamics, Part II : Technological progress, firm growth and `economic selection'," Journal of Economic Behavior & Organization, Elsevier, vol. 5(3-4), pages 321-351.
- Chris Birchenhall & Nikos Kastrinos & Stan Metcalfe, 1997. "Genetic algorithms in evolutionary modelling," Journal of Evolutionary Economics, Springer, vol. 7(4), pages 375-393.
- Windrum, Paul & Birchenhall, Chris, 1998. "Is product life cycle theory a special case? Dominant designs and the emergence of market niches through coevolutionary-learning," Structural Change and Economic Dynamics, Elsevier, vol. 9(1), pages 109-134, March.
- Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
- P. Windrum, 2007. "Neo-Schumpeterian Simulation Models," Chapters, in: Elgar Companion to Neo-Schumpeterian Economics, chapter 26 Edward Elgar.
- Granstrand, Ove, 1998. "Towards a theory of the technology-based firm1," Research Policy, Elsevier, vol. 27(5), pages 465-489, September.
- Tsur, Yacov & Zemel, Amos, 2007. "Towards endogenous recombinant growth," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3459-3477, November.
- R. Aversi & G. Dosi & G. Fagiolo & M. Meacci & C. Olivetti, 1997. "Demand Dynamics With Socially Evolving Preferences," Working Papers ir97081, International Institute for Applied Systems Analysis.
- Fleming, Lee & Sorenson, Olav, 2001. "Technology as a complex adaptive system: evidence from patent data," Research Policy, Elsevier, vol. 30(7), pages 1019-1039, August.
- Kwasnicki, Witold & Kwasnicka, Halina, 1992. "Market, innovation, competition: An evolutionary model of industrial dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 19(3), pages 343-368, December.
- Saviotti, P P & Mani, G S, 1995. "Competition, Variety and Technological Evolution: A Replicator Dynamics Model," Journal of Evolutionary Economics, Springer, vol. 5(4), pages 369-92, December.
When requesting a correction, please mention this item's handle: RePEc:eee:jeborg:v:78:y:2011:i:3:p:229-245. 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: (Zhang, Lei)
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.