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Beyond replicator dynamics: Innovation-selection dynamics and optimal diversity

  • Safarzynska, Karolina
  • van den Bergh, Jeroen C.J.M.

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.

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Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

Volume (Year): 78 (2011)
Issue (Month): 3 (May)
Pages: 229-245

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Handle: RePEc:eee:jeborg:v:78:y:2011:i:3:p:229-245
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  1. D. Canning, 2010. "Average Behavior in Learning Models," Levine's Working Paper Archive 490, David K. Levine.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
  7. Bomze Immanuel M. & Burger Reinhard, 1995. "Stability by Mutation in Evolutionary Games," Games and Economic Behavior, Elsevier, vol. 11(2), pages 146-172, November.
  8. Olsson, Ola & Frey, Bruno S, 2002. " Entrepreneurship as Recombinant Growth," Small Business Economics, Springer, vol. 19(2), pages 69-80, September.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. Chris Birchenhall & Nikos Kastrinos & Stan Metcalfe, 1997. "Genetic algorithms in evolutionary modelling," Journal of Evolutionary Economics, Springer, vol. 7(4), pages 375-393.
  15. 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.
  16. Tsur, Yacov & Zemel, Amos, 2007. "Towards endogenous recombinant growth," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3459-3477, November.
  17. Martin L. Weitzman, 1998. "Recombinant Growth," The Quarterly Journal of Economics, MIT Press, vol. 113(2), pages 331-360, May.
  18. 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.
  19. P. Windrum, 2007. "Neo-Schumpeterian Simulation Models," Chapters, in: Elgar Companion to Neo-Schumpeterian Economics, chapter 26 Edward Elgar.
  20. Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
  21. Granstrand, Ove, 1998. "Towards a theory of the technology-based firm1," Research Policy, Elsevier, vol. 27(5), pages 465-489, September.
  22. 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.
  23. 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.
  24. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
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