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Beyond replicator dynamics: Innovation-selection dynamics and optimal diversity

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Author Info

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

Abstract

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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Bibliographic Info

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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Web page: http://www.elsevier.com/locate/jebo

Related research

Keywords: Bounded rationality Induced technological change Investment theory Learning curve Optimal diversity Recombinant innovation Replicator dynamics;

References

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Citations

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Cited by:
  1. Paolo Zeppini & Koen Frenken & Roland Kupers, 2013. "Threshold models of technological transitions," Eindhoven Center for Innovation Studies (ECIS) working paper series 13-06, Eindhoven Center for Innovation Studies (ECIS), revised Aug 2013.
  2. Safarzyńska, Karolina & Frenken, Koen & van den Bergh, Jeroen C.J.M., 2012. "Evolutionary theorizing and modeling of sustainability transitions," Research Policy, Elsevier, vol. 41(6), pages 1011-1024.
  3. Salvador Pueyo, 2014. "Ecological Econophysics for Degrowth," Sustainability, MDPI, Open Access Journal, vol. 6(6), pages 3431-3483, May.
  4. Jan-Dirk Schmöcker & Tsuyoshi Hatori & David Watling, 2014. "Dynamic process model of mass effects on travel demand," Transportation, Springer, vol. 41(2), pages 279-304, March.
  5. Marchese, Carla & Marsiglio, Simone & Privileggi, Fabio & Ramello, Giovanni, 2014. "Endogenous Recombinant Growth through Market Production of Knowledge and Intellectual Property Rights," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201413, University of Turin.

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