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Evolution of Harvesting Strategies: Replicator and Resource Dynamics

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Author Info

  • Joelle Noailly

    ()
    (Vrije Universiteit Amsterdam)

  • Jeroen van den Bergh

    ()
    (Vrije Universiteit Amsterdam & Autonomous University Barcelona)

  • Cees Withagen

    ()
    (Vrije Universiteit Amsterdam)

Abstract

Economic theories of managing renewable resources, such as fisheries and forestry, traditionally assume that individual harvesters are perfectly rational and thus able to compute the harvesting strategy that maximizes their discounted profits. The current paper presents an alternative approach based on bounded rationality and evolutionary mechanisms. It is assumed that individual harvesters face a choice between two harvesting strategies. The evolution of the distribution of strategies in the population is modeled through a replicator dynamics equation. The latter captures the idea that strategies yielding above average profits are demanded more than strategies yielding below average profits, so that the first type ends up accounting for a larger part in the population. From a mathematical perspective, the combination of resource and evolutionary processes leads to complex dynamics. The paper presents the existence and stability conditions for each steady-state of the system and analyzes dynamic paths to the equilibrium. In addition, effects of changes in prices are analyzed. A main result of the paper is that under certain conditions both strategies can survive in the long-run. This discussion paper has resulted in a publication in the Journal of Evolutionary Economics , 2003, 13(2), 183-200.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 01-056/3.

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Date of creation: 13 Jun 2001
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Handle: RePEc:dgr:uvatin:20010056

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Web page: http://www.tinbergen.nl

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Keywords: Evolutionary Economics - Renewable Resources - Common-Property Resource - Fishery;

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References

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  1. Jager, W. & Janssen, M. A. & De Vries, H. J. M. & De Greef, J. & Vlek, C. A. J., 2000. "Behaviour in commons dilemmas: Homo economicus and Homo psychologicus in an ecological-economic model," Ecological Economics, Elsevier, Elsevier, vol. 35(3), pages 357-379, December.
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Cited by:
  1. Lozano, Javier & Blanco, Ester & Rey-Maquieira, Javier, 2010. "Can ecolabels survive in the long run?: The role of initial conditions," Ecological Economics, Elsevier, Elsevier, vol. 69(12), pages 2525-2534, October.
  2. Antoci, Angelo & Borghesi, Simone & Marletto, Gerardo, 2012. "To drive or not to drive? A simple evolutionary model," MPRA Paper 39560, University Library of Munich, Germany.
  3. Richter, Andries & van Soest, Daan & Grasman, Johan, 2013. "Contagious cooperation, temptation, and ecosystem collapse," Journal of Environmental Economics and Management, Elsevier, vol. 66(1), pages 141-158.
  4. Jeroen C.J.M. van den Bergh, 2007. "Evolutionary Thinking in Environmental Economics," Tinbergen Institute Discussion Papers, Tinbergen Institute 07-018/3, Tinbergen Institute.
  5. Kallis, Giorgos & Norgaard, Richard B., 2010. "Coevolutionary ecological economics," Ecological Economics, Elsevier, Elsevier, vol. 69(4), pages 690-699, February.
  6. Klarl, Torben, 2011. "Market dynamics, dynamic resource management and environmental policy in the context of (strong) sustainability," Annual Conference 2011 (Frankfurt, Main): The Order of the World Economy - Lessons from the Crisis 48714, Verein für Socialpolitik / German Economic Association.
  7. Esther Blanco & Javier Lozano, 2012. "Evolutionary success and failure of wildlife conservancy programs," Working Papers, Faculty of Economics and Statistics, University of Innsbruck 2012-18, Faculty of Economics and Statistics, University of Innsbruck.
  8. Jeroen C.J.M. van den Bergh, 2004. "Evolutionary Analysis of the Relationship between Economic Growth, Environmental Quality and Resource Scarcity," Tinbergen Institute Discussion Papers, Tinbergen Institute 04-048/3, Tinbergen Institute.
  9. Constadina Passa & Anastasios Xepapadeas, 2007. "Modelling of Agricultural Behavior under the CAP Regime: Policy Effectiveness and Design," Working Papers, University of Crete, Department of Economics 0819, University of Crete, Department of Economics, revised 01 Jul 2008.
  10. Torben Klarl, 2013. "Market dynamics, dynamic resource management and environmental policy in the context of (strong) sustainability," Journal of Evolutionary Economics, Springer, Springer, vol. 23(4), pages 861-888, September.
  11. Nannen, Volker & van den Bergh, Jeroen C. J. M. & Eiben, A. E., 2008. "Impact of Environmental Dynamics on Economic Evolution: Uncertainty, Risk Aversion, and Policy," MPRA Paper 13834, University Library of Munich, Germany.
  12. Constadina Passa & Anastasios Xepapadeas, 2007. "Modelling of Agricultural Behavior under the CAP Regime: Assessment of Environmental Impacts and Policy Effectiveness," Working Papers, University of Crete, Department of Economics 0818, University of Crete, Department of Economics, revised 01 Jul 2008.
  13. Jeroen C.J.M. van den Bergh, 2007. "Evolutionary Thinking in Environmental Economics," Tinbergen Institute Discussion Papers, Tinbergen Institute 07-018/3, Tinbergen Institute.
  14. Jeroen C.J.M. van den Bergh, 2004. "Evolutionary Analysis of the Relationship between Economic Growth, Environmental Quality and Resource Scarcity," Tinbergen Institute Discussion Papers, Tinbergen Institute 04-048/3, Tinbergen Institute.

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