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The dynamics of functioning investigating societal transitions with partial differential equations

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  • Hans Haan

    (Erasmus University Rotterdam)

Abstract

In this article a mathematical framework is introduced and explored for the study of processes in societal transitions. A transition is conceptualised as a fundamental shift in the functioning of a societal system. The framework views functioning as a real-valued field defined upon a real variable. The initial status quo prior to a transition is captured in a field called the regime and the alternative that possibly takes over is represented in a field called a niche. Think for example of a transition in an energy supply system, where the regime could be centrally produced, fossil fuel based energy supply and a niche decentralised renewable energy production. The article then proceeds to translate theoretical notions on the interactions and dynamics of regimes and niches from transition literature into the language of this framework. This is subsequently elaborated in some simple models and studied analytically or by means of computer simulation.

Suggested Citation

  • Hans Haan, 2008. "The dynamics of functioning investigating societal transitions with partial differential equations," Computational and Mathematical Organization Theory, Springer, vol. 14(4), pages 302-319, December.
    • Handle: RePEc:spr:comaot:v:14:y:2008:i:4:d:10.1007_s10588-008-9034-2
    DOI: 10.1007/s10588-008-9034-2
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    References listed on IDEAS

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    1. Rotmans, J., 2005. "Societal Innovation: between dream and reality lies complexity," ERIM Inaugural Address Series Research in Management 7293, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam..
    2. Laver, Michael, 2005. "Policy and the Dynamics of Political Competition," American Political Science Review, Cambridge University Press, vol. 99(2), pages 263-281, May.
    3. Johan Schot & Frank Geels, 2007. "Niches in evolutionary theories of technical change," Journal of Evolutionary Economics, Springer, vol. 17(5), pages 605-622, October.
    4. Nelson, Richard R. & Winter, Sidney G., 1993. "In search of useful theory of innovation," Research Policy, Elsevier, vol. 22(2), pages 108-108, April.
    5. Levinthal, Daniel A, 1998. "The Slow Pace of Rapid Technological Change: Gradualism and Punctuation in Technological Change," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 7(2), pages 217-247, June.
    6. Noam Bergman & Alex Haxeltine & Lorraine Whitmarsh & Jonathan Köhler & Michel Schilperoord & Jan Rotmans, 2008. "Modelling Socio-Technical Transition Patterns and Pathways," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 11(3), pages 1-7.
    7. Kollman, Ken & Miller, John H. & Page, Scott E., 1992. "Adaptive Parties in Spatial Elections," American Political Science Review, Cambridge University Press, vol. 86(4), pages 929-937, December.
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    Cited by:

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    2. Fjalar J. De Haan & Briony C. Rogers, 2019. "The Multi-Pattern Approach for Systematic Analysis of Transition Pathways," Sustainability, MDPI, vol. 11(2), pages 1-30, January.

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