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Controlling Complexity in Spatial Modelling

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  • Jean Paelinck

Abstract

The present complexity approach is based on two assumptions: A1: measurability of deviations of outcomes with respect to reference values; A2 : extension of A1 to multi-set analysis. Complexity is then defined in terms of multi-set deviation compared to single-set ones; an interpretation is given in terms of information costs; examples show the relevance of the interpretation. As a useful by-product the explicit solution of the quadratic part of the discrete logistic ? one of the examples ? is derived; a set of pij-numbers is introduced, and a workable method for generating them exposed. Extensions are considered, in particular controllability. A further application is then proposed, namely to hypergraph conflict analysis, in particular conflict resolution. Many decisional conflicts at the spatial level can be axiomatised in this form; it is shown how the use of particular structures ? in the mathematical sense of that word ? of the problem allows of reducing greatly the degree of complexity of the problem, and hence the difficulty of finding a solution.

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  • Jean Paelinck, 2000. "Controlling Complexity in Spatial Modelling," CESifo Working Paper Series 362, CESifo.
    • Handle: RePEc:ces:ceswps:_362
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    References listed on IDEAS

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    1. Paelinck, J., 1978. "Spatial econometrics," Economics Letters, Elsevier, vol. 1(1), pages 59-63.
    2. van Gastel, M. A. J. J. & Paelinck, J. H. P., 1991. "Hypergraph conflict analysis," Economics Letters, Elsevier, vol. 35(3), pages 233-237, March.
    3. M.B.M. de Koster & J.H.P. Paelinck, 1984. "A Hypergraph Approach to Conflict," Conflict Management and Peace Science, Peace Science Society (International), vol. 7(2), pages 55-69, February.
    4. R. van Gastel & J.H.P. Paelinck, 1988. "Hypergraph Conflict Analysis: Synthesis and Extension," Conflict Management and Peace Science, Peace Science Society (International), vol. 10(1), pages 59-86, February.
    5. J. H. P. Paelinck & R. G. Kulkarni, 1999. "Location-allocation aspects of Tinbergen-Bos systems," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 33(4), pages 573-580.
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    Cited by:

    1. Bernard COUTROT & Jean H.P. PAELINCK & Alain SALLEZ & Ryan SUTTER, 2009. "On Potentialized Partial Finite Difference Equations: Analyzing The Complexity Of Knowledge-Based Spatial Economic Developments," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 29, pages 237-264.

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