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Spatial Search Processes and Spatial Interaction: 1. Sequential Search, Intervening Opportunities, and Spatial Search Equilibrium

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  • Hubert Jayet

    (LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper some of the main properties of spatial interaction models deriving from a spatial search process are examined. First, a rigorous definition of the idea of sequentiality of a spatial search process is developed. The departure point of this definition is that if one moves from some region in space to another, so does the spatial repartition of opportunities to be found. Then, the probability of finding an opportunity within the region one leaves decreases, whereas it increases for the region one is going into. Second, it is shown that when a spatial search process is sequential, the corresponding spatial interaction function is one of intervening opportunities. In the last part of the paper a spatial search equilibrium when searchers are competing for the same opportunities is examined. It appears that the effect of competition on one's search process is given by a competing searchers effect, corresponding to the mean duration of vacant opportunities.
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Suggested Citation

  • Hubert Jayet, 2016. "Spatial Search Processes and Spatial Interaction: 1. Sequential Search, Intervening Opportunities, and Spatial Search Equilibrium," Post-Print hal-02358317, HAL.
    • Handle: RePEc:hal:journl:hal-02358317
    DOI: 10.1068/a220583
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    Cited by:

    1. Wasmer, Etienne & Zenou, Yves, 1999. "Does Space Affect Search? A Theory of Local Unemployment," CEPR Discussion Papers 2157, C.E.P.R. Discussion Papers.
    2. Wasmer, Etienne & Zenou, Yves, 2002. "Does City Structure Affect Job Search and Welfare?," Journal of Urban Economics, Elsevier, vol. 51(3), pages 515-541, May.
    3. H Jayet, 1990. "Spatial Search Processes and Spatial Interaction: 2. Polarization, Concentration, and Spatial Search Equilibrium," Environment and Planning A, , vol. 22(6), pages 719-732, June.
    4. Yongwan Chun, 2008. "Modeling network autocorrelation within migration flows by eigenvector spatial filtering," Journal of Geographical Systems, Springer, vol. 10(4), pages 317-344, December.

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