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The increasing gap dynamics in a general spatial matching model

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  • Fielbaum, Andres
  • Cominetti, Roberto
  • Correa, Jose

Abstract

We study a representation of a problem that appears in numerous transport systems: N servers distributed over a given space (e.g., cars on an urban network), receive random requests from arriving users who get assigned to the closest server, after which this server is replaced by a new one at a random location. We show that this creates a negative feedback loop, which we call Increasing Gap Dynamics (IGD): when a server is assigned a spatial gap forms, which is more likely to attract new users that further widen the gap.

Suggested Citation

  • Fielbaum, Andres & Cominetti, Roberto & Correa, Jose, 2026. "The increasing gap dynamics in a general spatial matching model," Transportation Research Part B: Methodological, Elsevier, vol. 211(C).
    • Handle: RePEc:eee:transb:v:211:y:2026:i:c:s0191261526001463
    DOI: 10.1016/j.trb.2026.103534
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