Distance-based accessibility indices

László Csató

Corvinus Economics Working Papers (CEWP) from Corvinus University of Budapest

Abstract: The paper attempts to develop a suitable accessibility index for networks where each link has a value such that a smaller number is preferred like distance, cost, or travel time. A measure called distance sum is characterized by three independent properties: anonymity, an appropriately chosen independence axiom, and dominance preservation, which requires that a node not far to any other is at least as accessible. We argue for the need of eliminating the independence property in certain applications. Therefore generalized distance sum, a family of accessibility indices, will be suggested. It is linear, considers the accessibility of vertices besides their distances and depends on a parameter in order to control its deviation from distance sum. Generalized distance sum is anonymous and satisfies dominance preservation if its parameter meets a sufficient condition. Two detailed examples demonstrate its ability to reflect the vulnerability of accessibility to link disruptions.

Keywords: networks; geography; accessibility; distance sum; axiomatic approach (search for similar items in EconPapers)
JEL-codes: D85 Z13 (search for similar items in EconPapers)
Date: 2015-06-30
New Economics Papers: this item is included in nep-geo, nep-gth, nep-net and nep-ure
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:cvh:coecwp:2015/12

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