Distance-based accessibility indices

Csató, László (2015) Distance-based accessibility indices. Working Paper. Corvinus University of Budapest Faculty of Economics.

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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.

Item Type:Monograph (Working Paper)
Series Name:Corvinus Economics Working Papers - CEWP
Series Number / Identification Number:2015/12
Uncontrolled Keywords:networks, geography, accessibility, distance sum, axiomatic approach
JEL classification:D85 - Information, Knowledge, and Uncertainty: Network Formation and Analysis: Theory
Z13 - Economic Sociology; Economic Anthropology; Social and Economic Stratification
Divisions:Faculty of Economics > Department of Mathematics
Subjects:Mathematics, Econometrics
Funders:MTA-SYLFF (The Ryoichi Sasakawa Young Leaders Fellowship Fund)
Projects:OTKA K 111797, MTA-BCE "Lendület" Strategic Interactions Research Group
ID Code:1986
Deposited By: Ádám Hoffmann
Deposited On:06 Jul 2015 15:16
Last Modified:06 Jul 2015 15:16

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