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An approach to transportation network analysis via transferable utility games

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  • Hadas, Yuval
  • Gnecco, Giorgio
  • Sanguineti, Marcello

Abstract

Network connectivity is an important aspect of any transportation network, as the role of the network is to provide a society with the ability to easily travel from point to point using various modes. A basic question in network analysis concerns how “important” each node is. An important node might, for example, greatly contribute to short connections between many pairs of nodes, handle a large amount of the traffic, generate relevant information, represent a bridge between two areas, etc. In order to quantify the relative importance of nodes, one possible approach uses the concept of centrality. A limitation of classical centrality measures is the fact that they evaluate nodes based on their individual contributions to the functioning of the network. The present paper introduces a game theory approach, based on cooperative games with transferable utility. Given a transportation network, a game is defined taking into account the network topology, the weights associated with the arcs, and the demand based on an origin-destination matrix (weights associated with nodes). The network nodes represent the players in such a game. The Shapley value, which measures the relative importance of the players in transferable utility games, is used to identify the nodes that have a major role. For several network topologies, a comparison is made with well-known centrality measures. The results show that the suggested centrality measures outperform the classical ones, and provide an innovative approach for transportation network analysis.

Suggested Citation

  • Hadas, Yuval & Gnecco, Giorgio & Sanguineti, Marcello, 2017. "An approach to transportation network analysis via transferable utility games," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 120-143.
  • Handle: RePEc:eee:transb:v:105:y:2017:i:c:p:120-143
    DOI: 10.1016/j.trb.2017.08.029
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    References listed on IDEAS

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