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Taxing Subnetworks

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5385))

Abstract

We study taxes in the well-known game theoretic traffic model due to Wardrop. Given a network and a subset of edges, on which we can impose taxes, the problem is to find taxes inducing an equilibrium flow of minimal network-wide latency cost. If all edges are taxable, then marginal cost pricing is known to induce the socially optimal flow for arbitrary multi-commodity networks. In contrast, if only a strict subset of edges is taxable, we show NP-hardness of finding optimal taxes for general networks with linear latency functions and two commodities. On the positive side, for single-commodity networks with parallel links and linear latency function, we provide a polynomial time algorithm for finding optimal taxes.

Supported by the DFG GK/1298 “AlgoSyn” and by the German Israeli Foundation (GIF) under contract 877/05.

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Hoefer, M., Olbrich, L., Skopalik, A. (2008). Taxing Subnetworks. In: Papadimitriou, C., Zhang, S. (eds) Internet and Network Economics. WINE 2008. Lecture Notes in Computer Science, vol 5385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92185-1_35

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  • DOI: https://doi.org/10.1007/978-3-540-92185-1_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92184-4

  • Online ISBN: 978-3-540-92185-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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