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Opportune moment strategies for a cost spanning tree game

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Abstract

Cost spanning tree problems concern the construction of a tree which provides a connection with the source for every node of the network. In this paper, we address cost sharing problems associated to these situations when the agents located at the nodes act in a non-cooperative way. A class of strategies is proposed which produce minimum cost spanning trees and, at the same time, are strong Nash equilibria for a non-cooperative game associated to the problem. They are also subgame perfect Nash equilibria.

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Authors and Affiliations

  1. Seville University, Seville, Spain

    F. R. Fernández, A. M. Mármol & J. Puerto

  2. Department of Economics, Quantitative Methods and Economic History, Pablo de Olavide University, Ctra. Utrera, Km 1, 48013, Seville, Spain

    M. A. Hinojosa

Authors
  1. F. R. Fernández
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  2. M. A. Hinojosa
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  3. A. M. Mármol
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  4. J. Puerto
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Correspondence to M. A. Hinojosa.

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Fernández, F.R., Hinojosa, M.A., Mármol, A.M. et al. Opportune moment strategies for a cost spanning tree game. Math Meth Oper Res 70, 451–463 (2009). https://doi.org/10.1007/s00186-008-0279-9

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  • DOI: https://doi.org/10.1007/s00186-008-0279-9

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