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Price of Anarchy in the Link Destruction (Adversary) Model

In: Operations Research Proceedings 2014

Author

Listed:
  • Lasse Kliemann

    (Kiel University)

Abstract

In this model of network formation, players anticipate the destruction of one link, which is chosen according to a known probability distribution. Their cost is the cost for building links plus the expected number of other players to which connection will be lost as a result of the link destruction. We consider different equilibrium concepts (Nash equilibrium, pairwise Nash equilibrium, pairwise stability) and two different ways in which the probability distribution depends on the network.

Suggested Citation

  • Lasse Kliemann, 2016. "Price of Anarchy in the Link Destruction (Adversary) Model," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 285-291, Springer.
  • Handle: RePEc:spr:oprchp:978-3-319-28697-6_40
    DOI: 10.1007/978-3-319-28697-6_40
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    Cited by:

    1. Lasse Kliemann & Elmira Shirazi Sheykhdarabadi & Anand Srivastav, 2017. "Swap Equilibria under Link and Vertex Destruction," Games, MDPI, vol. 8(1), pages 1-18, February.

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