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Interplay between security providers, consumers, and attackers: a weighted congestion game approach

Author

Listed:
  • Patrick Maillé

    (RSM - Département Réseaux, Sécurité et Multimédia - UEB - Université européenne de Bretagne - European University of Brittany - Télécom Bretagne - IMT - Institut Mines-Télécom [Paris])

  • Peter Reichl

    (FTW - Telecommunications Research Center Vienna [Autriche])

  • Bruno Tuffin

    (DIONYSOS - Dependability Interoperability and perfOrmance aNalYsiS Of networkS - Inria Rennes – Bretagne Atlantique - Inria - Institut National de Recherche en Informatique et en Automatique - IRISA-D2 - RÉSEAUX, TÉLÉCOMMUNICATION ET SERVICES - IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires - UR - Université de Rennes - INSA Rennes - Institut National des Sciences Appliquées - Rennes - INSA - Institut National des Sciences Appliquées - UBS - Université de Bretagne Sud - ENS Rennes - École normale supérieure - Rennes - Inria - Institut National de Recherche en Informatique et en Automatique - Télécom Bretagne - CentraleSupélec - CNRS - Centre National de la Recherche Scientifique)

Abstract

Network users can choose among different security solutions to protect their data. Those solutions are offered by competing providers, with possibly different performance and price levels. In this paper, we model the interactions among users as a noncooperative game, with a negative externality coming from the fact that attackers target popular systems to maximize their expected gain. Using a nonatomic weighted congestion game model for user interactions, we prove the existence and uniqueness of a user equilibrium, compute the corresponding Price of Anarchy, that is the loss of efficiency due to user selfishness, and investigate some consequences for the (higher-level) pricing game played by security providers.

Suggested Citation

  • Patrick Maillé & Peter Reichl & Bruno Tuffin, 2011. "Interplay between security providers, consumers, and attackers: a weighted congestion game approach," Post-Print inria-00560807, HAL.
    • Handle: RePEc:hal:journl:inria-00560807
    DOI: 10.1007/978-3-642-25280-8_8
    Note: View the original document on HAL open archive server: https://inria.hal.science/inria-00560807v1
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    References listed on IDEAS

    as
    1. Ramesh Johari & Gabriel Y. Weintraub & Benjamin Van Roy, 2010. "Investment and Market Structure in Industries with Congestion," Operations Research, INFORMS, vol. 58(5), pages 1303-1317, October.
    2. Sandholm, William H., 2009. "Large population potential games," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1710-1725, July.
    3. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    4. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    5. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    8. Correa, José R. & Schulz, Andreas S. & Stier-Moses, Nicolás E., 2008. "A geometric approach to the price of anarchy in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 64(2), pages 457-469, November.
    9. Milchtaich, Igal, 2009. "Weighted congestion games with separable preferences," Games and Economic Behavior, Elsevier, vol. 67(2), pages 750-757, November.
    10. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    Full references (including those not matched with items on IDEAS)

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