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Attack and interception in networks

Author

Listed:
  • Francis Bloch

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Kalyan Chatterjee

    (Penn State - Pennsylvania State University - Penn State System)

  • Bhaskar Dutta

    (University of Warwick [Coventry], Ashoka University)

Abstract

This paper studies a game of attack and interception in a network, where a single attacker chooses a target and a path, and each node chooses a level of protection. We show that the Nash equilibrium of the game exists and is unique. We characterize equilibrium attack paths and attack distributions as a function of the underlying network and target values. We show that adding a link or increasing the value of a target may harm the attacker - a comparative statics effect which is reminiscent of Braess's paradox in transportation economics. Finally, we contrast the Nash equilibrium with the equilibrium of a variant of the model: one where all nodes cooperate in interception.

Suggested Citation

  • Francis Bloch & Kalyan Chatterjee & Bhaskar Dutta, 2023. "Attack and interception in networks," PSE-Ecole d'économie de Paris (Postprint) halshs-03954188, HAL.
    • Handle: RePEc:hal:pseptp:halshs-03954188
    DOI: 10.3982/TE5122
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