Optimal Design and Defense of Networks Under Link Attacks

31 Pages Posted: 17 Jul 2015 Last revised: 7 Dec 2016

See all articles by Christophe Bravard

Christophe Bravard

Jean Monnet University, Saint-Etienne - CREUSET

Liza Charroin


Corinne Touati

affiliation not provided to SSRN

Date Written: December 7, 2016


Networks facilitate the exchange of goods and information and create benefits. We consider a network composed of complementary nodes, i.e., nodes that need to be connected to generate a positive payoff. This network may face intelligent attacks on links. To study how the network should be designed, we develop a strategic model, inspired by Dziubiński and Goyal (2013), with two players: a Designer and an Adversary. The Designer has two potential ways to defend her network: forming destructible links among the given set of nodes to increase connectivity or protecting a group of nodes (with indestructible links). Links formation and protections (indestructible links) are costly. The Adversary then allocates her resources to attack links. We examine two situations which differ according to the number of protections available to the Designer. Our main findings are that if the number of protections is not limited, the Designer should either protect all the nodes, or create a large number of Retour ligne automatique (destructible) links to absorb the Adversary’s attack; if the available number of protections is limited, then a strategy that uses protections and links can be the equilibrium.

Keywords: Networks, Network defense, Network design, Attacks on links

JEL Classification: D74, D85

Suggested Citation

Bravard, Christophe and Charroin, Liza and Touati, Corinne, Optimal Design and Defense of Networks Under Link Attacks (December 7, 2016). Available at SSRN: https://ssrn.com/abstract=2631443 or http://dx.doi.org/10.2139/ssrn.2631443

Christophe Bravard (Contact Author)

Jean Monnet University, Saint-Etienne - CREUSET ( email )

34, rue Francis Baulier
Saint-Etienne, 42023

Liza Charroin

GATE LSE ( email )


Corinne Touati

affiliation not provided to SSRN

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