Computation of Nash Equilibria of Attack and Defense Games on Networks

09/08/2023

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by   Stanisław Kaźmierowski, et al.

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We consider the computation of a Nash equilibrium in attack and defense games on networks (Bloch et al. [1]). We prove that a Nash Equilibrium of the game can be computed in polynomial time with respect to the number of nodes in the network. We propose an algorithm that runs in O(n4) time with respect to the number of nodes of the network, n.