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Decentralized Defence of a (Directed) Network Structure

Marco Pelliccia

Defence and Peace Economics, 2020, vol. 31, issue 6, 659-676

Abstract: We model the decentralized defence choice of agents connected in a directed graph and exposed to an external threat. The network allows players to receive goods from one or more producers through directed paths. Each agent is endowed with a finite and divisible defence resource that can be allocated to their own security or to that of their peers. The external threat is represented by either a random attack on one of the nodes or by an intelligent attacker who aims to maximize the flow-disruption by seeking to destroy one node. We show that under certain conditions a decentralized defence allocation is efficient when we assume the attacker to be strategic: a centralized allocation of defence resources which minimizes the flow-disruption coincides with a decentralized equilibrium allocation. On the other hand, when we assume a random attack, the decentralized allocation is likely to diverge from the central planner’s allocation.

Date: 2020
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Working Paper: Decentralised Defence of a (Directed) Network Structure (2015) Downloads
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DOI: 10.1080/10242694.2019.1587679

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