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Research PaperResearchia:202604.11029

Collective deterrence as a classification problem: Voting rules, deterrence credibility, and escalation risk

Torgeir Aambø

Abstract

Deterrence coalitions that collectively own their deterrence technology, need an institutional design to decide when to retaliate against an attack or incident. This choice of institutional design, formalized through a social choice function, introduces a tradeoff between credible deterrence and escalation risk. We study this tradeoff via a simple signalling model, and use it to construct an associated binary classification problem to determine institutional designs that perform well in a variet...

Submitted: April 11, 2026Subjects: Mathematics; Mathematics

Description / Details

Deterrence coalitions that collectively own their deterrence technology, need an institutional design to decide when to retaliate against an attack or incident. This choice of institutional design, formalized through a social choice function, introduces a tradeoff between credible deterrence and escalation risk. We study this tradeoff via a simple signalling model, and use it to construct an associated binary classification problem to determine institutional designs that perform well in a variety of environments. For a small coalition of four members, we compute and study the statistics of the empirical ROC curves associated to a variety of choice functions and probability distributions for retaliation and false positives.


Source: arXiv:2604.08482v1 - http://arxiv.org/abs/2604.08482v1 PDF: https://arxiv.org/pdf/2604.08482v1 Original Link: http://arxiv.org/abs/2604.08482v1

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Date:
Apr 11, 2026
Topic:
Mathematics
Area:
Mathematics
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