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The detection race: concentrated vs diffuse failures

A schemer needs C bad actions for catastrophe; each has chance q of being noticed and a response fires at the K-th notice. Drag the three levers to see who wins the race, the expected damage bill, and the three regimes from the post.

The detection race: concentrated vs diffuse failures

A schemer needs C bad actions for catastrophe; each has chance q of being noticed and a response fires at the K-th notice. Drag the three levers to see who wins the race, the expected damage bill, and the three regimes from the post.

P(response before catastrophe), by C

100%0%1.0100k

100%

Expected bad actions before response, by q

30k0.00.01%5e+1%

300

Response in time

99.7%

Expected damage at response

300 actions

Regime

Caught in time

The response reliably fires before the catastrophe threshold: the diffuse regime, where asynchronous review and training have time to work.The schemer's pace has no slider: acting more slowly delays detection and catastrophe by the same factor, so the race outcome depends only on C, q, and K. Expected damage before the response is K/q, independent of the threat's concentration.

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