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The Torturer's Dilemma: Analyzing the Logic of Torture for Information

The Torturer's Dilemma: Analyzing the Logic of Torture for Information

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where <strong>the</strong> costs <strong>of</strong> investigation are high, such as when <strong>the</strong> in<strong>for</strong>mation sought is highly time-sensitive,<br />

as in <strong>the</strong> 'ticking bomb' scenario. Finally, <strong>the</strong> state must believe that <strong>the</strong> captive is a priori likely<br />

enough to be knowledgeable that it is willing to imprison given a signal <strong>of</strong> 'truth' – if <strong>the</strong> captive is<br />

certain to be ignorant, and <strong>the</strong> state's investigative signal is at all noisy, <strong>the</strong>n <strong>the</strong> state is best <strong>of</strong>f<br />

torturing no matter what signal it receives.<br />

If all <strong>of</strong> <strong>the</strong>se conditions are met, <strong>the</strong>n <strong>the</strong> knowledgeable captive will find himself in a situation<br />

where he is best <strong>of</strong>f telling <strong>the</strong> truth in order to escape torture – but only if <strong>the</strong> state's expected strategy<br />

is to play according to <strong>the</strong> signal it receives, torturing when it receives <strong>the</strong> signal that <strong>the</strong> captive has<br />

lied, and imprisoning when it appears that <strong>the</strong> captive has told <strong>the</strong> truth. If <strong>the</strong> state plays any o<strong>the</strong>r<br />

strategy, ei<strong>the</strong>r imprisoning or torturing without investigating, or regardless <strong>of</strong> <strong>the</strong> signal it receives,<br />

<strong>the</strong>n <strong>the</strong> necessary link between lying and torture is broken, and <strong>the</strong> captive is once again best <strong>of</strong>f lying<br />

under all circumstances. How likely <strong>the</strong>n is <strong>the</strong> state to play this strategy? Paradoxically, just as <strong>the</strong><br />

state must not be too convinced that <strong>the</strong> captive is ignorant, nei<strong>the</strong>r can <strong>the</strong> state be too convinced that<br />

<strong>the</strong> captive is knowledgeable. If <strong>the</strong> state believes <strong>the</strong> captive to be knowledgeable with certainty, and<br />

<strong>the</strong> o<strong>the</strong>r conditions noted above hold, <strong>the</strong>n <strong>the</strong> state cannot credibly commit to acting according to <strong>the</strong><br />

signal it receives: if <strong>the</strong> captive is knowledgeable, and is threatened with sufficient pain with a high<br />

enough likelihood <strong>of</strong> being caught in a lie, <strong>the</strong>n he will certainly tell <strong>the</strong> truth – meaning <strong>the</strong> state is<br />

best <strong>of</strong>f believing <strong>the</strong> captive even when he appears to have lied! To do o<strong>the</strong>rwise would be to ignore<br />

truthful in<strong>for</strong>mation – a dead loss to <strong>the</strong> state. But if <strong>the</strong> state cannot credibly commit to playing<br />

according to <strong>the</strong> signal, <strong>the</strong>n <strong>the</strong> knowledgeable captive no longer has any incentive to tell <strong>the</strong> truth<br />

since <strong>the</strong> state will believe his lies regardless – <strong>the</strong> separating equilibrium collapses. Even worse,<br />

because investigating is costly, <strong>the</strong> state may even lack <strong>the</strong> incentive to investigate in <strong>the</strong> first place,<br />

meaning that <strong>the</strong> state may never have reason to doubt that <strong>the</strong> captive has told <strong>the</strong> truth. In this case,<br />

<strong>the</strong> logic <strong>of</strong> torture would be stood on its head: ra<strong>the</strong>r than being a mechanism <strong>for</strong> extracting true<br />

in<strong>for</strong>mation <strong>for</strong> <strong>the</strong> state, it would become a means <strong>for</strong> <strong>the</strong> captive to inject misin<strong>for</strong>mation against <strong>the</strong><br />

state.<br />

In o<strong>the</strong>r words, successful torture depends on <strong>the</strong> state knowingly torturing ignorant captives,<br />

and on not being certain which captives are which. If <strong>the</strong> probability that <strong>the</strong> captive is ignorant rises<br />

too high, <strong>the</strong>n <strong>the</strong> state is best <strong>of</strong>f torturing regardless and cannot gain from torture – <strong>the</strong> rare<br />

knowledgeable captive will be tortured however he behaves: if <strong>the</strong> probability sinks too low, <strong>the</strong>n <strong>the</strong><br />

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