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JGWeissman comments on Strategic ignorance and plausible deniability - Less Wrong
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But if they don't spend their budget, their funding will be cut.
Clearly the scientists must precommit to burning all the money they don't use.
Burning money just transfers the value of that money to holders of other money through deflation. So your generousity is still assigning some amount of value to your co-experimentee that otherwise would distributed throughout the economy.
But if the reward was something of intrinsic value, precommitting to destroying unused rewards could work.