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Say that we have three agents, each of whom is facing the same problem: the choice of when to take an action that can only

Say that we have three agents, each of whom is facing the same problem: the choice of when to take an action that can only be taken once. Agent 1 has time consistent preferences. Agent 2 has a present bias, and is not aware that her preferences are time inconsistent. Agent 3 has a present bias, but is aware that his preferences are time inconsistent. Let ti denote when agent i chooses to take his/her action. Because Agent 3 is aware of his present bias, and Agent 2 is not, it follows that there is less time between t3 and t1 than there is between t2 and t1.

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