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Vladimir_Nesov comments on Unpacking the Concept of "Blackmail" - Less Wrong
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I know this isn't quite rigorous, but if I can calculate the counterfactual "what would the other player's strategy be if ze did not model me as an agent capable of responding to incentives," blackmail seems easy to identify by comparison to this.
Perhaps this can be what we mean by 'default'?
I think this ties into Larks' point -- if Larks didn't think I responded to incentives, I think ze'd just help the child, so asking me $1,000 would be blackmail. Clippy would not help the child, and so asking me $1,000 is trade.
To first order, this means that folks playing decision-theoretic games against me actually have an incentive to self-modify to be all-else-equal sadistic, so that their threats can look like offers. But then I can assume that they would not have so modified in the first place if they hadn't modelled me as responding to incentives, etc. etc.
Which option for you is "not responding", the "default"? Maybe you give away $1000 by default, and since that leads to children not drowning, the better-valued outcome, it looks more like "least effort". How do you measure effort?