I'm not sure I'm parsing the question correctly. Attempting to set X = five dollars, I get "If you offered me five dollars right now, I'd accept the offer, but if you first offered me to precommit against taking five dollars, I'd accept that offer and escape the other one." Precommitting against taking five dollars seems strange.
My best interpretation is "If you offered me X right now, I'd accept the offer, but if you first offered me Y to precommit against taking X, I'd accept that offer and later wouldn't take X." If that interpretation is close enough, then yes. If you offered me the opportunity to play Skyrim all day right now, I'd accept the offer, but if you first offered me a hundred dollars to precommit against playing Skyrim all day, I'd accept that offer and later wouldn't take the opportunity to play Skyrim all day. That seems too straightforward though, so I don't think I'm interpreting the question right.
If it's worth saying, but not worth its own post, then it goes here.
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