If you ignore the temporal aspect, I wonder if there is any connection to the http://en.wikipedia.org/wiki/Stag_hunt
No, this problem is completely different from the stag hunt. This is because any individual tenshiko would prefer to spend her time doing something else and will only regret her decision if she can't convince any of the later tenshikos to make up for her. A stag hunt would be deciding to participate in a high-reward extracurricular activity, like the drama club - if one tenshiko defects, there's a significant cost, but if everyone defected then at least there'd be a uniform gain among all selves of more free time.
This has been bothering me ever since I started trying to use rationalist techniques to make better decisions (like anti-akrasia ones). The only field related to rationality I knew much about was game theory, but to my disappointment basic game theory has only increased my problems due to a certain formulation I can't abandon.
The Volunteer's Dilemma (http://en.wikipedia.org/wiki/Volunteer's_dilemma) is in essence the Prisoner's Dilemma with more players - which means that defection is an even more dominant strategy. The problem is that the decision whether to do unpleasant tasks becomes a Volunteer's Dilemma with multiple future selves as my competition - 4:00 tenshiko, 4:15 tenshiko, 4:30 tenshiko, and so on. Although the incentive to defect should decrease as time goes on, there's the problem of how 9:00 tenshiko can easily defect in an even more effective fashion and bring in 11:00 tenshiko and 11:15 tenshiko to further level the playing field. There is the further problem that, given how many of my current hobbies convert time to reward in an approximately cubic function, the incentive is high for 6:00 tenshiko, 7:00 tenshiko, and 8:00 tenshiko to form coalitions.
I guess what I'm really asking for is a more advanced matrix that represents the diminishing returns of bringing in other future selves, such as went-to-bed-at-1:00 tenshiko and completely-bombed-that-test-at-10:00 tenshiko, or at least the diminishing probability over time that "it doesn't matter, 9:45 tenshiko can take care of it".
If this goes well, I will probably try to flesh out the material received in responses with what I already know and produce a post in main discussing time management and its relation to game theory.