It's been forever since I read it, but Fortune's Formula [1] is an entertaining read that goes into Shannon's investment methodology, alongside Edward Thorp [2].
The re-balancing system (of which dollar averaging is a variant) is described in the Fortune's Formula book [1] as something that Claude Shannon [2] would demonstrate in his lectures at MIT as a mathematically proven guaranteed winning strategy. At the end of the talk there was a Q and A, and the first question always was "do you yourself use this system", to which he replied "Naw, the commissions alone would kill you".
[1]: https://www.amazon.com/Fortunes-Formula-Scientific-Betting-C... [2]: https://en.wikipedia.org/wiki/Edward_O._Thorp
[1] https://www.amazon.com/Fortunes-Formula-Scientific-Betting-C...
[2] https://en.wikipedia.org/wiki/Claude_Shannon