I have recently come across a very practical example of a kind of "tragedy of the commons" - the unwillingness to invest in assets that benefit stakeholders indiscriminately. Specifically, on large strata-title apartment projects there is a reluctance to implement such measures as:
- central hot water heating (~ 10% lower all-up costs, ~20% lower operating costs)
- Solar hot water heating (>20% ROI)
- Solar electric power (~10% ROI)
UNLESS some kind of user-pays system is implemented, which would use up pretty much all of the gains.
The concern is of course that providing the above systems would create a "commons" that would tend to be exploited.
I am curious if there are any ideas on a usable solutions, perhaps some kind of workable protocol that would enable the above, or existing success stories - what made them work?
In the "proof" presented, the series 1-1+1... is "shown" to equal to 1/2 by a particular choice of interleaving of the values in the series. But with other methods of interleaving, the sum can be made to "equal" 0, 1 1/3 or indeed AFAICT any rational number between 0 and 1.
So... why is the particular interleaving that gives 1/2 as the answer "correct"?