Ok, here is the spreadsheet, with your example data:
“Mangos Playground - Google Sheets”
The Subject is your account which has been created for you as person and which is being certified by the weboftrust algorithm. So, there is no need to bring in this (by the way a great) statement, because it doesn’t matter, or are you getting for each t a new account?
If you are not taking your account as a subject, but always the newborn person the symmetry will hold true, because with each timestep you start a fresh. But as far as I can see, this is not the case. Thus, when taking the account as a subject, the real interesting value is highlighted in dark green. This is your sum of transfers after a lifetime of trading with your respective account. No matter when you enter or how long you stay, your total sum of transfers will immensely depend on your trading activity and not on the average of 80 years life expectancy or am I wrong?
I can not see any symmetry there anymore, maybe you see and can explain to me?