Re: Some dilemma regarding investments and social welfare in an all bitcoin economy
Sorry, you seem to be misinterpreting a lot of these. Firstly it doesn't matter how you label 2 consecutive periods. It can be period 1 and period 2, today and tomorrow, period 0 and period 1, period t and period T, 2011 and 2012, etc. Its just a reference to 2 time periods.
It does matter when you label them the exact same thing. If t=0 and t=T, they're all zero. t=0 means t is zero. It doesn't mean anything else. t=T means T is the same thing as t, which is also zero.For the first part:
y comes from investing x in the prior period. We both agree that the nominal value of what we have now decreases, thus the x that we had in period 1, in nominal terms would be worth more than y period 2, hence x > y. Suppose instead of using x to buy 1 good in period 1, we invest that and get y in the next period and y = 2 goods, then instead of investing x in period 1 we save it and bring it forward to period 2, because x > y (we both agree on this, the nominal value we get from investing anything is a lower nominal value next period, why? because of the limited supply of money) and y = 2 , then it follows that x > y = 2, i.e. we would be better off not investing.
y comes from investing x in the prior period. We both agree that the nominal value of what we have now decreases, thus the x that we had in period 1, in nominal terms would be worth more than y period 2, hence x > y. Suppose instead of using x to buy 1 good in period 1, we invest that and get y in the next period and y = 2 goods, then instead of investing x in period 1 we save it and bring it forward to period 2, because x > y (we both agree on this, the nominal value we get from investing anything is a lower nominal value next period, why? because of the limited supply of money) and y = 2 , then it follows that x > y = 2, i.e. we would be better off not investing.
But you can't use x to refer both to "what you invest" and "what you would have if you didn't invest", if x increases in value if you invest and does not increase in value if you don't. They're two different quantities.Secondly,
No one said I'm investing 10 and "instantly" getting 8. I don't really get where you come across me saying non-zero period of time. Using 2 time periods again, period 1 and period 2. Both time periods can have a start and end (i.e. Jan 2011 and Dec 2011, Jan 2012 and Dec 2012, 2 time periods). At the start of period 1, we have the choice of investing 10 or saving 10. If we choose to invest, the return we get is at the beginning of period 2, the return of which is 8 (once again, we both agree the nominal value of what we are holding drops if we invest). If we choose to invest, we get 8 in period 2 which we can use to buy 8 goods. BUT what if we decided to just put the 10 into our pocket at the beginning of period 1 instead of investing it? THEN at the beginning of period 2, we most certainly still have 10 of which in period 2 can buy us 8 goods + more. This proves we are better off putting the 10 in our pocket instead of investing.
Not if the real value of the currency increases. In that case, the 8 you get by investing can be used to buy 16 goods (because the currency increased in value as a result of the investment), as opposed to the 10 you get by not investing which can only buy 10 goods (because, by not investing, the currency did not increase in value). 16 goods are better than 10, last time I checked.No one said I'm investing 10 and "instantly" getting 8. I don't really get where you come across me saying non-zero period of time. Using 2 time periods again, period 1 and period 2. Both time periods can have a start and end (i.e. Jan 2011 and Dec 2011, Jan 2012 and Dec 2012, 2 time periods). At the start of period 1, we have the choice of investing 10 or saving 10. If we choose to invest, the return we get is at the beginning of period 2, the return of which is 8 (once again, we both agree the nominal value of what we are holding drops if we invest). If we choose to invest, we get 8 in period 2 which we can use to buy 8 goods. BUT what if we decided to just put the 10 into our pocket at the beginning of period 1 instead of investing it? THEN at the beginning of period 2, we most certainly still have 10 of which in period 2 can buy us 8 goods + more. This proves we are better off putting the 10 in our pocket instead of investing.