Miners would get paid differently, because there would be no more block rewards. They'd get paid only by fees. Fees may increase as a result, but in theory the value of Bitcoin should increase as well so the % of a transaction devoted to a fee may not have as much change.
If supply is stagnant there will be a greater effect on value given the same amount of demand. This is when the value of bitcoin could really take off. Unfortunately all bitcoin won't be mined until the year 2140. BUT, given the process of halving block rewards (and therefore the creation of Bitcoin) we'll have mined nearly all of bitcoin well before (like many many decades before) the last satoshi is unlocked.
Well if that's the case. the concept of bitcoin of being decentralize and low transfer fee will be gone...
i think a new coin will rise and replace bitcoin 50 years before it happens..