Miners would be paid based on transactions most likely, and they'd probably be reduced by quite a bit depending on how much the influence of Bitcoin has in society. After that, well, the market would gradually (if not already) start being steady, reducing the issue of volatility that most people have right now. Nothing goes up forever after all. Though I hardly doubt it'd actually take that long for it to stabilize tbh, since by the next few halvings, the amount mined would be quite small to even influence the supply market in the short run. Long term, it'd probably take till the last coin was mined if it was actually to create a ripple.