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Inflation happens naturally as your game grows... more players enter, more currency is added to the mix, the currency devalues, and any player-player trades end up costing more.
Now how that ties in to the NPC population, I'm not sure. If you're changing their prices more slowly than the natural inflation, then're just slowed down the natural process seen in other games to a degree, but don't change much qualititvely. If you raise the prices more quickly than the natural inflation then players will become poor and may have problems acquiring what they want.
You also get the issue that in real life, inflation tends to affect people at the same rate, as there are certain ongoing costs everyone pays, and people can invest their cash as they go along to avoid the loss of value. In a MUD however, someone might log off for a few months, and come back to find their money is worth a lot less, which could be frustrating.
So my personal opinion is that simply changing the prices isn't going to achieve much. I believe it's an element of realism that won't add much immersion but may cause a bit of hassle. But if you do decide to implement it, look out for the effects on players - base it around measurable stats such as average player wealth, incoming player wealth, and total player wealth. That way you can at least hope that game balance isn't too affected.
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