In a cryptocurrency, we can potentially design methods of money movement and rebalancing of value that are neither "inflation" nor "deflation."
A currency sketch that I've been working on - but have put aside partially finished for the moment - involves using the history of each coin to enforce a restriction on who can have it next. The underlying goal is for the entire money supply to eventually visit all or nearly all (a high ratio, over 50%) the accounts before it can start revisiting previous accounts. I am pleased with the concept because it presents the idea of money velocity and its incentives in a specific, targeted way that makes money "homing" or "heat-seeking" - serendipitously, you can expect money to come to you somehow as the other options for it close off. This money also presents the basic rationales for economic activity that are in capitalism - spend within your means, provide goods and services, invest in real assets, etc. - the key difference being that it naturally leaks out of capital pools and into the hands of the masses.
In the full writing, I also discuss some attacks and ways to stop them, and incentives for speculators to enter such a currency. It does not attempt to solve environmental sustainability, governance, or other issues, just the idea of "income equality."