Bitcoin's ledger is a state machine also
Whereas the state of your system is numerous agents and states. It is not yet clear to me this model can be modeled with some simplifying assumptions. Perhaps you can work with your academic researchers to see if they can.
Yet my design maintains the simple state machine of proof-of-work, while removing virtually all the bandwidth scaling restrictions. You say you can't do 100,000 transactions per second microtransactions. I can easily.
Translation:
Derp derp derp, this Fuserleer guy might be smart, but not as smart as me... derp derp derp, emunie sounds interesting, but my vaporware will solve all the problems with cryptos that those before me weren't smart enough to figure out... derp derp derp, don't pay attention to this Fuserleer guy and the almost ready to launch emunie,
pay attention to me and my theoretical cryptocurrency which, while I can't reveal any details, will definitely be much better and faster than emunie in every regard... derp, derp, derp...