The Entry Trilemma
Costly Registration as Sybil-Resistance in Graded-Reward Networks
A network that pays for performance cannot offer free entry, resistance to identity duplication, and a graded reward curve all at once. One of the three has to give.
- An impossibility theorem: the three properties are mutually exclusive, so a registration fee is not a tax but the price of keeping the other two.
- The fee is the Pigouvian toll that internalizes the cloning externality; lowering it benefits no honest participant, only an attacker copying the leading strategy across many seats.
- Evidence from all 128 live subnets, with the price history and observed strategy convergence of the most-demanded one.