Version 1 · concrete mechanismScarcity-upside exclusion
Ethical work gets funded rewards plus scarce upside. Unethical work is excluded from that upside. No tax or fine is applied.
G(t) < M(t) × [R(t) + L(t)]
Use when: ethics scores and scarcity facts are verified, rewards are funded, the excluded branch genuinely cannot access the scarce upside, and the agent exactly maximizes payoff.
Version 1.1 · generalized versionHyperdeflationary margin
Scarcity amplifies the ethical reward plus exclusive upside against the complete gain from cheating.
B(t) < M(t) × K(t)
Use when: compliance cost, optimizer error, or time-varying relative growth must be modeled. Every runtime value remains finite and K(t) stays positive.
Version 2 · finite protocolPolicy and settlement
A finite advantage makes every near-optimal choice policy-compliant, with publication and reserve checks.
Rc − Rn + enforcement > G + C + ε
Use when: a protocol needs observable actions, verified evidence, replay prevention, funded rewards, and reject-without-effect settlement.