THE FORMAL CRITERION

The Minimal Tolerance
Theorem

QuestionsTheoryTheoremCases

The State is an institutional technology of last resort

INSTITUTIONAL LAST RESORT

Defining the exception

Political authority has no automatic claim to moral legitimacy or institutional superiority. Neither collective benefit nor market failure is enough to tolerate coercion. Those proposing it must show that the function meets the theorem’s conditions

THE MINIMAL TOLERANCE THEOREM

Formal statement

A function satisfies the Minimal Tolerance Criterion only when effective non-excludability, relevant non-rivalry, and persistent collapse of voluntary provision are jointly established

THE CRITERION

Two economic conditions
One institutional test

NE

Effective non-excludability

Non-contributors cannot be effectively excluded from the benefit

NR

Relevant non-rivalry

One person’s use does not meaningfully reduce what remains available to others

CV

Persistent collapse of voluntary provision

Free-rider incentives persistently undermine the financing, coordination, or participation needed to sustain voluntary provision

COROLLARY

The burden remains with coercion

Importance, collective benefit, underprovision, and free riders do not establish coercive necessity. If any condition fails, the public-goods argument for coercion fails

LIMITS OF THE CRITERION

Application and continued justification

The theorem sets a standard; it cannot guarantee impartial application. Institutions and officials remain subject to error, incentives, and self-interest

Meeting the criterion once does not make tolerance permanent. Those exercising power must keep demonstrating that the conditions still hold

CASES

Testing the boundary

The theorem distinguishes persistent failure caused by free-rider incentives from political convenience, paternalism, and dissatisfaction with voluntary outcomes