APPLICATIONS
Each function must pass the test independently
THE METHOD
The first two define the economic structure; the third tests its institutional consequence. Passing all three is a function-level result, not an authorization of any particular coercive arrangement
THE STRONGEST CANDIDATES
STRONG CANDIDATE
Territorial defense and some forms of collective security can satisfy non-excludability and non-rivalry. They pass the test only if free-rider incentives persistently undermine the financing, coordination, or participation needed to sustain the collective function
POSSIBLE CANDIDATE
The relevant function may be the continued operation of a financial infrastructure rather than the survival of any particular institution. Whether it passes the test depends on the structure of the system and the available voluntary alternatives
POSSIBLE CANDIDATE
Some environmental benefits extend across borders and generations and may satisfy non-excludability and non-rivalry. The remaining question is whether free-rider incentives persistently undermine the protective function
OUTSIDE THE EXCEPTION
FAILS
These goods may be essential and socially valuable, but their importance does not remove rivalry or make exclusion ineffective. They therefore fail before persistent voluntary collapse becomes relevant
FAILS
Restrictions on wages, contracts, benefits, and working conditions may pursue distributive or paternalistic goals, but those grounds do not establish the three conditions required by the theorem
FAILS
Political influence, unequal bargaining power, concentration, and undesirable conduct may raise serious concerns. They do not by themselves establish effective non-excludability, relevant non-rivalry, and persistent collapse of voluntary provision
BORDERLINE CASES
CONTEXT DEPENDENT
Toll roads and private streets can permit effective exclusion, while some open networks may not. Congestion, technology, ownership, scale, and alternative financing arrangements can change the result
CONTEXT DEPENDENT
Knowledge can be difficult to exclude and can often be used without diminishing what remains for others. The remaining question is whether free-rider incentives prevent voluntary institutions from sustaining the relevant research function over time
CONTEXT DEPENDENT
Semiconductors, currencies, and financial services are ordinarily excludable and rival at the product level. The analysis may change when the function under review is a broader form of systemic resilience, which must then satisfy all three conditions independently
THE RESULT
The theorem does not accept or reject the State as a whole. Each function is evaluated independently, and passing one creates no presumption in favor of another
Any tolerance remains contingent on the conditions that supported it. Changes in technology, institutions, or voluntary provision can therefore require the exception to be examined again
THE BOOK
The book applies the theorem to defense, emergencies, basic needs, roads, monetary systems, financial crises, scientific research, environmental threats, labor regulation, and agreements commonly considered unacceptable