The Jurisdictional Arbitrage Floor Theorem: How Sovereign Competition Creates an Irreducible Welfare Cost

Sovereign competition creates a floor on regulation that no country can unilaterally breach

When a mobile factor can choose among jurisdictions, it locates where regulation is weakest. The equilibrium is a regulatory floor: no jurisdiction goes below it due to domestic politics, but none can go above it without losing the factor.

• 73% of world commercial tonnage flies flags of convenience (Panama, Liberia, Marshall Islands)
• OECD average corporate tax rate fell from 32% (2000) to 23% (2023); Ireland's 12.5% became the de facto floor
• The floor imposes an irreducible welfare cost: W(r_floor) > 0

Three axioms jointly produce the floor: mobility, competition, and regulatory cost

Axiom 1: The factor can relocate at cost δ < c_r·(r_j - r_min). Axiom 2: At least two independent sovereigns compete. Axiom 3: Higher regulation raises industry cost (∂C/∂r = c_r > 0).

• Capital moves in milliseconds; ships reflag in 24 hours; data moves at zero marginal cost
• 193 sovereign states satisfy Axiom 2; only fully federated systems (e.g., EU single market) partially fail it
• When c_r is high (e.g., pollution control), the floor is low; when c_r is low (e.g., CFC substitutes), the floor approaches r*

No unilateral jurisdiction can sustain regulation above r_floor without losing the mobile factor

In the Nash equilibrium, each jurisdiction undercuts until r_floor, where the marginal benefit of attracting the factor equals the marginal domestic political cost of further deregulation. r_floor is strictly positive but strictly less than the welfare-optimal r*.

• r_floor > 0 because even the weakest jurisdiction has some domestic demand for regulation
• r_floor < r* because the welfare-optimal level would drive exit under competition
• The welfare gap (r* - r_floor) measures the cost of jurisdictional competition

The floor falls with mobility and competitor count; rises only through multilateral coordination

Proposition 6.1: dr_floor/dδ > 0 (higher relocation cost raises floor). Proposition 6.2: dr_floor/dk < 0 (more competitors lower floor). Proposition 6.3: A coalition of m jurisdictions can raise the floor only if m ≥ k*.

• Financial capital (δ≈0) has the lowest floor; heavy manufacturing (δ large) has a higher floor
• Flag states increased from ~20 (1960) to ~40 (2023); maritime standards declined proportionally
• OECD Pillar Two works because 140 jurisdictions signed, exceeding k* for corporate tax arbitrage

The floor is easy to lower unilaterally but hard to raise without collective action

A single jurisdiction can lower the floor by undercutting; raising it requires all jurisdictions to act simultaneously, because any holdout becomes the new floor. This ratchet structure creates a structural tendency toward declining regulation.

• The General Ratchet Impossibility Theorem (Postnieks 2026f) formalizes this asymmetry
• Unilateral defection suffices to lower the floor; multilateral coordination exceeding k* is needed to raise it
• This explains why floors decline over time but rarely rise without multilateral agreement

Jurisdictions develop comparative advantage in hosting harmful industries, not producing goods

Panama's comparative advantage in shipping is regulatory permissiveness, not shipbuilding. The Cayman Islands' advantage is financial opacity, not innovation. This inverts Ricardo: welfare-destroying specialization replaces welfare-improving trade.

• Panama: 8,000+ registered vessels, 300 inspectors — enforcement physically impossible
• Cayman Islands: 400,000 registered companies, population 30,000
• The same factor mobility that enables trade also enables arbitrage

Jurisdictional arbitrage operates through tax, regulatory, labor, environmental, data, financial, and criminal channels

Each channel corresponds to a different mobile factor. The floor is lowest for the most mobile factors (data, capital) and highest for less mobile ones (production, waste).

• Tax arbitrage: $100-240B/yr lost corporate tax revenue (OECD estimate)
• Data arbitrage: δ≈0, lowest floor in SAPM catalog; GDPR's extraterritorial scope is a demand-side fix
• Criminal arbitrage: floor set by enforcement capacity, not statutory standards — Russia, North Korea, Iran for cybercrime

Twelve domain instantiations confirm the floor across tax, shipping, child labor, e-waste, and more

The theorem applies to 20+ of 58 SAPM domains. Each case shows the same pattern: mobile factor exits to weakest jurisdiction, setting a floor below welfare optimum.

• Shipping: 73% of tonnage under flags of convenience; Port State Control (Tokyo MOU, Paris MOU) raises floor from demand side
• Child labor: 160M children in labor; concentration in sub-Saharan Africa (86.6M) and South Asia (26.3M)
• E-waste: 50M metric tons/year, only 20% properly recycled; Basel Convention circumvented via 'used electronics' labeling

k* is the minimum coalition size needed to raise the floor; it depends on mobility and market use

OECD Pillar Two (140 jurisdictions) exceeds k* for tax arbitrage. Basel Convention (187 parties) partially works, but US non-ratification creates a gap. Paris Agreement (194 parties) has voluntary targets, so floor rises only on paper.

• k* decreases with lower factor mobility and higher coalition market access use
• Pillar Two raises r_floor from 0% to 15%, but QDMTT and substance-based exclusions create a higher but still imperfect floor
• Demand-side floor-raising (port state control, supply chain due diligence) can work when the factor must interact with high-standard jurisdictions

The floor produces an irreducible annual welfare destruction across all mobile-factor domains

The aggregate welfare cost ΔW_floor = Σ w(r_floor) across jurisdictions hosting the mobile factor. The reform dividend from raising the floor to r* is $73.8T/yr program-wide; JAFT domains contribute the largest share.

• β_W = ΔW ÷ Π = 1.95 (reform dividend 1.95x gross revenue)
• Tax havens alone: 100-240B/yr lost revenue; flag state: 2.3B West African EEZ/yr; data brokerage: $1,980B ΔW
• Only multilateral coordination can eliminate this welfare destruction

Multilateral coordination, club access, and border adjustment can alter the competition architecture

The theorem is an intractability result (institutional), fixable by changing the game from G (sovereign competition) to G' (binding minimum standards). MST Anchor: Hollow Win (0,1,1) — firms and host jurisdictions gain; communities, workers, ecosystems bear costs.

• OECD Pillar Two, Basel III, ILO Maritime Labour Convention, EU GDPR are partial attempts at G→G'
• Conflictoring reveals six-agent decomposition: multinational, host jurisdiction, source jurisdiction, global regulator, affected community, future generation
• Game-Change Theorem 1: alter jurisdictional competition through multilateral floors, club access, border adjustment, or mutual-recognition constraints

Unilateral regulation fails for mobile factors; only coordinated action can raise the floor

The standard policy prescription — identify harm, write rules, enforce within borders — assumes immobility. When factors can reflag, redomicile, reroute, or relocate, that prescription fails. The JAFT proves that the floor is irreducible without multilateral coordination.

• The U.S. Clean Air Act succeeded because air is immobile; maritime regulation fails because ships are mobile
• The floor is not a prediction — it is a structural feature of the competition architecture
• Policy implication: invest in raising relocation costs (long-term contracts, infrastructure) and pursue multilateral agreements that exceed k*