Greening Transport:
Carbon Pricing Sufficient?

A Theoretical Analysis of Strategic Underinvestment
Achim I. Czerny, Yulai (Sarah) Wan, Yixiao Wang
The Hong Kong Polytechnic University
Department of Logistics and Maritime Studies
May 6, 2026

The Challenge

5–6%
of global GHG emissions from air & maritime transport
25–30%
of airline operating costs from jet fuel
~60%
of shipping operating costs from bunker fuel
Core Question: Are carbon taxes alone sufficient to incentivize green technology adoption in transport oligopolies?

Utilization-Neutral Greening

Two types of greening investments:

Utilization-Neutral Sequential

  • Winglets & aerodynamic upgrades
  • Advanced hull coatings
  • Engine/fleet modernization
  • Weight reduction programs

Key: Cost independent of fleet utilization. Investment precedes pricing.

Not Utilization-Neutral Simultaneous

  • Drop-in biofuels (SAF)
  • Carbon offset purchases
  • Operational fuel switching

Key: Green fuel scales with output. Decisions adjusted ad hoc.

Model Setup

Two-stage game with \(n\) differentiated firms (Bertrand competition):

1
Investment Stage
Firms choose \(g_i\)
2
Pricing Stage
Firms choose \(p_i\)

Profit function for firm \(i\):

$$\pi_i(p) = \left[p_i - \left(c_i + T_i(g_i)\right)\right] \cdot D_i(p) - C_i(g_i)$$
  • \(T_i(g_i)\): Tax payment per passenger, decreasing & convex in \(g_i\)
  • \(C_i(g_i)\): Investment cost, increasing & convex in \(g_i\)
  • \(c_i\): Unit operating cost

Main Result: Strategic Underinvestment

Proposition 1

Under a Pigouvian carbon tax in a differentiated Bertrand oligopoly with utilization-neutral investments, firms strategically underinvest in green technology relative to the welfare optimum.

Intuition:

  • Green investments reduce effective marginal cost \(c_i + T_i(g_i)\)
  • Lower marginal cost \(\rightarrow\) more aggressive pricing in Stage 2
  • Firms withhold green investment to soften price competition
  • This is the "puppy-dog ploy" (Fudenberg & Tirole, 1984)
Policy implication: Carbon taxes alone are too weak to generate welfare-efficient greening.

Duopoly with Cost Asymmetry

Capturing realistic market structures (e.g., full-service vs. low-cost carriers)

Benefit function:

$$B(q_1, q_2) = q_1 + q_2 - \frac{1}{2}\left(q_1^2 + q_2^2 + q_1 q_2\right)$$

Demand system:

$$D_i(p_1, p_2) = \frac{2}{3}\left(1 - 2p_i + p_j\right), \quad j \neq i$$

Duopoly: Tax, Cost & Scenarios

Tax & Cost Structure:

  • \(T_i(g_i) = t - g_i\)
  • \(C_i(g_i) = g_i^2/2\)
  • \(c_1 = 0\) (low-cost firm)
  • \(c_2 = c\) (high-cost firm)

Two Scenarios:

  • Sequential (N): Investment \(\rightarrow\) Pricing
  • Simultaneous (S): No strategic manipulation
Interpretation: The high-cost firm can alternatively be viewed as having equal costs but lower demand.

Sequential Equilibrium: Investments

Equilibrium investments:

$$g_1^N = \frac{56(30c + 19(1-t))}{1501}$$ $$g_2^N = \frac{56(-49c + 19(1-t))}{1501}$$

Investment gap:

$$g_1^N - g_2^N = \frac{56c}{19}$$
Key insight: The low-cost firm invests more in green technology, but still underinvests relative to the welfare optimum due to strategic incentives.

Sequential Equilibrium: Prices

Equilibrium prices:

$$p_1^N = \frac{-209 - 330c + 1710t}{1501}, \quad p_2^N = \frac{-209 + 2040c + 1710t}{1501}$$

Price gap:

$$p_1^N - p_2^N = -\frac{30c}{19}$$
High-cost firm charges more: higher unit cost \(\rightarrow\) higher prices (intuitive).

Sequential Equilibrium: Quantities

Equilibrium quantities:

$$q_1^N = \frac{60(30c + 19(1-t))}{1501}, \quad q_2^N = \frac{60(-49c + 19(1-t))}{1501}$$

Quantity gap:

$$q_1^N - q_2^N = \frac{60c}{19}$$
Low-cost firm serves more passengers. The cost advantage translates into both higher investment and higher market share.

Simultaneous Equilibrium

Equilibrium when pricing and investment decisions are made simultaneously

Equilibrium investments:

$$g_1^S = \frac{4}{5}(1 + 2c - t), \quad g_2^S = \frac{4}{5}(1 - 3c - t)$$

Equilibrium prices:

$$p_1^S = \frac{1}{5}(-1 - 2c + 6t), \quad p_2^S = \frac{1}{5}(-1 + 8c + 6t)$$

Equilibrium quantities:

$$q_1^S = \frac{4}{5}(1 + 2c - t), \quad q_2^S = \frac{4}{5}(1 - 3c - t)$$
Note: In the simultaneous game, strategic manipulation incentives are absent. The first-order condition for investments equals the welfare-optimal cost-minimizing rule.

Simultaneous vs. Sequential: Comparison

How strategic behavior changes equilibrium outcomes

Investment differences:

$$g_1^S - g_1^N = \frac{4(902c + 171(1-t))}{7505}, \quad g_2^S - g_2^N = \frac{4(-1073c + 171(1-t))}{7505}$$

Price differences:

$$p_1^S - p_1^N = \frac{8(-169c - 57(1-t))}{7505}, \quad p_2^S - p_2^N = \frac{8(226c - 57(1-t))}{7505}$$

Quantity differences:

$$q_1^S - q_1^N = \frac{16(188c + 19(1-t))}{7505}, \quad q_2^S - q_2^N = \frac{16(-207c + 19(1-t))}{7505}$$
Pattern: Cost asymmetries \(c\) move differences in opposite directions for firms 1 and 2. Strategic behavior becomes more relevant for the larger (low-cost) firm.

Strategic Underinvestment

Parameters:

\(t = 1/2\)

\(c \in [0, \bar{c}^S]\)

Note: Gap widens for the low-cost firm as \(c\) increases

Figure 1a: Strategic Underinvestment
Figure 1a: Strategic Underinvestment

Effect on Passenger Quantities

Figure 1b: Effect on Passenger Quantities
Figure 1b: Effect on Passenger Quantities

Parameters:

\(t = 1/2\)

\(c \in [0, \bar{c}^S]\)

Surprising: For high enough \(c\), \(q_2^N > q_2^S\). The low-cost rival's underinvestment softens competition so much that the high-cost firm expands!

Welfare Impact

Parameters:

\(t = 1/2\)

\(c \in [0, \bar{c}^S]\)

Result: Strategic underinvestment causes substantial welfare losses of 4–5% for high cost asymmetry.

Figure 2: Welfare Loss from Strategic Underinvestment
Figure 2: Welfare Loss from Strategic Underinvestment

Policy Implications

Carbon taxes are necessary but not sufficient. Strategic underinvestment implies Pigouvian taxes alone cannot achieve welfare-efficient greening.

Current Approach Problematic

  • EU ETS + fuel policies (SAF mandates)
  • Fuel policies are not technology-neutral
  • Restrict abatement to specific pathways
  • May increase overall greening costs

Our Recommendation Preferred

  • Maintain carbon pricing (ETS/tax)
  • Complement with technology standards
  • Target utilization-neutral investments
  • Fleet modernization mandates
  • Hull coating / aerodynamic requirements
Why not fuel policies? Green fuel decisions are likely simultaneous, so strategic underinvestment does not apply. But fuel policies are inherently non-technology-neutral.

Conclusions

  1. Carbon taxes create perverse incentives: Firms strategically underinvest in utilization-neutral green technology to soften price competition.
  2. Cost asymmetries matter: Strategic effects are stronger for low-cost competitors. High-cost rivals may paradoxically expand output.
  3. Welfare losses are substantial: 4–5% welfare loss from strategic underinvestment in our parameterization.
  4. Policy complementarity is key: Carbon taxes should be combined with technology standards targeting fleet modernization, not just fuel mandates.
Future research: Extend to Cournot competition, dynamic settings, empirical calibration using aviation/shipping data, and analyze optimal standard design.

EU ETS Expansion: Extra-European Flights

The proposed extension to departing flights from EEA airports

Current situation: The EU ETS covers only intra-EEA flights (within Europe). The "stop-the-clock" derogation, in place since 2012, defers coverage of extra-European flights until at least 2027.

Proposed Changes EU Commission

  • By July 2026, the Commission must assess whether more action is required for extra-European flights
  • Subject to the assessment, a legislative proposal could extend the EU ETS to departing flights from EEA airports
  • Incoming flights would be exempted
  • Alternatively, maintain intra-European scope if CORSIA is strengthened

Assessment Criteria EU ETS Directive

  • Has ICAO strengthened CORSIA in line with the Paris Agreement?
  • Do CORSIA-covered countries represent ≥70% of international aviation emissions?
  • If not, EU ETS expansion to departing flights from January 2027
My position (Czerny 2026): Covering interregional connections increases the effectiveness of the ETS. A global ETS would be ideal, but extending national ETSs to extra-regional connections is a practical second-best solution.

The EU ETS vs. CORSIA Debate

Why the aviation industry opposes expansion — and why I disagree

IATA / Industry Position Opposed

  • EU ETS expansion would conflict with CORSIA, the single global market-based measure
  • Risk of double burden — same emissions charged under both schemes
  • Creates competitive distortion with non-European hubs
  • May provoke retaliatory measures by third countries
  • Calls for full CORSIA implementation on all international flights, including intra-EEA routes
  • "Layering regional measures over a global framework creates redundant costs without environmental gain" — IATA, March 2026

My Counter-Arguments In Favor

  • CORSIA is weak: only offsets emissions above 85% of 2019 levels; baseline was rolled back from 2019–2020 average to 2019 alone
  • CORSIA credits priced at ~€3.20/tonne vs. EU ETS at ~€80/tonne — massive incentive gap
  • Major emitters (China, India, Russia) not participating in CORSIA compulsory phase
  • EU ETS is effective and efficient: caps emissions directly, incentivizes in-sector abatement
  • CORSIA is an offsetting mechanism, not a strict reduction system
  • Climate is a global problem; regional ETS expansion is a practical step toward broader coverage
Key tension: The aviation industry wants a single global scheme (CORSIA), but CORSIA lacks ambition and global participation. The EU ETS is more effective but faces political resistance. The EU must decide by July 2026.

Key References

  • Bulow, J.I., Geanakoplos, J.D., & Klemperer, P.D. (1985). Multimarket oligopoly: Strategic substitutes and complements. JPE.
  • Brander, J.A. & Spencer, B.J. (1983). Strategic commitment with R&D. Bell Journal.
  • Fudenberg, D. & Tirole, J. (1984). The fat-cat effect, the puppy-dog ploy, and the lean and hungry look. AER.
  • Pigou, A.C. (1920). The Economics of Welfare. Macmillan.
  • Vives, X. (1999). Oligopoly Pricing: Old Ideas and New Tools. MIT Press.
  • IEA (2025). Aviation & Shipping sector reports.
  • IATA (2026). Fuel efficiency data.
  • UNCTAD (2025). Seaborne trade statistics.

Thank You

Questions & Discussion

Achim I. CzernyYulai (Sarah) WanYixiao Wang
Department of Logistics and Maritime Studies
The Hong Kong Polytechnic University

Paper: "Greening transport: Carbon pricing sufficient?"
May 6, 2026