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Social Planner’s Carbon Tax Problem Revisited: A New Mathematical Approach

社会的計画者の炭素税問題再考:新しい数学的アプローチ (AI 翻訳)

Kaan Öğüt, Çağlar Yurtseven

Sosyoekonomi📚 査読済 / ジャーナル2026-04-28#炭素価格
DOI: 10.17233/sosyoekonomi.2026.02.14
原典: https://doi.org/10.17233/sosyoekonomi.2026.02.14
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🤖 gxceed AI 要約

日本語

本論文は、炭素税が企業の排出量と再生可能エネルギーへの移行速度に与える影響を評価する動学的モデルを提示する。CES-コブダグラス混合生産関数を用いて、労働、資本、再生可能・非再生可能エネルギーの代替・補完関係を捉え、シミュレーションにより炭素税が再生可能エネルギー需要を増加させ、累積排出量を減少させることを示す。政策立案者にとって炭素税政策の時間的影響を評価する有用なツールとなる。

English

This paper presents a dynamic model to assess the impact of carbon taxes on firm emissions and the speed of transition to renewable energy. Using a CES-Cobb-Douglas mixed production function, it captures substitutability and complementarity between labor, capital, and energy sources. Simulations show that carbon taxes increase renewable energy demand and reduce cumulative emissions, providing a valuable tool for policymakers.

Unofficial AI-generated summary based on the public title and abstract. Not an official translation.

📝 gxceed 編集解説 — Why this matters

日本のGX文脈において

日本のGX政策では炭素税やカーボンプライシングが重要な議論となっている。本モデルは理論的枠組みを提供し、日本の排出量取引制度や炭素税導入の検討に示唆を与える可能性がある。

In the global GX context

This theoretical model offers insights into the design of carbon pricing policies globally, especially relevant as CBAM and carbon tax debates intensify. While not empirically validated, it provides a dynamic framework to understand energy transition under carbon taxes.

👥 読者別の含意

🔬研究者:Offers a novel dynamic modeling approach for analyzing carbon tax impacts on energy transition, valuable for academic research in environmental economics and policy.

🏛政策担当者:Provides a simulation-based tool for policymakers to assess the temporal effects of carbon taxes on renewable energy adoption and emission reductions.

📄 Abstract(原文)

The carbon tax, a mechanism that penalises carbon dioxide-emitting energy sources, has regained policy relevance amid the global debate over the Carbon Border Adjustment Mechanism (CBAM). This study aims to develop and analyse a novel dynamic model to explicitly assess the impact of carbon taxes on firm emissions and the speed of transition to renewable energy sources. The model is based on a social planner maximising lifetime utility, incorporating short-run profit maximisation by firms regarding energy demand. A CES-Cobb-Douglas mixed production function is utilised to capture the substitutability and complementarity of labour, capital, and renewable and non-renewable energy sources. This function's application is a key contribution, enabling the dynamic characterisation of interactions between energy types and production factors through specific parameterisation. The model follows a conceptual system-dynamics approach developed for explanatory purposes, without empirical data, and emphasises the structural feedback mechanisms that drive the dynamics of the energy transition. Simulations of the model indicate that, following the imposition of a carbon tax, non-renewable energy demand decreases over time, accompanied by a corresponding increase in renewable energy demand. The model further demonstrates a reduction in cumulative emissions with increased tax levels. Additionally, the time-dependent elasticity of output with respect to renewable energy input shows a notable increase, indicating the growing competitiveness of renewable sources. These findings suggest that strategically designed carbon taxes within the proposed dynamic framework can effectively accelerate the shift to renewable energy and reduce long-term carbon emissions. This model provides policymakers with a valuable tool for assessing the temporal impacts of carbon tax policies on energy transitions.

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