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Modeling Climate Policy Instruments in a Stackelberg Game with ...

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IV<br />

CONTENTS<br />

4.2 Input vs. Output Taxation . . . . . . . . . . . . . . . . . . . . . 60<br />

4.2.1 Input Taxation: Resource Tax . . . . . . . . . . . . . . . 62<br />

4.2.2 Output Taxation: Energy Tax . . . . . . . . . . . . . . . 62<br />

4.2.3 Hybrid Taxes . . . . . . . . . . . . . . . . . . . . . . . . . 64<br />

4.2.4 Abatement Subsidy . . . . . . . . . . . . . . . . . . . . . 66<br />

4.2.5 Comparison and Conclusions . . . . . . . . . . . . . . . . 66<br />

4.3 Competition <strong>Policy</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . 69<br />

4.3.1 Market Power and Resource Conservationism . . . . . . . 69<br />

4.3.2 Taxes to Correct Market Power . . . . . . . . . . . . . . . 71<br />

4.3.3 Mitigation under Market Power . . . . . . . . . . . . . . . 73<br />

4.3.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 76<br />

4.4 Technology <strong>Policy</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . 76<br />

4.4.1 Learn<strong>in</strong>g-by-Do<strong>in</strong>g Spillovers . . . . . . . . . . . . . . . . 76<br />

4.4.2 Public R&D Expenditures . . . . . . . . . . . . . . . . . . 81<br />

4.4.3 Comb<strong>in</strong><strong>in</strong>g LbD and R&D . . . . . . . . . . . . . . . . . . 83<br />

4.4.4 Mitigation Policies under Technological Change . . . . . . 85<br />

5 Conclud<strong>in</strong>g Remarks and Reflections 91<br />

A Reformulat<strong>in</strong>g the Discrete Optimization Problem 97<br />

B Derivatives of Several Functions 99<br />

B.1 Utility Function . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99<br />

B.2 Nested CES Production Function of Good Produc<strong>in</strong>g Sector . . . 99<br />

B.3 CES Production Function of Fossil Energy Sector . . . . . . . . . 99<br />

B.4 Capital Productivity of Resource Extraction . . . . . . . . . . . . 100<br />

B.5 Renewable Energy Sector . . . . . . . . . . . . . . . . . . . . . . 100<br />

C The <strong>Stackelberg</strong> Leader Optimization Problem 101<br />

D Decomposition Analysis 104<br />

E List of Variables and Parameters 105<br />

E.1 Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105<br />

E.2 Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106<br />

References 109

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