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Calibration of CES functions for real-world multisectoral modeling

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  • Ferran Sancho

Abstract

We show how to calibrate CES production and utility functions when indirect taxation affecting inputs and consumption is present. These calibrated functions can then be used in computable general equilibrium models. Taxation modifies the standard calibration procedures since any taxed good has two associated prices and a choice of reference value units has to be made. We also provide an example of computer code to solve the calibration of CES utilities under two alternate normalizations. To our knowledge, this paper fills a methodological gap in the CGE literature.

Suggested Citation

  • Ferran Sancho, 2007. "Calibration of CES functions for real-world multisectoral modeling," UFAE and IAE Working Papers 715.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:715.07
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    References listed on IDEAS

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    Cited by:

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    6. Li, Aijun & Zhang, Aizhen & Cai, Hongbo & Li, Xingfeng & Peng, Shishen, 2013. "How large are the impacts of carbon-motivated border tax adjustments on China and how to mitigate them?," Energy Policy, Elsevier, vol. 63(C), pages 927-934.
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    8. Matthew K. Heun & João Santos & Paul E. Brockway & Randall Pruim & Tiago Domingos & Marco Sakai, 2017. "From Theory to Econometrics to Energy Policy: Cautionary Tales for Policymaking Using Aggregate Production Functions," Energies, MDPI, vol. 10(2), pages 1-44, February.
    9. Hu, Liqi & Chen, Shanshan & Zhang, Chengjie & Zhou, Lijuan & Li, Aijun, 2025. "Understanding the heterogeneous roles of China's sectors under the shock of second Trump administration's new tariffs: A novel method of shock-based input-output data envelopment analysis," Energy, Elsevier, vol. 324(C).
    10. Li, Aijun & Zhang, Aizhen, 2012. "Will carbon motivated border tax adjustments function as a threat?," Energy Policy, Elsevier, vol. 47(C), pages 81-90.
    11. Manuel Alejandro Cardenete & Ferran Sancho, 2012. "The Role Of Supply Constraints In Multiplier Analysis," Economic Systems Research, Taylor & Francis Journals, vol. 24(1), pages 21-34, June.
    12. MASSIANI, Jérôme, 2022. "Computable General Equilibrium assessment of mega-events: Issues and possible solutions," Journal of Policy Modeling, Elsevier, vol. 44(5), pages 920-942.
    13. Ferran Sancho, 2025. "Calibrated Cobb-Douglas functions: Summary and examples," UFAE and IAE Working Papers 976.25, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    14. Paul E. Brockway & Matthew K. Heun & João Santos & John R. Barrett, 2017. "Energy-Extended CES Aggregate Production: Current Aspects of Their Specification and Econometric Estimation," Energies, MDPI, vol. 10(2), pages 1-23, February.
    15. Ikizler, Burcin & Pehlivan, Ayse Ozgur, 2020. "New trade models, different distributions, same old results?," Economics Letters, Elsevier, vol. 187(C).
    16. Li, Aijun & Lin, Boqiang, 2013. "Comparing climate policies to reduce carbon emissions in China," Energy Policy, Elsevier, vol. 60(C), pages 667-674.
    17. Christophe Heyndrickx & Natalia Tourdyeva & Victoria Alexeeva-Talebi, 2011. "The SUSTRUS model: a CGE model on regional level for sustainability policies in Russia," EcoMod2011 3144, EcoMod.
    18. Lin, Boqiang & Li, Aijun, 2011. "Impacts of carbon motivated border tax adjustments on competitiveness across regions in China," Energy, Elsevier, vol. 36(8), pages 5111-5118.
    19. Warziniack, Travis W. & Finnoff, David & Shogren, Jason F., 2013. "Public economics of hitchhiking species and tourism-based risk to ecosystem services," Resource and Energy Economics, Elsevier, vol. 35(3), pages 277-294.
    20. M. Alejandro Cardenete & M. Carmen Lima & Ferran Sancho, 2017. "A multiplier evaluation of primary factors supply–shocks," Working Papers 17.01, Universidad Pablo de Olavide, Department of Economics, Quantitative Methods and Economic History.

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    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access

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