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Combining Top-Down and Bottom-up in Energy Policy Analysis: A Decomposition Approach

Author

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  • Rutherford, Thomas F.
  • Böhringer, Christoph
Abstract
The formulation of market equilibrium problems as mixed complementarity problems (MCP) permits integration of bottom-up programming models of the energy system into top-down general equilibrium models of the overall economy. Despite the coherence and logical appeal of the integrated MCP approach, implementation cost and dimensionality both impose limitations on its practical application. A complementarity representation involves both primal and dual relationships, often doubling the number of equations and the scope for error. When an underlying optimization model of the energy system includes upper and lower bounds on many decision variables the MCP formulation may suffer in robustness and efficiency. While bounds can be included in the MCP framework, the treatment of associated income effects is awkward. We present a decomposition of the integrated MCP formulation that permits a convenient combination of top-down general equilibrium models and bottom-up energy system models for energy policy analysis. We advocate the use of complementarity methods to solve the top-down economic equilibrium model and quadratic programming to solve the underlying bottom-up energy supply model. A simple iterative procedure reconciles the equilibrium prices and quantities between both models. We illustrate this approach using a simple stylized model.

Suggested Citation

  • Rutherford, Thomas F. & Böhringer, Christoph, 2006. "Combining Top-Down and Bottom-up in Energy Policy Analysis: A Decomposition Approach," ZEW Discussion Papers 06-007, ZEW - Leibniz Centre for European Economic Research.
    • Handle: RePEc:zbw:zewdip:4586
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    References listed on IDEAS

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    1. Frei, Christoph W. & Haldi, Pierre-Andre & Sarlos, Gerard, 2003. "Dynamic formulation of a top-down and bottom-up merging energy policy model," Energy Policy, Elsevier, vol. 31(10), pages 1017-1031, August.
    2. Bohringer, Christoph, 1998. "The synthesis of bottom-up and top-down in energy policy modeling," Energy Economics, Elsevier, vol. 20(3), pages 233-248, June.
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    More about this item

    Keywords

    Mathematical Programming; Mixed Complementarity; Top-Down/Bottom-Up;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy

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