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Solving models with inequalities using standard econometric software

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  • ten Cate, Arie

Abstract

Simultaneouseconometric models may contain pairs of complementary inequalities. It is discussed how to reformulate such models and solve them with econometric software which can handle only equalities. Two approaches are applied: the normal map representation and the Fischer-Burmeister NCP function. The latter seems to work best. The software programs TSP, SAS/ETS and EViews are tested. The test model describes two markets for electricity, each with fluctuating demand and an endogenous production capacity; the capacity of the trade link between the regions is also endogenous.

Suggested Citation

  • ten Cate, Arie, 2009. "Solving models with inequalities using standard econometric software," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2055-2060, April.
    • Handle: RePEc:eee:csdana:v:53:y:2009:i:6:p:2055-2060
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    References listed on IDEAS

    as
    1. Arie ten Cate, 2007. "Modelling the reporting discrepancies in bilateral data," CPB Memorandum 179, CPB Netherlands Bureau for Economic Policy Analysis.
    2. Stephen M. Robinson, 1992. "Normal Maps Induced by Linear Transformations," Mathematics of Operations Research, INFORMS, vol. 17(3), pages 691-714, August.
    3. Arie ten Cate & Mark Lijesen, 2004. "The Elmar model: output and capacity in imperfectly competitive electricity markets," CPB Memorandum 94, CPB Netherlands Bureau for Economic Policy Analysis.
    4. Drud, Arne, 1983. "A survey of model representations and simulation algorithms in some existing modeling systems," Journal of Economic Dynamics and Control, Elsevier, vol. 5(1), pages 5-35, February.
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