Coherency And Completeness Of Structural Models Containing A Dummy Endogenous Variable
AbstractLet "y" be a vector of endogenous variables and let "w" be a vector of covariates, parameters, and errors or unobservables that together are assumed to determine "y". A structural model "y"="H"("y", "w") is complete and coherent if it has a well-defined reduced form, meaning that for any value of "w" there exists a unique value for "y". Coherence and completeness simplifies identification and is required for many estimators and many model applications. Incoherency or incompleteness can arise in models with multiple decision makers, such as games, or when the decision making of individuals is either incorrectly or incompletely specified. This article provides necessary and sufficient conditions for the coherence and completeness of simultaneous equation systems where one equation is a binomial response. Examples are dummy endogenous regressor models, regime switching regressions, treatment response models, sample selection models, endogenous choice systems, and determining if a pair of binary choices are substitutes or complements. Copyright 2007 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.
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Bibliographic InfoArticle provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.
Volume (Year): 48 (2007)
Issue (Month): 4 (November)
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- Arthur Lewbel, 1997. "Coherence and Completeness of Structural Models Containing a Dummy Endogenous Variable," Boston College Working Papers in Economics 456, Boston College Department of Economics, revised 04 Sep 2006.
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