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On the equivalence of location choice models: conditional logit, nested logit and poisson

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  • Kurt Schmidheiny

    ()
    (Universitat Pompeu Fabra)

  • Marius Brülhart

    ()
    (Université de Lausanne)

Abstract

It is well understood that the two most popular empirical models of location choice-conditional logit and Poisson - return identical coefficient estimates when the regressors are not individual specific. We show that these two models differ starkly in terms of their implied predictions. The conditional logit model represents a zero-sum world, in which one region's gain is the other regions' loss. In contrast, the Poisson model implies a positive-sum economy, in which one region's gain is no other region's loss. We also show that all intermediate cases can be represented as a nested logit model with a single outside option. The nested logit turns out to be a linear combination of the conditional logit and Poisson models. Conditional logit and Poisson elasticities mark the polar cases and can therefore serve as boundary values in applied research.

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Bibliographic Info

Paper provided by Institut d'Economia de Barcelona (IEB) in its series Working Papers with number 2009/14.

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Length: 25 pages
Date of creation: 2009
Date of revision:
Handle: RePEc:ieb:wpaper:2009/10/doc2009-14

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Keywords: firm location; residential choice; conditional logit; nested logit; Poisson count model;

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References

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