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Incomplete Simultaneous Discrete Response Model with Multiple Equilibria

Incomplete Simultaneous Discrete Response Model with Multiple Equilibria A bivariate simultaneous discrete response model which is a stochastic representation of equilibria in a two-person discrete game is studied. The presence of multiple equilibria in the underlying discrete game maps into a region for the exogenous variables where the model predicts a nonunique outcome. This is an example of an incomplete econometric structure. Economists using this model have made simplifying assumptions to avoid multiplicity. I make a distinction between incoherent models and incomplete models, and then analyse the model in the presence of multiple equilibria, showing that the model contains enough information to identify the parameters of interest and to obtain a well defined semiparametric estimator. I also show that the latter is consistent and √n normal. Moreover, by exploiting the presence of multiplicity, one is able to obtain a more efficient estimator than the existing methods. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Review of Economic Studies Oxford University Press

Incomplete Simultaneous Discrete Response Model with Multiple Equilibria

The Review of Economic Studies , Volume 70 (1) – Jan 1, 2003

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References (17)

Publisher
Oxford University Press
Copyright
© Published by Oxford University Press.
Subject
Articles
ISSN
0034-6527
eISSN
1467-937X
DOI
10.1111/1467-937X.00240
Publisher site
See Article on Publisher Site

Abstract

A bivariate simultaneous discrete response model which is a stochastic representation of equilibria in a two-person discrete game is studied. The presence of multiple equilibria in the underlying discrete game maps into a region for the exogenous variables where the model predicts a nonunique outcome. This is an example of an incomplete econometric structure. Economists using this model have made simplifying assumptions to avoid multiplicity. I make a distinction between incoherent models and incomplete models, and then analyse the model in the presence of multiple equilibria, showing that the model contains enough information to identify the parameters of interest and to obtain a well defined semiparametric estimator. I also show that the latter is consistent and √n normal. Moreover, by exploiting the presence of multiplicity, one is able to obtain a more efficient estimator than the existing methods.

Journal

The Review of Economic StudiesOxford University Press

Published: Jan 1, 2003

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