TY - UNPB
T1 - How McFadden Met Rockafellar and Learnt to Do More With Less
AU - Sørensen, Jesper Riis-Vestergaard
AU - Fosgerau, Mogens
PY - 2020/4/30
Y1 - 2020/4/30
N2 - We study the additive random utility model of discrete choice under minimal assumptions. We place no restrictions on the joint distribution of random utility components or the functional form of systematic utility components. Exploiting the power of convex analysis, we are nevertheless able to generalize a range of important results without resorting to differential theory. We characterize demand with a generalized Williams-Daly-Zachary theorem. A similarly generalized version of Hotz-Miller inversion yields constructive partial identication of systematic utilities for any known jointdistribution of stochastic utility components. Estimators based on our partial identication result remain well defined in the presence of zeros in demand. We also provide conditions for point identication, which are not only sufficient, but also necessary.
AB - We study the additive random utility model of discrete choice under minimal assumptions. We place no restrictions on the joint distribution of random utility components or the functional form of systematic utility components. Exploiting the power of convex analysis, we are nevertheless able to generalize a range of important results without resorting to differential theory. We characterize demand with a generalized Williams-Daly-Zachary theorem. A similarly generalized version of Hotz-Miller inversion yields constructive partial identication of systematic utilities for any known jointdistribution of stochastic utility components. Estimators based on our partial identication result remain well defined in the presence of zeros in demand. We also provide conditions for point identication, which are not only sufficient, but also necessary.
KW - Faculty of Social Sciences
KW - Additive random utility model
KW - Discrete choice
KW - Convex duality
KW - Demand inversion
KW - Partial identification
KW - C25
KW - C6
KW - D11
UR - https://www.mendeley.com/catalogue/7c4a7c18-a4f7-36c3-9896-d55df16ad08d/
U2 - 10.2139/ssrn.3581570
DO - 10.2139/ssrn.3581570
M3 - Working paper
T3 - University of Copenhagen. Institute of Economics. Discussion Papers (Online)
BT - How McFadden Met Rockafellar and Learnt to Do More With Less
ER -