Journal of Optimization Theory and Applications, volume 175, issue 2, pages 567-589
On the Stability and Solution Sensitivity of a Consumer Problem
Publication type: Journal Article
Publication date: 2017-09-05
Q1
Q3
SJR: 0.864
CiteScore: 3.3
Impact factor: 1.6
ISSN: 00223239, 15732878
Applied Mathematics
Control and Optimization
Management Science and Operations Research
Abstract
Various stability properties and a result on solution sensitivity of a consumer problem are obtained in this paper. Focusing on some nice features of the budget map, we are able to establish the continuity and the locally Lipschitz continuity of the indirect utility function, as well as the Lipschitz–Hölder continuity of the demand map under a minimal set of assumptions. The recent work of Penot (J Nonlinear Convex Anal 15:1071–1085, 2014) is our starting point, while an implicit function theorem of Borwein (J Optim Theory Appl 48:9–52, 1986) and a theorem of Yen (Appl Math Optim 31:245–255, 1995) on solution sensitivity of parametric variational inequalities are the main tools in our proofs.
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Huong V. T., YAO J., Yen N. D. On the Stability and Solution Sensitivity of a Consumer Problem // Journal of Optimization Theory and Applications. 2017. Vol. 175. No. 2. pp. 567-589.
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Huong V. T., YAO J., Yen N. D. On the Stability and Solution Sensitivity of a Consumer Problem // Journal of Optimization Theory and Applications. 2017. Vol. 175. No. 2. pp. 567-589.
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TY - JOUR
DO - 10.1007/s10957-017-1164-6
UR - https://doi.org/10.1007/s10957-017-1164-6
TI - On the Stability and Solution Sensitivity of a Consumer Problem
T2 - Journal of Optimization Theory and Applications
AU - Huong, VU THI
AU - YAO, JEN-CHIH
AU - Yen, Nguyen Dong
PY - 2017
DA - 2017/09/05
PB - Springer Nature
SP - 567-589
IS - 2
VL - 175
SN - 0022-3239
SN - 1573-2878
ER -
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@article{2017_Huong,
author = {VU THI Huong and JEN-CHIH YAO and Nguyen Dong Yen},
title = {On the Stability and Solution Sensitivity of a Consumer Problem},
journal = {Journal of Optimization Theory and Applications},
year = {2017},
volume = {175},
publisher = {Springer Nature},
month = {sep},
url = {https://doi.org/10.1007/s10957-017-1164-6},
number = {2},
pages = {567--589},
doi = {10.1007/s10957-017-1164-6}
}
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Huong, VU THI, et al. “On the Stability and Solution Sensitivity of a Consumer Problem.” Journal of Optimization Theory and Applications, vol. 175, no. 2, Sep. 2017, pp. 567-589. https://doi.org/10.1007/s10957-017-1164-6.