A classical decision theoretic perspective on worst-case analysis
Applications of Mathematics, Tome 56 (2011) no. 5, pp. 499-509
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
We examine worst-case analysis from the standpoint of classical Decision Theory. We elucidate how this analysis is expressed in the framework of Wald's famous Maximin paradigm for decision-making under strict uncertainty. We illustrate the subtlety required in modeling this paradigm by showing that information-gap's robustness model is in fact a Maximin model in disguise.
We examine worst-case analysis from the standpoint of classical Decision Theory. We elucidate how this analysis is expressed in the framework of Wald's famous Maximin paradigm for decision-making under strict uncertainty. We illustrate the subtlety required in modeling this paradigm by showing that information-gap's robustness model is in fact a Maximin model in disguise.
DOI :
10.1007/s10492-011-0028-x
Classification :
68T37, 90C47, 91A05, 91B06
Keywords: worst-case analysis; uncertainty; decision theory; maximin; robustness
Keywords: worst-case analysis; uncertainty; decision theory; maximin; robustness
@article{10_1007_s10492_011_0028_x,
author = {Sniedovich, Moshe},
title = {A classical decision theoretic perspective on worst-case analysis},
journal = {Applications of Mathematics},
pages = {499--509},
year = {2011},
volume = {56},
number = {5},
doi = {10.1007/s10492-011-0028-x},
mrnumber = {2852068},
zbl = {1249.91023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0028-x/}
}
TY - JOUR AU - Sniedovich, Moshe TI - A classical decision theoretic perspective on worst-case analysis JO - Applications of Mathematics PY - 2011 SP - 499 EP - 509 VL - 56 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0028-x/ DO - 10.1007/s10492-011-0028-x LA - en ID - 10_1007_s10492_011_0028_x ER -
Sniedovich, Moshe. A classical decision theoretic perspective on worst-case analysis. Applications of Mathematics, Tome 56 (2011) no. 5, pp. 499-509. doi: 10.1007/s10492-011-0028-x
Cité par Sources :