Title
Strategies for Prediction Under Imperfect Monitoring
Abstract
We propose simple randomized strategies for sequential decision (or prediction) under imperfect monitoring, that is, when the decision maker (forecaster) does not have access to the past outcomes but rather to a feedback signal. The proposed strategies are consistent in the sense that they achieve, asymptotically, the best-possible average reward among all fixed actions. It was Rustichini [Rustichini, A. 1999. Minimizing regret: The general case. Games Econom. Behav.29 224--243] who first proved the existence of such consistent predictors. The forecasters presented here offer the first constructive proof of consistency. Moreover, the proposed algorithms are computationally efficient. We also establish upper bounds for the rates of convergence. In the case of deterministic feedback signals, these rates are optimal up to logarithmic terms.
Year
DOI
Venue
2008
10.1287/moor.1080.0312
Clinical Orthopaedics and Related Research
Keywords
DocType
Volume
possible average reward,deterministic feedback signal,sequential decision,consistent predictor,regret,general case,feedback signal,proposed algorithm,decision maker,past outcome,minimizing regret,constructive proof,games econom,hannan consistency,imperfect monitoring,proposed strategy,repeated games,deterministic feedback,on-line learning,sequential prediction
Journal
33
Issue
ISSN
Citations 
3
Mathematics of Operations Research (2008) \`a para\^itre
10
PageRank 
References 
Authors
0.98
14
3
Name
Order
Citations
PageRank
GáBor Lugosi11092195.02
Shie Mannor23340285.45
Gilles Stoltz335131.53