Abstract
Bandit problems model the trade-off between exploration and exploitation in various decision problems. We study two-armed bandit problems in continuous time, where the risky arm can have two types: High or Low; both types yield stochastic payoffs generated by a Lévy process. We show that the optimal strategy is a cut-off strategy and we provide an explicit expression for the cut-off and for the optimal payoff.
Original language | English |
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Pages (from-to) | 92-107 |
Number of pages | 16 |
Journal | Mathematics of Operations Research |
Volume | 38 |
Issue number | 1 |
DOIs | |
State | Published - 1 Feb 2013 |
Externally published | Yes |
Keywords
- Cut-off strategies
- Lévy processes
- Two-armed bandit
ASJC Scopus subject areas
- General Mathematics
- Computer Science Applications
- Management Science and Operations Research