Online Learning via Offline Greedy Algorithms: Applications in Market Design and Optimization
summary
Presents a concrete offline-to-online reduction that Blackwell approachability converts greedy, locally robust offline algorithms into online learners; requires two checkable conditions: robustness to local errors and Blackwell locality. Claims O(T^{1/2}) approximate regret under full information and introduces Bandit Blackwell approachability to get O(T^{2/3}) in bandit feedback. Applies to product ranking, reserve price optimization and submodular maximization, yields polynomial-time online policies with K·√T-type losses and simulations showing sometimes negative cumulative approximate regret.
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chapters (11)
- 0:00Introduction and motivation
- 1:36Marketplace examples
- 5:55Assortment planning problem
- 10:47Generic transformation tool
- 13:33Greedy algorithms and regret
- 16:17Blackwell approachability
- 21:58Transformation framework
- 26:40Performance and results
- 30:27Blackwell game implementation
- 38:02Extensions and limitations
- 41:26Summary and conclusion
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