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Online Learning via Offline Greedy Algorithms: Applications in Market Design and Optimization

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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.

AI-written summary · about

  1. 0:00Introduction and motivation
  2. 1:36Marketplace examples
  3. 5:55Assortment planning problem
  4. 10:47Generic transformation tool
  5. 13:33Greedy algorithms and regret
  6. 16:17Blackwell approachability
  7. 21:58Transformation framework
  8. 26:40Performance and results
  9. 30:27Blackwell game implementation
  10. 38:02Extensions and limitations
  11. 41:26Summary and conclusion
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