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Econometrics for Learning Agents

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Claim: bidders are best-modeled as vanishing-regret learning agents, not Nash equilibria, so values can be inferred from bid histories. Method: convert regret inequalities into a convex rationalizable set, recover it via its support function which reduces inference to a single curve of increase-in-cost vs increase-in-click probability. Data and results: applied to nine frequent changers on Bing, point estimates use the smallest multiplicative regret; average observed bids are ~60% of predicted values, many listings show near-zero regret while others reach ~50%; simulations with multiplicative-weight learners recover true values.

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  1. 0:00Basic econometric task
  2. 1:06Requires behavioral assumption
  3. 1:39Behavior is far from stable
  4. 2:22Sophisticated bidding tools
  5. 2:57Learning agent model
  6. 4:05No-regret assumption
  7. 6:32Why no-regret?
  8. 7:41High-level approach
  9. 9:10Sponsored search auction setting
  10. 13:12Examples from real data
  11. 13:26Characterizing the rationalizable set
  12. 14:54Inference of rationalizable set
  13. 17:02Data Description
  14. 17:36Point prediction in real data
  15. 18:07Distribution of bid shading: Average bid / Predicted Value
  16. 18:38Distribution of smallest rationalizable multiplicative regret
  17. 19:18Correlation: regret vs bid shading
  18. 20:24Setup
  19. 20:46Rationalizable Sets over Time
  20. 22:12Distribution of Prediction Errors
  21. 22:41Distribution of Predicted Values
  22. 23:17Conclusion
  23. 23:38Next Steps/Directions - Dynamic analysis of nationalizable sets
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