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Structural Estimation of Auction Data through Equilibrium Learning and Optimal Transport

Structural Estimation of Auction Data through Equilibrium Learning and Optimal Transport

Markus Ewert and Martin Bichler
This study proposes a new method for analyzing auction data to understand bidders' private valuations. It extends an existing framework by reformulating the estimation challenge as an optimal transport problem, which avoids the statistical limitations of traditional techniques. This novel approach uses a proxy equilibrium model to analytically evaluate bid distributions, leading to more accurate and robust estimations.

Problem Designing profitable auctions, such as setting an optimal reserve price, requires knowing how much bidders are truly willing to pay, but this information is hidden. Existing methods to estimate these valuations from observed bids often suffer from statistical biases and inaccuracies, especially with limited data, leading to poor auction design and lost revenue for sellers.

Outcome - The proposed optimal transport-based estimator consistently outperforms established kernel-based techniques, showing significantly lower error in estimating true bidder valuations.
- The new method is more robust, providing accurate estimates even in scenarios with high variance in bidding behavior where traditional methods fail.
- In practical tests, reserve prices set using the new method's estimates led to significant revenue gains for the auctioneer, while prices derived from older methods resulted in zero revenue.
Structural Estimation, Auctions, Equilibrium Learning, Optimal Transport, Econometrics