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About this paper

Christopher Liaw, Aranyak Mehta, Andres Perlroth

This paper introduces and analyzes the randomized First Price Auction (rFPA) for auto-bidding environments, demonstrating that it achieves a Price of Anarchy (PoA) of 1.8 for two bidders, improving upon the PoA of 2 found in deterministic and truthful auctions. It also establishes an asymptotic PoA lower bound of 2 for a large number of bidders.

Key insights

  • Any deterministic auction satisfying reasonable assumptions has a Price of Anarchy (PoA) of at least 2, even with only two bidders.
  • Introducing randomization in allocation, particularly in a non-truthful First Price Auction (rFPA), can encourage more aggressive bidding and lead to efficiency improvements.
  • The benefit of non-truthfulness is demonstrated by comparing rFPA (PoA 1.8) to its truthful randomized counterpart (PoA 1.98) for two bidders.

Summary by alphaXiv.

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