  Auto-bidding has become one of the main options for bidding in online
advertisements, in which advertisers only need to specify high-level objectives
and leave the complex task of bidding to auto-bidders. In this paper, we
propose a family of auctions with boosts to improve welfare in auto-bidding
environments with both return on ad spend constraints and budget constraints.
Our empirical results validate our theoretical findings and show that both the
welfare and revenue can be improved by selecting the weight of the boosts
properly.
