“…Second, it is common for the bidder to have some constraints on the advertising campaign, such as a maximum budget per day, or a maximum cost per click [Conitzer et al, 2018, Heymann, 2019. While in several cases a linear scaling applied to the display valuation may be enough to optimally satisfy a budget constraint, the value of this scaling factor is not known in advance, and several articles propose to update the bidding strategy to better take such constraint into account [Cai et al, 2017, Grislain et al, 2019, Lee et al, 2013, Yang et al, 2019. In the present work, we do not consider such constraints, but those methods might be applied on top of ours.…”