  Automated auction design aims to find empirically high-revenue mechanisms
through machine learning. Existing works on multi item auction scenarios can be
roughly divided into RegretNet-like and affine maximizer auctions (AMAs)
approaches. However, the former cannot strictly ensure dominant strategy
incentive compatibility (DSIC), while the latter faces scalability issue due to
the large number of allocation candidates. To address these limitations, we
propose AMenuNet, a scalable neural network that constructs the AMA parameters
(even including the allocation menu) from bidder and item representations.
AMenuNet is always DSIC and individually rational (IR) due to the properties of
AMAs, and it enhances scalability by generating candidate allocations through a
neural network. Additionally, AMenuNet is permutation equivariant, and its
number of parameters is independent of auction scale. We conduct extensive
experiments to demonstrate that AMenuNet outperforms strong baselines in both
contextual and non-contextual multi-item auctions, scales well to larger
auctions, generalizes well to different settings, and identifies useful
deterministic allocations. Overall, our proposed approach offers an effective
solution to automated DSIC auction design, with improved scalability and strong
revenue performance in various settings.
