  Auctions via social network, pioneered by Li et al. (2017), have been
attracting considerable attention in the literature of mechanism design for
auctions. However, no known mechanism has satisfied strategy-proofness,
non-deficit, non-wastefulness, and individual rationality for the multi-unit
unit-demand auction, except for some naive ones. In this paper, we first
propose a mechanism that satisfies all the above properties. We then make a
comprehensive comparison with two naive mechanisms, showing that the proposed
mechanism dominates them in social surplus, seller's revenue, and incentive of
buyers for truth-telling. We also analyze the characteristics of the social
surplus and the revenue achieved by the proposed mechanism, including the
constant approximability of the worst-case efficiency loss and the complexity
of optimizing revenue from the seller's perspective.
