This is a reference request.
I'm interested in auction design problems of the following form:
- Consider one seller and many buyers.
- The seller seeks to sell multiple items where each item has multiple units.
- Each buyer is interested in getting exactly one unit from only one item.
- The seller wants to maximize the social welfare of all buyers.
Has this problem been studied in the literature? I have tried looking at combinatorial auctions, matching markets, and multi-parameter markets but so far haven't been lucky.
I'd appreciate any hints of direction where to look. Thank you!