On Revenue Optimal Combinatorial Auctions - IFP Group at the ...

Extending the Model to Single-Minded Buyers
The bid vector (b, v) = reported vector of (bundles, values).
The collection of all possible sets of winners, A(b), depends on b.
A ∈ A(b) if the reported bundles of buyers in set A are disjoint.
The allocation rule π and payments M depend jointly on (b, v).
The virtual-valuation function, w n (b n , v n ), is now constructed from
the condition random variable (X n |B n = b n ).