Christos Tzamos
Email:
@mit.edu
tzamos
Phone:
9091739
(617)
Office:
32G630, Stata Center
Web:
christos.me
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This example considers the case of 2 items and a single additive buyer whose values are distributed independently according to Beta distributions. Note that in the special case with Beta(1,1), the value for each item is distributed uniformly in [0,1].
The figure shows how the framework in the papers "Mechanism Design via Optimal Transport" and "Strong Duality for a MultipleGood Monopolist" can be applied to compute the optimal mechanism that maximizes the seller's expected revenue: