It is shown that for any sufficiently regular even Minkowski valuation Φ which homogeneous and intertwines rigid motions, convex body K in a smooth neighborhood of the unit ball, there exists sequence positive numbers (γm)m=1∞ such (γmΦmK)m=1∞ converges to ball with respect Hausdorff metric.

We study the efficiency of sequential first-price item auctions at (subgame perfect) equilibrium. This auction format has recently attracted much attention, with previous work establishing positive results for unit-demand valuations and negative results for submodular valuations. This leaves a large gap in our understanding between these valuation classes. In this work we resolve this gap on th...

We study how patrons attending a baseball game value different seats in a professional league stadium based on their location and view. Most surprisingly, we find that customers seated in symmetric seats on left and right fields might derive very different valuations from the game. Thus, commonly followed symmetric pricing mechanisms in baseball stadiums might be inefficient from a revenue mana...