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...

Online marketplaces allow consumers to leave reviews about the products they purchase, which are visible to potential customers and competitors. While the impact of reviews on valuations of worth and purchasing decisions has been intensively studied, little is known about how the reviews themselves are attended to, and the relation between attention and valuations. In three studies we use eye-t...

One constructs new operations of pull-back and push-forward on valuations on manifolds with respect to submersions and immersions. A general Radon type transform on valuations is introduced using these operations and the product on valuations. It is shown that the classical Radon transform on smooth functions, and the well known Radon transform on constructible functions with respect to the Eul...