We present a result on convexity and weak compactness of the range of a vector measure with values in a Banach space, based on the Maharam classification of measure spaces. Our result extends a recent result of Khan and Sagara [Illinois Journal of Mathematics, forthcoming].

We formulate a general model and stability notion for two-sided pairwise matching problems with individually insignificant agents. Matchings are formulated as joint distributions over the characteristics of the populations to be matched. These characteristics can be high-dimensional and need not...

We show that concepts introduced by Aumann more than thirty years ago throw a new light on purification in games with extremely dispersed private information. We show that one can embed payoff-irrelevant randomization devices in the private information of players and use these randomization...