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 J. Math. 2013). We apply our result to integration of Banach space valued correspondences and to the core-Walras equivalence problem in coalitional exchange economies with an infinite-dimensional commodity space.

We formulate a stability notion for two‐sided pairwise matching problems with individually insignificant agents in distributional form. Matchings are formulated as joint distributions over the characteristics of the populations to be matched. Spaces of characteristics can be high‐dimensional and need not be compact. Stable matchings exist with and without transfers, and stable matchings correspond precisely to limits of stable matchings for finite‐agent models. We can embed existing continuum matching models and stability notions with transferable utility as special cases of our model and stability notion. In contrast to finite‐agent matching models, stable matchings exist under a general class of externalities.

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Investors who maximize subjective expected utility will generally trade in an asset unless the market price exactly equals the expected return, but few people participate in the stock market. [Dow and da Costa Werlang, Econometrica 1992] show that an ambiguity averse decision maker might abstain from trading in an asset for a wide interval of prices and use this fact to explain the lack of participation in the stock market. We show that when markets operate via limit orders, all investment behavior will be observationally equivalent to maximizing subjective expected utility; ambiguity aversion has no additional explanatory power. * Examples similar to our motivating example have been studied by Dominique Päper and Peter Habiger in their respective master theses written under the supervision of Christoph Kuzmics. We are grateful to both as well as Patrick Beissner, Frank Riedel, Jan Werner, and Michael Zierhut as well as seminar audiences at the