Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional Expectations of Correspondences   We characterize the properties of convexity, compactness and preservation of
upper hemicontinuity for conditional expectations of correspondences. These
results are then applied to obtain a necessary and sufficient condition for the
existence of pure strategy equilibria in Bayesian games.

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn