Summary
We provide necessary and sufficient conditions for weak (semi)continuity of the expected utility. Such conditions are also given for the weak compactness of the domain of the expected utility. Our results have useful applications in cooperative solution concepts in economies and games with differential information, in noncooperative games with differential information and in principal-agent problems.
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Balder, E.J., Yannelis, N.C. On the continuity of expected utility. Econ Theory 3, 625–643 (1993). https://doi.org/10.1007/BF01210263
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DOI: https://doi.org/10.1007/BF01210263