Abstract
Results from descriptive set theory are used to study measurability properties of the (upper) value of a measurably parametrized family of two-person, zero-sum games with measurable payoffs.
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Acknowledgments
The first author thanks John Baxter and Nikolai Krylov for useful conversations; the second author thanks Roger Purves for suggesting several improvements to an earlier draft of the paper. We also thank Fred Galvin for drawing our attention to the reference to Miller (1984). Finally, we are grateful to three referees and an associate editor for reading the paper, making a number of useful suggestions and, in particular, bringing to our attention references Kechris (1995), Nowak (1984), Nowak (2010), and Reider (1978) below.
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Prikry, K., Sudderth, W.D. Measurability of the value of a parametrized game. Int J Game Theory 45, 675–683 (2016). https://doi.org/10.1007/s00182-015-0476-8
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DOI: https://doi.org/10.1007/s00182-015-0476-8