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Logic Seminar

Monday, February 8, 2021
12:00pm to 1:00pm
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Games, their values, and Baire class 1 functions
Márton Elekes, Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences,

We consider interesting descriptive set-theoretic problems emerging from theoretical economics. First, we investigate a certain two-player game coming from gambling theory. Then, as a by-product, we obtain a novel game that characterises the Baire class 1 functions. We mention how games can be used to define new natural ranks on the Baire class 1 functions. Finally, we determine the exact complexity of the so-called value of the above game, which turns out to be a less well-known class, namely analytic-inductive.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.