Marton Elekes: Games, their values, and Baire class 1 functions

Tuesday, Fabruary 2, 2021 17:00

Location: Zoom.us: if you want to participate please contact organizers

Speaker:
Marton Elekes (Alfred Renyi Institute)

Title: Games, their values, and Baire class 1 functions

Abstract: 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 characterizes 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.