Teaching and learning in uncertainty
2nd March 2018, 2:00 pm – 3:00 pm
Main Maths Building, SM3
We investigate a simple model for social learning with two characters: a teacher and a student. The teacher's goal is to teach the student the state of the world $Theta$, however, the teacher herself is not certain about $Theta$ and needs to simultaneously learn it and teach it. We examine several natural strategies the teacher may employ to make the student learn as fast as possible. Our primary technical contribution is analyzing the exact learning rates for these strategies by studying the large deviation properties of the sign of a transient random walk on $mathbb Z$.