Mentors and Recombinators: Multi-Dimensional Social Learning

Speaker
Yuval Heller, Bar-Ilan University
Date
21/06/2022 - 13:00 - 11:30Add To Calendar 2022-06-21 11:30:00 2022-06-21 13:00:00 Mentors and Recombinators: Multi-Dimensional Social Learning We study games in which the set of strategies is multi-dimensional, and new agents might learn various strategic dimensions from different mentors. We introduce a new family of dynamics, the recombinator dynamics, which is characterized by a single parameter, the recombination rate r ∈ [0,1]. The case of r = 0 coincides with the standard replicator dynamics. The opposite case of r = 1 corresponds to a setup in which each new agent learns each new strategic dimension from a different mentor, and combines these dimensions into her adopted strategy. We fully characterise stationary states and stable states under these dynamics, and we show that they predict novel behaviour in various applications.   Joint with: Srinivas Arigapudi, Omer Edhan, Ziv Hellman   Links to a preliminary draft of the paper, the seminar recording, and the slides.     BIU Economics common room and will be Zoomed on https://us02web.zoom.us/j/82536086839 אוניברסיטת בר-אילן - המחלקה לכלכלה Economics.Dept@mail.biu.ac.il Asia/Jerusalem public
Place
BIU Economics common room and will be Zoomed on https://us02web.zoom.us/j/82536086839
Affiliation
https://sites.google.com/site/yuval26/
Abstract

We study games in which the set of strategies is multi-dimensional, and new agents might learn various strategic dimensions from different mentors. We introduce a new family of dynamics, the recombinator dynamics, which is characterized by a single parameter, the recombination rate r ∈ [0,1]. The case of r = 0 coincides with the standard replicator dynamics. The opposite case of r = 1 corresponds to a setup in which each new agent learns each new strategic dimension from a different mentor, and combines these dimensions into her adopted strategy. We fully characterise stationary states and stable states under these dynamics, and we show

that they predict novel behaviour in various applications.
 
Joint with: Srinivas Arigapudi, Omer Edhan, Ziv Hellman
 
Links to a preliminary draft of the paper, the seminar recording, and the slides.
 
 

תאריך עדכון אחרון : 21/06/2022