Evolution in Switching Environments (Work in Progress)

Speaker
Omer Edhan
Date
17/01/2023 - 12:30 - 11:00Add To Calendar 2023-01-17 11:00:00 2023-01-17 12:30:00 Evolution in Switching Environments (Work in Progress) Evolutionary dynamics has mostly been considered in a fixed environment, with “noise” usually stemming from mutations or population size. Nevertheless, many examples in economics, evolution, and ecology require a changing environment. In this work in progress I consider a model of replicator dynamics in stochastically switching environments and aim to study its stationary distribution(s). I will present results regarding the stationary distribution for 2X2 and 3X3 games as well as for potential games. The difficulty in extending the results to more general cases will also be discussed.  BIU Economics common room אוניברסיטת בר-אילן - Department of Economics Economics.Dept@mail.biu.ac.il Asia/Jerusalem public
Place
BIU Economics common room
Affiliation
The University of Manchester
Abstract

Evolutionary dynamics has mostly been considered in a fixed environment, with “noise” usually stemming from mutations or population size. Nevertheless, many examples in economics, evolution, and ecology require a changing environment. In this work in progress I consider a model of replicator dynamics in stochastically switching environments and aim to study its stationary distribution(s). I will present results regarding the stationary distribution for 2X2 and 3X3 games as well as for potential games. The difficulty in extending the results to more general cases will also be discussed. 

Last Updated Date : 10/01/2023