Statistics Papers

Document Type

Journal Article

Date of this Version

10-1990

Publication Source

Theoretical Population Biology

Volume

38

Issue

2

Start Page

219

Last Page

232

DOI

10.1016/0040-5809(90)90011-J

Abstract

The concept of an evolutionary stable strategy (ESS) is a useful tool for studying the dynamics of natural selection. One of its limitations, however, is that it does not capture the notion of long-run stability when the system is subjected to stochastic effects. We define the concept of stability in a stochastic dynamical system, and show that it differs from both the traditional ESS and the concept of an attractor in a dynamical system. The stochastically stable set may be computed analytically using recent advances in potential theory.

Copyright/Permission Statement

© 1990. This manuscript version is made available under the CC-BY-NC-ND 4.0 license.

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Date Posted: 27 November 2017

This document has been peer reviewed.