Template-type: ReDif-Paper 1.0
Author-Name: Joosten, Reinoud
Author-workplace-name: MERIT 
Title: Evolution, dynamics, and fixed points
Abstract: Sign-compatible dynamics describe changes in the composition of a population driven by differences in fitness. A saturated equilibrium is a fixed point for sign-compatible dynamics where each subgroup with positive population share has highest fitness. An evolutionary stable equilibrium is a saturated equilibrium attracting all trajectories nearby, such that the Euclidean distance to it decreases monotonically. We address existence, multiplicity, and dynamical stability of fixed points of sign-compatible dynamics. A saturated equilibrium may be approximated by using a variable dimension restart algorithm for solving the nonlinear complementarity problem. Journal of Economic Literature Classification Numbers: C62, C68, C72, C73. Keywords: Sign-compatible population dynamics, saturated equilibrium, evolutionary stable equilibrium, dynamic stability, nonlinear complementarity problem. 
Keywords: mathematical economics and econometrics  
Series: Research Memoranda
Creation-Date: 1995
Number: 005
File-URL: https://unu-merit.nl/publications/rmpdf/1995/rm1995-005.pdf
File-Format: application/pdf
File-Size: 219067
Handle: RePEc:unm:umamer:1995005