Evolution, dynamics, and fixed points

Joosten, Reinoud (1995). Evolution, dynamics, and fixed points. UNU-MERIT Research Memoranda. UNU-MERIT.

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  • Sub-type Working paper
    Author Joosten, Reinoud
    Title Evolution, dynamics, and fixed points
    Series Title UNU-MERIT Research Memoranda
    Volume/Issue No. 6
    Publication Date 1995
    Publisher UNU-MERIT
    Language eng
    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.
    Keyword Sign-compatible population dynamics
    Saturated equilibrium
    Evolutionary stable equilibrium
    Dynamic stability
    Nonlinear complementarity problem
    JEL C62
    C68
    C72
    C73
    Copyright Year 1995
    Copyright type All rights reserved
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    Created: Fri, 13 Dec 2013, 13:03:27 JST