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Evolution, dynamics, and fixed points

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  • Joosten ,Reinoud

    (MERIT)

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    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.

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    Bibliographic Info

    Paper provided by Maastricht : MERIT, Maastricht Economic Research Institute on Innovation and Technology in its series Research Memoranda with number 005.

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    Date of creation: 1995
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    Handle: RePEc:dgr:umamer:1995005

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    Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm

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    Keywords: mathematical economics and econometrics;

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