The Maximum Principle for Replicator Equations

Sigmund K (1984). The Maximum Principle for Replicator Equations. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-84-056

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Abstract

By introducing a non-Euclidean metric on the unit simplex, it is possible to identify an interesting class of gradient systems within the ubiquitous "replicator equations" of evolutionary biomathematics. In the case of homogeneous potentials, this leads to maximum principles governing the increase of the average fitness, both in population genetics and in chemical kinetics.

This research was carried out as part of the Dynamics of Macrosystems Feasibility Study in the System and Decision Sciences Program.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:54
Last Modified: 21 Jul 2016 15:01
URI: http://pure.iiasa.ac.at/2462

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