Grade Dynamics, Mixed Strategies and Gradient Systems

Sigmund, K. (1987). Grade Dynamics, Mixed Strategies and Gradient Systems. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-87-021

[thumbnail of WP-87-021.pdf]

Download (462kB) | Preview


Game dynamics, as a branch of frequency dependent population genetics, leads to replicator equations. If phenotypes correspond to mixed strategies, evolution will affect the frequencies of the phenotypes and of the strategies and thus lead to two dynamical models. Some examples of this, including the sex ratio, will be discussed with the help of a non-Euclidean metric leading to a gradient system. Some other examples from population genetics and chemical kinetics confirm the usefulness of such gradients in describing evolutionary optimization.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:58
Last Modified: 27 Aug 2021 17:13

Actions (login required)

View Item View Item