Dynamic Stability of the Replicator Equation with Continuous Strategy Space

Cressman R (2004). Dynamic Stability of the Replicator Equation with Continuous Strategy Space. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-04-017

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Abstract

We extend previous work that analyzes the stability of dynamics on probability over continuous strategy spaces. the stability concept considered is that of convergence to the equilibrium distribution in the strong topology for all initial distributions whose support is close to this equilibrium. Stability criteria involving strategy domination and local superiority are developed for equilibrium distributions that are monomorphic (i.e. the equilibrium consists of a single strategy) and for equilibrium distributions that have finite support.

Item Type: Monograph (IIASA Interim Report)
Research Programs: Adaptive Dynamics Network (ADN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:17
Last Modified: 06 Nov 2016 13:04
URI: http://pure.iiasa.ac.at/7429

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