EconPapers    
Economics at your fingertips  
 

On the Evolutionary Selection of Nash Equilibrium Components

Dieter Balkenborg and Karl Schlag ()

No 106, Discussion Papers from University of Exeter, Department of Economics

Abstract: It is well known for the common multi-population evolutionary dynamics applied to normal form games that a pure strategy combination is asymptotically stable if and only if it is a strict equilibrium point. We extend this result to sets as follows. For certain regular selection dynamics every connected and closed asymptotically stable set of rest points containing a pure strategy combination is a strict equilibrium set and hence a Nash equilibrium component. A converse statement holds for two person games, for convex strict equilibrium sets and for the standard replicator dynamic.

Keywords: evolutionary dynamics; replicator dynamic; regular selection dynamics; strict equilibrium set; Nash equilibrium component. (search for similar items in EconPapers)
JEL-codes: C79 (search for similar items in EconPapers)
Date: 2001-09
References: Add references at CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Downloads: (external link)
http://people.exeter.ac.uk/RePEc/dpapers/DP0106.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:exe:wpaper:0106

Access Statistics for this paper

More papers in Discussion Papers from University of Exeter, Department of Economics Contact information at EDIRC.
Bibliographic data for series maintained by Jingnan (Cecilia) Chen ().

 
Page updated 2020-03-29
Handle: RePEc:exe:wpaper:0106