Evolutionary Stability of Polymorphic Profiles in Asymmetric Games
Aradhana Narang () and
A. J. Shaiju
Additional contact information
Aradhana Narang: Indian Institute of Technology Madras
A. J. Shaiju: Indian Institute of Technology Madras
Dynamic Games and Applications, 2019, vol. 9, issue 4, No 12, 1126-1142
Abstract Mendoza-Palacios and Hernández-Lerma (J Differ Equ 259(11):5709–5733, 2015) have introduced the concept of a strong uninvadable profile for asymmetric games with continuous pure strategy space and proved that such a profile is Lyapunov stable for the associated replicator dynamics when the profile is monomorphic. In the present paper, we establish that a polymorphic strong uninvadable profile is necessarily monomorphic. Further, it is shown that strong unbeatability is enough to guarantee Lyapunov stability of polymorphic profiles. A stability theorem for sets of polymorphic profiles is also presented and is illustrated using examples.
Keywords: Asymmetric evolutionary games; Replicator dynamics; Games with continuous strategy space; Uninvadable profiles and sets; Lyapunov and asymptotic stability; 91A22; 91A10; 34A34; 34G20; 34D20; 34D05; 92D25 (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
http://link.springer.com/10.1007/s13235-019-00302-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:spr:dyngam:v:9:y:2019:i:4:d:10.1007_s13235-019-00302-6
Ordering information: This journal article can be ordered from
Access Statistics for this article
Dynamic Games and Applications is currently edited by Georges Zaccour
More articles in Dynamic Games and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla ().