Infection and immunization: A new class of evolutionary game dynamics

Samuel Rota Bulò and Immanuel Bomze

Games and Economic Behavior, 2011, vol. 71, issue 1, 193-211

Abstract: Building upon a central paradigm of evolutionary game theory, namely the invasion barrier, we propose the new Infection and Immunization Dynamics (InfImmDyn), modelling a plausible adaptation process in a large population. For general games, this yields a novel refinement of the Nash equilibrium concept based on dynamical arguments, close in spirit to Nash's original "mass action" idea in his Ph.D. thesis. For partnership games, InfImmDyn exhibits a better asymptotic behavior compared to other popular procedures like Fictitious Play and Replicator Dynamics. We establish even support separation of InfImmDyn in finite time, which can never be achieved by any interior-point method like those mentioned above. In fact, this property has not yet been established for any other evolutionary game dynamics.

Keywords: Revision; protocol; Evolutionary; stability; Equilibrium; selection; Fictitious; play; Replicator; dynamics; Best; response; Learning; population; games (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0899-8256(10)00103-X
Full text for ScienceDirect subscribers only

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:eee:gamebe:v:71:y:2011:i:1:p:193-211

Access Statistics for this article

Games and Economic Behavior is currently edited by E. Kalai

More articles in Games and Economic Behavior from Elsevier
Bibliographic data for series maintained by Catherine Liu ().