Evolutionary Aspects of Belief Strategy

Manoj Kumar () and A. J. Shaiju ()
Additional contact information
Manoj Kumar: Indian Institute of Technology Madras
A. J. Shaiju: Indian Institute of Technology Madras

SN Operations Research Forum, 2025, vol. 6, issue 1, 1-26

Abstract: Abstract Dempster-Shafer evidence theory is one of many scientific fields where the evolutionary game theory finds applications. An extension of the mixed strategy of population games—belief strategy—is based on the idea of belief function or mass function in the evidence theory. Additionally, the non-empty subsets of the population game’s strategy set are designated as propositions or strategies of the associated Jaccard matrix game (JMG), and their evolutionary aspects are described using replicator dynamics. In this article, we establish, particularly in the case of two strategies, that if for some uncertainty parameter, there is full belief in some proposition, then the corresponding mass function is an ESS of the JMG. The idea of the best-supported evidence, or best-supported belief-based ESS, based on the convergence time of solution trajectories of the replicator system associated with JMG, is investigated. The belief or mass function corresponding to several values of uncertainty parameter/parameters are taken as initial evidence. We have demonstrated numerically, using examples, that each solution trajectory of this replicator system converges to ESS of JMG, if we can not believe a proposition fully under a given uncertain environment.

Keywords: Evolutionary game theory; Evidence theory; Uncertainty; Belief-based ESS; Replicator dynamics; Best-supported evidence; 91A22; 92D25; 91A80; 91A35; 91B06 (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s43069-024-00402-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:snopef:v:6:y:2025:i:1:d:10.1007_s43069-024-00402-z

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/43069

DOI: 10.1007/s43069-024-00402-z

Access Statistics for this article

SN Operations Research Forum is currently edited by Marco Lübbecke

More articles in SN Operations Research Forum from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().