META-GAME THEORETIC ANALYSIS OF SOME STANDARD GAME THEORETIC PROBLEMS
By
Swati Singh1, Dayal Pyari Srivastava2 and C. Patvardhan3
1,2Department of Physics and Computer Science
3Department of Electrical Engineering
Dayalbagh Educational Institute, Agra, Uttar Pradesh, India-282005
Email: swati121302@dei.ac.in, dayalpyari810@gmail.com, cpatvardhan@dei.ac.in
(Received: September 30, 2022; In Format: September 07, 2022; Revised: October 07, 2022; Accepted: February 12, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53108
Abstract
Meta game theory is a non-quantitative reconstruction of mathematical game theory. This paper attempts to adapt meta-game theory for conflict analysis. A conflict is a situation where parties with opposing goals affect one another. A simple approach for performing meta-game analysis is adapted in this paper and illustrated on various games standard in game theory literature. The approach presented yields the desired results, although the computation required is much lesser than the standard Game theory analysis. Even a person without detailed knowledge about meta game analysis or game theory can implement this method.
2020 Mathematical Sciences Classification: 91A40.
Keywords and Phrases: Stability analysis, Unilateral improvement (UI ), Preference vectors.