Siberian Federal University

Issue

Journal of Siberian Federal University. Engineering & Technologies. 2021 14 (2)

Authors

Skornyakova, Ekaterina S.; Lichargin, Dmitry V.; Polunian, Pavel V.

Contact information

Skornyakova, Ekaterina S.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Lichargin, Dmitry V.: Siberian Federal University Krasnoyarsk, Russian Federation; Information Estimation Institute Krasnoyarsk, Russian Federation; Polunian, Pavel V.: Siberian Federal University Krasnoyarsk, Russian Federation; Information Estimation Institute Krasnoyarsk, Russian Federation

Keywords

game theory; graph theory; trans-tree; trans-forest; generative grammar

Abstract

The paper introduces a new concept – trans-forest. A forest is a complex of additional connected trees. The skeleton of the graph is the basic multi-hierarchy. Subjects and “forces” are sources of moves on the playing field of the trans-forest based on the rules of the generative grammars of Montague. Each move of all generative grammars is synchronized with the meta-generative grammar – the “daemon of time”. Each turn over a trans-forest can be done by moving the present marker on the time tree to the “Next” position. Particular attention is paid to the format tree and trans-connections between trees and its levels, since it is the format tree that determines human behavior in certain situations. An algorithm of evolutionarily justified expansions is proposed, the purpose of which is to ensure well-being for the subject himself and other subjects. The proposed trans-forest model is intended for modeling educational, language IT marketing, geological and other situations from the point of view of graph theory and game theory

Pages

252-259

DOI

10.17516/1999-494X-0306

Paper at repository of SibFU

https://elib.sfu-kras.ru/handle/2311/139971

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).