On the Concept of Equilibrium in Sanctions and Countersanctions in a Differential Game

Vladislav I. Zhukovskiy and Lidiya V. Zhukovskaya ()
Additional contact information
Vladislav I. Zhukovskiy: Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow 119991, Russia
Lidiya V. Zhukovskaya: Central Economics and Mathematics, Institute Russian Academy of Sciences, Moscow 117418, Russia

Mathematics, 2023, vol. 11, issue 20, 1-22

Abstract: This paper develops the methodology for modeling decision processes in complex controlled dynamic systems. The idea of balancing such systems (driving them to equilibrium) is implemented, and a new mechanism for the equilibria’s stability is proposed. Such an approach involves economic–mathematical modeling jointly with systems analysis methods, economics, law, sociology, game theory, management, and performance measurement. A linear-quadratic positional differential game of several players is considered. Coefficient criteria under which the game has an equilibrium in sanctions and countersanctions and, simultaneously, no Nash equilibrium are derived. The economic and legal model of active equilibrium is studied through the legal concept of sanctions, which enlarges the practical application of this class of problems.

Keywords: sanctions; countersanctions; balance of sanctions and countersanctions; active equilibriums; stability; efficiency; Pareto maximum (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/20/4402/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/20/4402/ (text/html)

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:gam:jmathe:v:11:y:2023:i:20:p:4402-:d:1265654

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().