Methods and models in economy
Zhukovskaya L.V. Formal and systemic mechanisms for implementing the idea of balancing economic, social and legal macro-systems
Recognition of images
General systems theory
Scientometrics and management science
Optimization, identification, the theory of games
Cognitive technology
Zhukovskaya L.V. Formal and systemic mechanisms for implementing the idea of balancing economic, social and legal macro-systems

Abstract.

In the research new approaches to modeling of processes of acceptance of strategic decisions with use of theoretical-game toolkit which are based on possible increase in outcomes at simultaneous reduction of the risk connected with them (on Savage) are considered and allow to construct the guaranteed decisions and risks and to investigate features of balance on Berge. In order to identify the features of the Berger equilibrium, in particular, stability and nonperfection, the article formalizes the Pareto-Guaranteed Berge solution and proves the theorem of the existence of such a solution in mixed strategies, as well as its properties. The article presents the results of structural analysis of interaction and mutual influence of economic, legal and social macro-systems and offers theoretical and game models that contribute to the implementation of constitutionally established norms, the requirements of which define Russia as a social state. Thus, when making strategic decisions in the social sphere, the concept of the Golden rule of morality is proposed as the main economic doctrine, instead of the currently used neoliberal approach, based on the concept of equilibrium on Nash.

Keywords:

macrosystem, Berge equilibrium, Nash equilibrium, uncertainty, risk, social guarantees, population

PP. 28-41.

DOI: 10.14357/20790279190303

References

1. Aristov Е.V. 2016. Pravovaya paradigma sotsial’nogo gosudarstva : monografiya. [Legal paradigm of the social state: monograph]. М. Unity Dana. 367 с.
2. Huseynov A.A., Zhukovskiy V.I., Kudryavtsev K.N. 2016. Matematicheskiye osnovy Zolotogo pravila nravstvennosti : Teoriya novogo al’truisticheskogo uravnoveshivaniya konfliktov v protivopolozhnost’ «egoistichnomu» ravnovesiyu po Neshu. [Mathematical bases of the Golden rule of morality: The theory of new altruistic balance of conflicts in contrast to the “selfish” equilibrium according to Nash]. М. Lenand. 280 с.
3. Nash J. 1950. Ravnovesnyye tochki v igre n lits [Equilibrium points in N-person game] / per. s ang. (Nash J. F. Equilibrium points in N-person game). // Nat. Academ. Sci. USA. V. 36. Pp. 48–49.
4. Nash J.F. 1950. Equilibrium Points in N-Person Games // Proc. Nat. Acad. Sci. USA. 36. P. 48–49.
5. Nash J.F. 1951. Non-Cooperative Games // Ann. of Math. 54. P. 286–295.
6. Nash J.F. 1950. The Bargaining Problem // Econometrica. 18. P. 155–162.
7. Nash J.F. 1953. Two Person Cooperative Games // Econometrica. 21. P. 128–140.
8. Lefevre V.A. 2003. Conflict structures. Reflexion. М. Kogito-Center. P. 95-107, Chapter VII “Objects as Systems”.
9. Berge K. 1961. Obshchaya teoriya igr neskol’kikh lits [General theory of games of several persons] / per. s fr. V. Solovyov; under edition of V. V. F. Kolchina. М. Fizmatgiz. 126 с.
10. Berge C. 1954. Sur une Convexite Reguliere et ses Applications a la Theorie des Jeux // Bull. Soc. Math. France. Vol. 81. P. 301–315.
11. Zhukovskiy V.I., Zhukovskaya L.V. 2003. Risk v mnogokriterial’nykh i konfliktnykh sistemakh pri neopredelennosti [Risk in multi-criteria and conflict systems under uncertainty]. М. USS: LKI. 270 с.
12. Germeyer Yu.B. 1976. Games with opposing interests. [Y.B. Germeyyer. Igry s protivopolozhnymi interesami] M.: Science. 328 p.
13. Borel E. 1921. La Theorie du Jeu et les Equations Integrales a Noyau Symetrique // Comptes Rendus de L’Academie des Sciences. 173. P. 1304–1308.
14. Borel E. 1927. Sur le Systeme de Formes Lineaires et la Theorie des Jeux // Compte Rendue de L’Academie des Science. 184. P. 52–54.
15. Borel E. 1924. Sur les Jeux ou le Hasard se Combine avec L’Habilite Joueurs // Compte Rendue de L’Academie des Science. 178. P. 24–25.
16. Borel E. 1938. Traite du Calcul des Probabilites et ses Applications. Paris : Edition Gauthier Villars, T. 4, fasc. 2. Applications aux Jeux de Hasard. 122 p.
17. Glicksberg L. 1952. A further generalization of Kakutani`s fixed point theorem with application to Nash equilibrium point. // Proceedings of the American Mathematical Society. Vol. 3. No. 1. P. 170–174.
18. Zhukovskiy V.I., Kudryavtsev K.N. 2013. Balancing conflicts with uncertainty. I. Analogue of saddle point [Uravnoveshivaniye konfliktov pri neopredelennosti. I. Analog sedlovoy tochki] // Mathematical theory of games and its applications. Т. 5. V. 1. С. 27-44.
19. Zhukovskiy V.I., Kudryavtsev K.N. 2013. Balancing conflicts with uncertainty. II. Analogue of Maximin [Uravnoveshivaniye konfliktov pri neopredelennosti. II. Analog maksimina] // Mathematical theory of games and its applications. Т. 5. V. 2. С. 3-45.
20. Livshits V.N., Livshits S.V. 2008. Macroeconomic theories, real investments and Russian state economic policy. [Makroekonomicheskiye teorii, real’nyye investitsii i gosudarstvennaya rossiyskaya ekonomicheskaya politika.] М. LKI. 248 с.
21. Livshits V.N. 2018. Poverty and inequality of monetary incomes of the population in Russia and abroad: a systematic analysis of some important fragments of the problem: monograph. [Bednost’ i neravenstvo denezhnykh dokhodov naseleniya v Rossii i za rubezhom: sistemnyy analiz nekotorykh vazhnykh fragmentov problemy : monografiya] M. : Institute of Economics of the Russian Academy of Sciences. 292 с.
 

 

2024-74-1
2023-73-4
2023-73-3
2023-73-2

© ФИЦ ИУ РАН 2008-2018. Создание сайта "РосИнтернет технологии".