MATHEMATICAL FORMALIZATION OF INSTITUTIONS

The article proposes the way of mathematical formalization of institutions in the framework of game-theory approach. The rules are represented by transpositions of payoffs in payment matrix. Such the transitions call the change the structure of game equilibriums. This approach allows separation of c...

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Autor principal: A. Yu. Obydenov
Formato: article
Lenguaje:RU
Publicado: Real Economics Publishing House 2018
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Acceso en línea:https://doaj.org/article/9ca094156c6746649729dd35de245dda
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spelling oai:doaj.org-article:9ca094156c6746649729dd35de245dda2021-11-19T10:42:00ZMATHEMATICAL FORMALIZATION OF INSTITUTIONS2618-947X2618-998410.17747/2078-8886-2018-4-54-57https://doaj.org/article/9ca094156c6746649729dd35de245dda2018-12-01T00:00:00Zhttps://www.jsdrm.ru/jour/article/view/800https://doaj.org/toc/2618-947Xhttps://doaj.org/toc/2618-9984The article proposes the way of mathematical formalization of institutions in the framework of game-theory approach. The rules are represented by transpositions of payoffs in payment matrix. Such the transitions call the change the structure of game equilibriums. This approach allows separation of coordination and distribution aspects of institutions, division institutions into classes and distinguishing aggregateс of institutions, which produce identical transformation. Through evolutionary game theory formalism it is shown that such parametric management influences the structure of steady states, what allows investigation of institutions’ influence on self-organization, in particular, through transformation of topology of phase portrait of the system. In accordance with the fact that dynamic with multiple steady states is typical for coordination problem as a whole, an approach suggested of the rules formalization appears to have rather broad application.A. Yu. ObydenovReal Economics Publishing House articleinstitutionsrulesgame theorypayoff transpositionmatrixparametric managementRisk in industry. Risk managementHD61RU Strategičeskie Rešeniâ i Risk-Menedžment, Vol 0, Iss 4, Pp 54-57 (2018)
institution DOAJ
collection DOAJ
language RU
topic institutions
rules
game theory
payoff transposition
matrix
parametric management
Risk in industry. Risk management
HD61
spellingShingle institutions
rules
game theory
payoff transposition
matrix
parametric management
Risk in industry. Risk management
HD61
A. Yu. Obydenov
MATHEMATICAL FORMALIZATION OF INSTITUTIONS
description The article proposes the way of mathematical formalization of institutions in the framework of game-theory approach. The rules are represented by transpositions of payoffs in payment matrix. Such the transitions call the change the structure of game equilibriums. This approach allows separation of coordination and distribution aspects of institutions, division institutions into classes and distinguishing aggregateс of institutions, which produce identical transformation. Through evolutionary game theory formalism it is shown that such parametric management influences the structure of steady states, what allows investigation of institutions’ influence on self-organization, in particular, through transformation of topology of phase portrait of the system. In accordance with the fact that dynamic with multiple steady states is typical for coordination problem as a whole, an approach suggested of the rules formalization appears to have rather broad application.
format article
author A. Yu. Obydenov
author_facet A. Yu. Obydenov
author_sort A. Yu. Obydenov
title MATHEMATICAL FORMALIZATION OF INSTITUTIONS
title_short MATHEMATICAL FORMALIZATION OF INSTITUTIONS
title_full MATHEMATICAL FORMALIZATION OF INSTITUTIONS
title_fullStr MATHEMATICAL FORMALIZATION OF INSTITUTIONS
title_full_unstemmed MATHEMATICAL FORMALIZATION OF INSTITUTIONS
title_sort mathematical formalization of institutions
publisher Real Economics Publishing House
publishDate 2018
url https://doaj.org/article/9ca094156c6746649729dd35de245dda
work_keys_str_mv AT ayuobydenov mathematicalformalizationofinstitutions
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