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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Real Economics Publishing House
2018
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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) |
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institutions rules game theory payoff transposition matrix parametric management Risk in industry. Risk management HD61 |
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institutions rules game theory payoff transposition matrix parametric management Risk in industry. Risk management HD61 A. Yu. Obydenov MATHEMATICAL FORMALIZATION OF INSTITUTIONS |
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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 |
_version_ |
1718420208637444096 |