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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2022 Volume 14, Issue 2, Pages 51–63 (Mi mgta301)

Game-theoretic approach in law

Elizaveta Y. Martyanova

Perm State University

Abstract: The article is devoted to the study of the possible application of game theory for the purposes of lawmaking and law enforcement. The purpose of the study is to identify the conditions and limits of the application of the game theory to situations with legal content. It is proved that the legal behavior of the subject can be evaluated through the prism of the axiom of completeness, transitivity, continuity, substitution and independence, and the result can be used in determining the criterion of "rationality of behavior", when fixing the presence or absence of signs of unfair behavior, abuse of law. The author comes to the conclusion that the incompleteness of the legal theory of games, which is expressed in the limited situations to which it can be applied, does not detract from its significance as an analytical tool, the results of which should be interpreted taking into account other methods of analyzing legal matter and situations of legal content.

Keywords: game theory, law, economic analysis of law, mathematical expectation.

UDC: 519.813:303.7
BBK: 22.185.1

Received: 09.11.2021
Revised: 31.01.2022
Accepted: 16.05.2022



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© Steklov Math. Inst. of RAS, 2026