Game Theory and Law

  • Viktoriia VOVK

    Doctor of Law, Professor, Professor of the Department of Theory and History of State and Law of the Khmelnytsky University of Management and Law Named after Leonid Yuzkov

    Khmelnytskyi, Ukraine

    https://orcid.org/0000-0002-0588-2095
  • Andriy KRYSAK

    Assistant of the Department of Theory and History of State and Law of the Khmelnytsky University of Management and Law Named after Leonid Yuzkov

    Khmelnytskyi, Ukraine

    https://orcid.org/0009-0006-0867-9574

Abstract

Abstract. The article is devoted to the underexplored issue of applying the principles of game theory in law. It has been shown that there are currently few scholarly works in Ukrainian legal science devoted to the application of game theory in law. The context within which the stated topic is revealed is the recognition that play (in the broad sense) is ontologically rooted in anthropological reality and is derived from cultural experience, which manifests itself as a set of actions, consciousness, and communication, thereby performing a modeling function within social reality. It is argued that under the conditions of modern interdisciplinarity, it is entirely appropriate to borrow achievements from other fields of scientific knowledge to study complex issues of legal regulation (in particular, to examine law through the main principles of game theory in the logical sequence mathematics – economics – law). Although the problem of interdisciplinary methods in law is currently relevant, within Ukrainian jurisprudence game theory has not yet found widespread application. It is emphasized that the game-theoretic approach represents a promising method for analyzing legal relations, as game theory is useful to jurisprudence as a method of examining legal interactions. The game-theoretic approach explores real conflict situations by constructing models and then identifying patterns that constitute its predictive function. With the help of game theory, it is possible to describe a variety of situations in law. At present, there is no unified understanding within the scientific community of how game theory can be applied in law; therefore, there is still a limited number of studies devoted to identifying potential areas for the application of the game-theoretic approach. This article focuses on such types of games in law as cooperative/non-cooperative and zero-sum/non-zero-sum games. Considerable attention is paid to revealing the essence of the main structural components of a legal game (players – participants in legal relations; strategies – sets of permitted and prohibited actions; payoff – the final outcome) and their specific features.

 

Keywords: law; game theory; legal relations; behavior of legal subjects; players; payoff; convention; conflict; cooperation; agreement; contracts; plaintiff; defendant; claim; social contract; rationality.

Downloads

Download data is not yet available.

Author Biographies

Viktoriia VOVK

Doctor of Law, Professor, Professor of the Department of Theory and History of State and Law of the Khmelnytsky University of Management and Law Named after Leonid Yuzkov

Khmelnytskyi, Ukraine

Andriy KRYSAK

Assistant of the Department of Theory and History of State and Law of the Khmelnytsky University of Management and Law Named after Leonid Yuzkov

Khmelnytskyi, Ukraine

References

Baird, D., Gertner, R., & Piker, R. (1998). Game Theory and the Law. Cambridge, Mass.: Harvard University Press.

Baranovska, L.V. (2022). Game theory: a course of lectures. Kyiv: I. Sikorsky Kyiv Polytechnic Institute. Retrieved from https://ela.kpi.ua/handle/123456789/49092

Chernenko, N. (2022). Game Theory in Personnel Management. Tavria Scientific Bulletin, 14, 58-66. DOI: 10.32782/2708-0366/2022.14.8

Gábriš, T. (2025). Convention as a Tool of Coordination: R.G. Millikan's Theory and Game Theory. State and Law, 1, 28-47. DOI: 10.24040/sap.2025.12.1.28-47

Hobbs, T. (2025). Leviathan, or Matter, Form and Power of the Ecclesiastical and Civil State. Kyiv: Folio.

Kolomiiets, H.B. (2020). Application of game theory in taxation as a sphere of coordination of public and private interests. Bulletin of Khmelnytsky National University, 4(3), 202-205. DOI: 10.31891/2307-5740-2020-284-4(3)-37

Korniienko, V.O., Denisiuk, S.H., & Shyian, A.A. Theory of Cooperative Games. Retrieved from https://ir.lib.vntu.edu.ua/bitstream/handle/123456789/12182/%D0%A2%D0%B5%D0%BE%D1%80%D1%96%D1%8F%20%D0%BA%D0%BE%D0% BE%D0%BF%D0%B5%D1%80%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%B8%D1%85%20%D1%96%D0%B3%D0%BE%D1%80.pdf?sequence=1&isAllowed=y

Kornyliuk, R. (2015) Mind player John Nash: what he left to the world. Retrieved from https://mathematics.in.ua/en/stories/item/121-hravets-rozumu-dzhon-nesh-shcho-vin-zalyshyv-svitovi

Lipski, H.M., & Kovalenko, O.V. (2022). Game theory in modern research: current state and prospects. Odesa: Odessa National University.

Lok, Dzh. (2020). Two Treatises on Government. Kyiv: Our Format.

Maliarenko, T. (2009). Game Theory in Conflict Research. Regional Education, 4, 162-168.

Martišová, A. (2022). Mezinárodné environmentalné dohody z perspektive teórie hier. Mendelova Univerzita v Brno.

Russo, Zh.-Zh. (2001). On the social contract, or the principles of political law. Kyiv.

Slushna, N.V. (2021). Game and decision-making. Computer games and multimedia as an innovative approach to communication: materials of the I All-Ukrainian Scientific and Technical Conference (pp. 25-26). Odesa: ONAHT.

Tyshchenko, O.I., & Soloviov, I.M. (2021). Modeling conflicts in game theory. Dnipro: Prydnipro. un-t.

Vithenshtein, L. Philosophical Studies. Retrieved from http://www.philsci.univ.kiev.ua/biblio/vitgen.html

Vitková, Z. (2025). Teória hier says that the trip is more beneficial, but fortunately, people are not cold-blooded rationalists, vraví vedkyňa. Retrieved from https://dennikn.sk/4900871/teoria-hier-hovori-ze-podraz-je-vyhodnejsi-no-ludia-nastastie-nie-su-chladnokrvne-racionalni-vravi-vedkyna/

Von Neumann, J. (1953). Theory of Social Games. Kurt Gödel on Formalism and Intuitionism (pp. 49-59). A.W. Tucker, R.D. Luce (Ed.). Princeton: Princeton University Press

Walker, P. (2017). A Chronology of Game Theory. Retrieved from https://competitionanda ppropriation.econ.ucla.edu/wpcontent/uploads/sites/95/2017/08/HistoryGameTheory.pdf

Yudin, Z.M. (2017). Game theory of the contract: some theoretical considerations. Precarpathian Legal Bulletin, 1(16), 8-13.

Zubar, V.M., & Kifak, A.O. (2023). Some aspects of the application of game theory in law. Legal position, 2(39), 211-214. DOI: 10.32782/2521-6473.2023-2.42


Abstract views: 0
PDF Downloads: 0
Published
2025-12-26
Section
Philosophy and philosophy of law