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E-games: a very short introduction
Contributions to game theory and management, Tome 17 (2024), pp. 164-172 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Dirichlet's Unit Theorem describes the structure of the group of units as follows: let K be an algebraic number field with $r_1$ real and $2r_2$ complex embeddings and ring of integers $O_K$ . Then the group of units of $O_K$ is equal to the direct product of the finite cyclic group E(K) of roots of unity contained in K and a free abelian group of rank $r: = r_1+ r_2 - 1$. Dirichlet's E-symbol ("container" of the numbers of a special type) became the object of Nikolai Bugaev's mathematical dissertation.Bugaev and his followers of Moscow's Philosophical Mathematical School have attempted to develop a sort of E-games which we define today as noncooperative signaling games in post-Quantum perspective. Our very short introduction in E-games describes historical circumstances and the reasons for introduction of E-games in post-quantum game theory. Fundamental Riemann problem and ABC conjecture in Number theory are considered also as an examples of E-game, hence, game-theoretical approach in Number theory is firstly justified.
Keywords: acausality, Moscow's Philosophico-Mathematical School, penny-flip game, $2+1$ players game, quantum leadership, E-game, signaling game, Riemann problem
Mots-clés : Schopenhauer, Bugaev, ABC conjecture. 
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Michael A. Popov. E-games: a very short introduction. Contributions to game theory and management, Tome 17 (2024), pp. 164-172. http://geodesic.mathdoc.fr/item/CGTM_2024_17_a14/

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