Abstract
since childhood, we know (and not only from pirate movies and stories) that nothing is trickier than dividing money. In the world around us, both individuals and organizations practice it every day. Cooperative game theory provides a scientific approach to the problem of fair dividing of a given sum. In this paper, I
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References
Aumann R. J., Maschler M.: Game theoretic analysis of a bankruptcy problem from the Talmud,J. Econom. Theory 36 (1985), no. 2, 195–213.
Kalugina T. F., Kiselev V. Yu.:Operations research. Game theory. ISPU, Ivanovo, 2003(in Russian).
Lenin V. I.: The serf rural economy, in:Complete works, 5th ed.,25, Moscow, 1963, 90–92 (in Russian).
Moulin H.:Axioms of cooperative decision making. Cambridge University, Cambridge, 1988.
Shapley L. S.: A value forn-person games, in: Contribution to the Theory of Games II,Annals of mathematics studies 28, Princeton University Press, Princeton, NJ, 1953, 307–317.
Soboľev A. I.: Characterization of optimality principles in cooperative games by means of functional equations, in:Mathematical methods in social sciences, Vilnius,6 (1975), 92–151 (in Russian).
Struve P.B., ed.:Russian Thought. Moscow, St. Petersburg, 1914,III, 10–14 (in Russian).
Twelfth census of the United States, taken in the year 1900,V: Agriculture. Washington, DC, United States Census Office, 1902;Thirteenth census of the United States, taken in the year 1910,V: Agriculture. Washington, DC, U.S. Government Printing Office, 1913.
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Kiselev, V.Y. Cooperative games: historical problems, modern theory. The Mathematical Intelligencer 27, 33–40 (2005). https://doi.org/10.1007/BF02985836
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DOI: https://doi.org/10.1007/BF02985836