The Mathematical Intelligencer

, Volume 27, Issue 3, pp 33–40 | Cite as

Cooperative games: historical problems, modern theory

  • V. Yu. KiselevEmail author


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


Characteristic Function Cooperative Game Cooperative Game Theory Minimal Component Historical Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Aumann R. J., Maschler M.: Game theoretic analysis of a bankruptcy problem from the Talmud,J. Econom. Theory 36 (1985), no. 2, 195–213.CrossRefzbMATHMathSciNetGoogle Scholar
  2. [2]
    Kalugina T. F., Kiselev V. Yu.:Operations research. Game theory. ISPU, Ivanovo, 2003(in Russian).Google Scholar
  3. [3]
    Lenin V. I.: The serf rural economy, in:Complete works, 5th ed.,25, Moscow, 1963, 90–92 (in Russian).Google Scholar
  4. [4]
    Moulin H.:Axioms of cooperative decision making. Cambridge University, Cambridge, 1988.CrossRefzbMATHGoogle Scholar
  5. [5]
    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.Google Scholar
  6. [6]
    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).Google Scholar
  7. [7]
    Struve P.B., ed.:Russian Thought. Moscow, St. Petersburg, 1914,III, 10–14 (in Russian).Google Scholar
  8. [8]
    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.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of Higher MathematicsIvanovo State Power UniversityIvanovoRussia

Personalised recommendations