Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2016 (2016), Article ID 9734615, 5 pages
http://dx.doi.org/10.1155/2016/9734615
Research Article

On the Usefulness of Cooperation in Person Games

1Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina Str. 8, Moscow 119991, Russia
2Department of Mathematics and Computer Science, Faculty of Sciences, Abdou Moumouni University, BP 10662, Niamey, Niger

Received 28 June 2016; Revised 11 September 2016; Accepted 26 September 2016

Academic Editor: Bo Yu

Copyright © 2016 Mikhail Sergeevich Nikolskii and Aboubacar Moussa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. von Neumann and O. Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, NJ, USA, 1953.
  2. L. A. Petrosjan and N. A. Zenkevich, Game Theory, World Scientific, River Edge, NJ, USA, 2nd edition, 2016.
  3. G. Owen, Game Theory, Emerald Group Publishing Limited, Bingley, UK, 4th edition, 2013. View at MathSciNet
  4. M. S. Nikolskii and M. Aboubacar, “On the benefit of cooperation in two-person games,” Mathematical Education, vol. 71, no. 3, pp. 34–40, 2014 (Russian). View at Google Scholar
  5. M. S. Nikolskii and M. Aboubacar, “On the benefit of cooperation in three-person games,” Proceedings of the Steklov Institute of Mathematics, vol. 293, supplement 1, pp. 148–155, 2016. View at Publisher · View at Google Scholar
  6. J. F. Nash, “The bargaining problem,” Econometrica, vol. 18, pp. 155–162, 1950. View at Publisher · View at Google Scholar · View at MathSciNet
  7. S. Hart and A. Mas-Colell, “Bargaining and cooperation in strategic form games,” Journal of the European Economic Association, vol. 8, no. 1, pp. 7–33, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Okada, “The possibility of cooperation in an n-person prisoners' dilemma with institutional arrangements,” Public Choice, vol. 77, no. 3, pp. 629–656, 1993. View at Publisher · View at Google Scholar · View at Scopus
  9. H. W. Stuart, “Cooperative games and business strategy,” in Game Theory and Business Applications, K. Chatterjee and W. F. Samuelson, Eds., pp. 189–211, Kluwer Academic, Boston, Mass, USA, 2001. View at Google Scholar
  10. V. I. Zhukovskii, Cooperative Games under Uncertainty and Their Applications, URSS, Moscow, Russia, 2nd edition, 2010 (Russian).
  11. T. Bonnesen and W. Fenchel, Theory of Convex Bodies, BCS Associates, Moscow, Russia, 1987, (Translated from German).
  12. R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, USA, 1970. View at MathSciNet