Mathematical Methods of Operations Research

, Volume 57, Issue 3, pp 495–511

Semiproportional values for TU games

  • Anna B. Khmelnitskaya
  • Theo S. H. Driessen
Original articles

Abstract.

The goal of the paper is to introduce a family of values for transferable utility cooperative games that are proportional for two-person games and as well satisfying some combinatorial structure composed by contributions of complementary coalitions or, to less extent, marginal contributions by players.

Key words: cooperative TU game, value, proportional sharing, probabilistic model 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Anna B. Khmelnitskaya
    • 1
  • Theo S. H. Driessen
    • 2
  1. 1.SPb Institute for Economics and Mathematics Russian Academy of Sciences, 1 Tchaikovsky St., 191187 St. Petersburg, Russia (e-mail: anna@AK3141.spb.edu)RU
  2. 2.Faculty of Mathematical Sciences, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands (e-mail: t.s.h.driessen@math.utwente.nl)NL

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