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Fuzzy n-person cooperative games

  • Ichiro Nishizaki
  • Masatoshi Sakawa
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 64)

Abstract

We will examine n-person cooperative games under fuzzy environments in this chapter. In noncooperative games, there is not much difference between twoperson games and n-person games. However, in cooperative games, coalitions are organized by group agreement among some or all of the players and many coalitions are possible in the n-person case, while there is only one possible coalition in the two-person case. Thus, the n-person case is mainly treated for analysis of cooperative games. For conventional n-person cooperative games, a coalition is defined as any nonempty subset of the set of all players, making the number of possible coalitions at most 2n — 1, which includes one-person coalitions. Any player participating in a coalition must accept completely the decisions of the coalition; that is, a coalition behaves like an individual decision maker.

Keywords

Membership Function Fuzzy Number Linear Programming Problem Cooperative Game Grand Coalition 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Ichiro Nishizaki
    • 1
  • Masatoshi Sakawa
    • 1
  1. 1.Department of Industrial and Systems Engineering, Faculty of EngineeringHiroshima UniversityHigashi-HiroshimaJapan

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