Solving bimatrix games with fuzzy payoffs by introducing Nature as a third player

  • Authors:
  • Moussa Larbani

  • Affiliations:
  • Department of Business Administration, Kianan University, No. 1, Kainan Road, Luchu, Taoyuan County 33857, Taiwan and Department of Business Administration, Faculty of Economics and Management Sci ...

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2009

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Abstract

The paper elaborates on the fuzzy bimatrix games. The payoffs are assumed to be fuzzy intervals with bounded support as defined by Dubois and Prade. A new equilibrium concept is defined for this game by introducing 'Nature' as a third player and using @a-cuts. Sufficient conditions for its existence and a procedure for its computation are provided.