An approach for obtaining bargaining set in multi-choice games

  • Authors:
  • Tianwen Li;Feng Ma;Weiyi Liu

  • Affiliations:
  • School of Information Science and Engineering, Yunnan University, Kunming, China,School of Science, Kunming University of Science and Technology, Kunming, China;School of Information Science and Engineering, Yunnan University, Kunming, China,Information school, Yunnan University of Finance and Economics, Kunming, China;School of Information Science and Engineering, Yunnan University, Kunming, China

  • Venue:
  • IUKM'13 Proceedings of the 2013 international conference on Integrated Uncertainty in Knowledge Modelling and Decision Making
  • Year:
  • 2013

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Abstract

In the field about the intersection of game theory and decision making, it is a hot concern how to obtain stable payoff vectors. In this paper, we first extend the solution of bargaining set in classical cooperative game to multi-choice games with coalition structure. The extended bargaining set is a generalization of the classical bargaining set. Then we give an approach to find a stable payoff vector belonging to the extended bargaining set, based on genetic algorithm. Finally, we give some experiments to find a stable payoff vector by our proposed algorithm and evaluate the finding algorithm.