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Studying interval valued matrix games with fuzzy logic

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Abstract

Matrix games have been widely used in decision making systems. In practice, for the same strategies players take, the corresponding payoffs may be within certain ranges rather than exact values. To model such uncertainty in matrix games, we consider interval-valued game matrices in this paper; and extend the results of classical strictly determined matrix games to fuzzily determined interval matrix games. Finally, we give an initial investigation into mixed strategies for such games.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Hendrix College, Conway, AR, 72032, USA

    W. Dwayne Collins

  2. Computer Science Department, University of Central Arkansas, Conway, AR, 72035, USA

    Chenyi Hu

Authors
  1. W. Dwayne Collins
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  2. Chenyi Hu
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Corresponding author

Correspondence to W. Dwayne Collins.

Additional information

This work is partially supported by the NSF grant CCF-0202042.

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Dwayne Collins, W., Hu, C. Studying interval valued matrix games with fuzzy logic. Soft Comput 12, 147–155 (2008). https://doi.org/10.1007/s00500-007-0207-6

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  • DOI: https://doi.org/10.1007/s00500-007-0207-6

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