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Connectedness of the efficient set in strictly quasiconcave vector maximization

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Abstract

In this paper, the concepts of quasiconcave set and strictly quasiconcave set are introduced. By using these concepts, we get a new sufficient condition for the efficient outcome set to be connected. This leads to the connectedness of the efficient solution set in strictly quasiconcave vector maximization under the mild condition that the efficient frontier is closed.

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Authors and Affiliations

  1. Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, China

    Y. D. Hu (Professor) & E. J. Sun (Graduate Student)

Authors
  1. Y. D. Hu
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  2. E. J. Sun
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Additional information

Communicated by P. L. Yu

The authors would like to thank Professor E. U. Choo and the referees for their many valuable comments and helpful suggestions.

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Hu, Y.D., Sun, E.J. Connectedness of the efficient set in strictly quasiconcave vector maximization. J Optim Theory Appl 78, 613–622 (1993). https://doi.org/10.1007/BF00939886

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  • DOI: https://doi.org/10.1007/BF00939886

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