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Connectedness of the efficient set in strictly quasiconcave vector maximization
Authors:Y D Hu  E J Sun
Institution:(1) Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, China
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.The authors would like to thank Professor E. U. Choo and the referees for their many valuable comments and helpful suggestions.
Keywords:Vector maximization  strictly quasiconcave sets  connectedness
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