The Well-Posedness for Multiobjective Generalized Games

J. W. Peng () and S. Y. Wu
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J. W. Peng: Chongqing Normal University
S. Y. Wu: National Cheng Kung University

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 2, No 13, 416-423

Abstract: Abstract In this paper, the new notions of the generalized Tykhonov well-posedness for multiobjective generalized games are investigated. By using the gap functions of the multiobjective generalized games, we establish the equivalent relationship between the generalized Tykhonov well-posedness of the multiobjective generalized games and that of the minimization problems. Some metric characterizations for the generalized Tykhonov well-posedness of the multiobjective generalized games are also presented.

Keywords: Multiobjective generalized game; Generalized Tykhonov well-posedness; Asymptotically weak Pareto–Nash equilibrium sequence; Gap function; Metric characterization (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9839-x

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