Variational Analysis in Cone Pseudo-Quasimetric Spaces and Applications to Group Dynamics

Truong Q. Bao () and Antoine Soubeyran
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Truong Q. Bao: Northern Michigan University

Journal of Optimization Theory and Applications, 2016, vol. 170, issue 2, No 7, 458-475

Abstract: Abstract In this paper, we generalize Ekeland’s variational principle in the new context of cone pseudo-quasimetric spaces. We propose this extension for applications to group dynamics in behavioral sciences. In this setting, a cone pseudo-quasimetric helps to model, in a crude way, multidimensional aspects of resistance to change for a group, where each component represents resistance to change of one agent in the group. At the behavioral level, our new version of Ekeland’s variational principle shows how a group, forming and breaking routines each period by balancing between motivations and resistances to change of all members, can improve step by step their payoffs to end in a trap worthwhile to approach and reach, but not worthwhile to leave.

Keywords: Multiobjective optimization; Variational principles; Variational rationality; Pseudo-quasimetric; Cone pseudo-quasimetric; Group dynamics (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-016-0933-y

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