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

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

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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.

Date: 2016-08
Note: View the original document on HAL open archive server: https://amu.hal.science/hal-01690179
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Published in Journal of Optimization Theory and Applications, 2016, 170 (2), pp.458 - 475. ⟨10.1007/s10957-016-0933-y⟩

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Journal Article: Variational Analysis in Cone Pseudo-Quasimetric Spaces and Applications to Group Dynamics (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01690179

DOI: 10.1007/s10957-016-0933-y

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