Robust Ekeland variational principles. Application to the formation and stability of partnerships

This paper has two parts. The mathematical part provides generalized versions of the robust Ekeland variational principle in terms of set-valued EVP with variable preferences, uncertain parameters and changing weights given to vectorial perturbation functions. The behavioural part that motivates our...

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Published inOptimization Vol. 72; no. 1; pp. 215 - 239
Main Authors Fakhar, M., Khodakhah, M. R., Soubeyran, A., Zafarani, J.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.01.2023
Taylor & Francis LLC
Subjects
Depletion
Economics and Finance
ego depletion
goal gradient hypothesis
Humanities and Social Sciences
Parameter uncertainty
Partnerships
Perturbation
Psychological effects
Robust Ekeland variational principle
Robustness (mathematics)
Stability
variable preferences
Variational principles
variational rationality
goal gradient hypothesis
Robust Ekeland variational principle
variable preferences
variational rationality
ego depletion
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Summary:This paper has two parts. The mathematical part provides generalized versions of the robust Ekeland variational principle in terms of set-valued EVP with variable preferences, uncertain parameters and changing weights given to vectorial perturbation functions. The behavioural part that motivates our findings models the formation and stability of a partnership in a changing, uncertain and complex environment in the context of the variational rationality approach of stop, continue and go human dynamics. Our generalizations allow us to consider two very important psychological effects relative to ego depletion and goal gradient hypothesis.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2021.2009826