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We analyze this complicated framework from a theoretical point of view and identify sufficient conditions that make it numerically tractable via a novel, specifically tailored algorithm, whose convergence properties are studied. Numerical testing on real-world data confirms the theoretical insights and shows that our model can be solved even when dealing with considerable problem sizes.\n<\/jats:p>","DOI":"10.1007\/s10287-023-00458-y","type":"journal-article","created":{"date-parts":[[2023,5,15]],"date-time":"2023-05-15T14:25:02Z","timestamp":1684160702000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["A bilevel approach to ESG multi-portfolio selection"],"prefix":"10.1007","volume":"20","author":[{"given":"Francesco","family":"Cesarone","sequence":"first","affiliation":[]},{"given":"Lorenzo","family":"Lampariello","sequence":"additional","affiliation":[]},{"given":"Davide","family":"Merolla","sequence":"additional","affiliation":[]},{"given":"Jacopo Maria","family":"Ricci","sequence":"additional","affiliation":[]},{"given":"Simone","family":"Sagratella","sequence":"additional","affiliation":[]},{"given":"Valerio Giuseppe","family":"Sasso","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,15]]},"reference":[{"issue":"1","key":"458_CR1","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s00186-016-0565-x","volume":"85","author":"D Aussel","year":"2017","unstructured":"Aussel D, Sagratella S (2017) Sufficient conditions to compute any solution of a quasivariational inequality via a variational inequality. 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