New non-radial models for horizontal and acquisition merger to achieve strong efficiency and MPSS without changing in the efficient frontier

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Abstract In this study, new models for the merger of two or more inefficient units are presented. The discussed mergers in this study are horizontal and acquisition mergers. In presented models, unlike the previously presented models, the mergers are done non-radially; indeed, managers can manage each of the indicators separately in the presented new merger process. In this regard, the efficient frontier of the production possibilities set does not change, and the merger of several units does not affect the efficiency score of other decision-making units. Also, by merging via the new models one can obtain a strong efficient unit with the most productive scale size. The presented models are applied to the horizontal and acquisition merger of Iranian banks.
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New non-radial models for horizontal and acquisition merger to achieve strong efficiency and MPSS without changing in the efficient frontier | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Method Article New non-radial models for horizontal and acquisition merger to achieve strong efficiency and MPSS without changing in the efficient frontier A.Reza Fakharzadeh, Hassan Rostamzadeh This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4353208/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this study, new models for the merger of two or more inefficient units are presented. The discussed mergers in this study are horizontal and acquisition mergers. In presented models, unlike the previously presented models, the mergers are done non-radially; indeed, managers can manage each of the indicators separately in the presented new merger process. In this regard, the efficient frontier of the production possibilities set does not change, and the merger of several units does not affect the efficiency score of other decision-making units. Also, by merging via the new models one can obtain a strong efficient unit with the most productive scale size. The presented models are applied to the horizontal and acquisition merger of Iranian banks. Merger Acquisition The most productive scale size The strongly efficient unit The efficient frontier Non-radial Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4353208","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Method Article","associatedPublications":[],"authors":[{"id":299215410,"identity":"ec05ab8a-9eb8-46ba-804f-30d9b29ad2ed","order_by":0,"name":"A.Reza Fakharzadeh","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABFklEQVRIiWNgGAWjYFACxgeMjQ1glgEzQwWYwYZEYgPMBkhazjAw8JCmhbENSQsuwN/AzPhx5g67fPn2wxsfF86rS9zP3vzsAUONHQOf9AGsWiQOMDNLbjyTbNnYk1ZsPHPb4cQenmPmBgzHkhnY+BKwW3OA/4DkwzZmoD9yzKR5tx1I7JHIYZNgYDvAwMaDXYc80JafD9vqDdj435j/5p1Tl9gj/wao5R9uLQYHmNkkN7YdNuCRyDFj5m1gBtrCwybB2IZbiyFQi+XMtuMGEhLPiqV5jh027jmTZiaR2JfMg0uLHNBhN3vbqg3k+5M3fuapqZNtbz/8TOLDNzs5+R7sWhjkH2ATTQDHzygYBaNgFIwCcgEAraVR7XoTj6IAAAAASUVORK5CYII=","orcid":"","institution":"Shiraz University of Technology","correspondingAuthor":true,"prefix":"","firstName":"A.Reza","middleName":"","lastName":"Fakharzadeh","suffix":""},{"id":299215411,"identity":"0c4dc16b-3e3a-4bff-9609-cad4feafb0c8","order_by":1,"name":"Hassan Rostamzadeh","email":"","orcid":"","institution":"Shiraz University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hassan","middleName":"","lastName":"Rostamzadeh","suffix":""}],"badges":[],"createdAt":"2024-05-01 08:29:54","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4353208/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4353208/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":79116355,"identity":"3c3fb5a6-a67c-48ac-9a13-3aeb5700c296","added_by":"auto","created_at":"2025-03-24 15:09:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":463778,"visible":true,"origin":"","legend":"","description":"","filename":"paper.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4353208/v1_covered_41ddc2ca-7931-4c73-bb16-c8af271a15b0.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"New non-radial models for horizontal and acquisition merger to achieve strong efficiency and MPSS without changing in the efficient frontier","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Merger, Acquisition, The most productive scale size, The strongly efficient unit, The efficient frontier, Non-radial","lastPublishedDoi":"10.21203/rs.3.rs-4353208/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4353208/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this study, new models for the merger of two or more inefficient units are presented. 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