{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:45:11Z","timestamp":1760237111368,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,3,1]],"date-time":"2020-03-01T00:00:00Z","timestamp":1583020800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["17KK0055","17H02044","18H03498","19H02376"],"award-info":[{"award-number":["17KK0055","17H02044","18H03498","19H02376"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>Although exploring the principles of resource allocation is still important in many fields, little is known about appropriate methods for optimal resource allocation thus far. This is because we should consider many issues including opposing interests between many types of stakeholders. Here, we develop a new allocation method to resolve budget conflicts. To do so, we consider two points\u2014minimizing assessment costs and satisfying allocational efficiency. In our method, an evaluator\u2019s assessment is restricted to one\u2019s own projects in one\u2019s own department, and both an executive\u2019s and mid-level executives\u2019 assessments are also restricted to each representative project in each branch or department they manage. At the same time, we develop a calculation method to integrate such assessments by using a multi-branch tree structure, where a set of leaf nodes represents projects and a set of non-leaf nodes represents either directors or executives. Our method is incentive-compatible because no director has any incentive to make fallacious assessments.<\/jats:p>","DOI":"10.3390\/a13030055","type":"journal-article","created":{"date-parts":[[2020,3,2]],"date-time":"2020-03-02T04:16:16Z","timestamp":1583122576000},"page":"55","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Model of Multi-branch Trees for Efficient Resource Allocation"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4932-990X","authenticated-orcid":false,"given":"Natsumi","family":"Oyamaguchi","sequence":"first","affiliation":[{"name":"Faculty of Teacher Education, Shumei University, Chiba 276-0003, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3817-4455","authenticated-orcid":false,"given":"Hiroyuki","family":"Tajima","sequence":"additional","affiliation":[{"name":"Faculty of Tourism and Business Management, Shumei University, Chiba 276-0003, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9943-2668","authenticated-orcid":false,"given":"Isamu","family":"Okada","sequence":"additional","affiliation":[{"name":"Faculty of Business Administration, Soka University, Tokyo 192-8577, Japan"},{"name":"Department of Information Systems and Operations, Vienna University of Economics, 1020 Wien, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,3,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1002\/smj.4250141004","article-title":"Strategic Management and Financial Markets","volume":"14","author":"Allen","year":"1993","journal-title":"Strat. 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(1980). The Analytic Hierarchy Process, McGraw-Hill.","DOI":"10.21236\/ADA214804"},{"key":"ref_28","first-page":"59","article-title":"A Ternary Diagram and Pairwise Comparisons in AHP","volume":"4","author":"Mizuno","year":"2015","journal-title":"J. Jpn. Symp. 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