{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T18:04:44Z","timestamp":1777572284282,"version":"3.51.4"},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,10,20]],"date-time":"2021-10-20T00:00:00Z","timestamp":1634688000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2021,10,20]],"date-time":"2021-10-20T00:00:00Z","timestamp":1634688000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100004593","name":"Universidad Aut\u00f3noma de Madrid","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100004593","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cent Eur J Oper Res"],"published-print":{"date-parts":[[2022,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Standard approaches to model interaction networks are limited in their capacity to describe the nuances of real communication. We present a game theoretical framework to quantify the effect of intermediaries on the interaction between agents. Inspired by the seminal work Myerson (1977). on cooperative structures in cooperative games, we set the basis for multidimensional network analysis within game theory. More specifically, an extension of the point-arc game Feltkamp and van den Nouwe51 land (1992). is introduced, generalizing the analysis of cooperative games to multigraphs. An efficient algorithm is proposed for the computation of Shapley value of this game. We prove the validity of our approach by applying it to a intermediaries network model. We are able to recover meaningful results on the dependence of the game outcome on the intermediaries network. This work contributes to the optimal design of networks in economic environments and allows the ranking of players in complex networks.<\/jats:p>","DOI":"10.1007\/s10100-021-00781-2","type":"journal-article","created":{"date-parts":[[2021,10,20]],"date-time":"2021-10-20T14:29:57Z","timestamp":1634740197000},"page":"837-859","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The impact of intermediaries on a negotiation: an approach from game theory"],"prefix":"10.1007","volume":"30","author":[{"given":"Susana","family":"L\u00f3pez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guillermo","family":"Owen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0994-6797","authenticated-orcid":false,"given":"Martha","family":"Saboya","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,10,20]]},"reference":[{"key":"781_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2","volume-title":"Graph theory with applications","author":"JA Bondy","year":"1976","unstructured":"Bondy JA, Murty USR (1976) Graph theory with applications. The Macmillan Press Ltd., London"},{"key":"781_CR2","doi-asserted-by":"crossref","unstructured":"Borm P, van den Nouweland A, Tijs S (1994) Cooperation and communication restrictions: a survey. In: Gilles RP, Ruys PHM (eds) Imperfections and behavior in economic organizations. Theory and Decision Library (Series C: Game Theory, Mathematical Programming and Operations Research), vol 11. Springer, Dordrecht, pp 195\u2013227","DOI":"10.1007\/978-94-011-1370-0_9"},{"key":"781_CR3","first-page":"199","volume":"34","author":"V Feltkamp","year":"1992","unstructured":"Feltkamp V, van den Nouweland A (1992) Controlled communication networks. Cahiers du CERO 34:199\u2013210","journal-title":"Controlled communication networks. Cahiers du CERO"},{"key":"781_CR4","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1016\/S0165-4896(03)00028-3","volume":"46","author":"D G\u00f3mez","year":"2003","unstructured":"G\u00f3mez D, Gonz\u00e1lez-Arang\u00fcena E, Manuel C, Owen G, del Pozo M, Tejada J (2003) Centrality and power in social networks: a game theoretic approach. Math Soc Sci 46:27\u201354","journal-title":"Math Soc Sci"},{"key":"781_CR5","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1287\/moor.2.3.225","volume":"2","author":"R Myerson","year":"1977","unstructured":"Myerson R (1977) Graphs and cooperation in games. Math Oper Res 2:225\u2013229","journal-title":"Math Oper Res"},{"key":"781_CR6","doi-asserted-by":"crossref","unstructured":"Owen G (1972) Multilinear extensions of games. Manag Sci 64\u201379","DOI":"10.1287\/mnsc.18.5.64"},{"key":"781_CR7","volume-title":"Game theory","author":"G Owen","year":"1995","unstructured":"Owen G (1995) Game theory, III. Academic Press, San Diego","edition":"III"},{"key":"781_CR8","doi-asserted-by":"crossref","unstructured":"Shapley LS (1953) A value for $$n$$-Person games. In: Kuhn H, Tucker A (eds) Annals of Mathematical Studies 28, Contributions to the Theory of Games II, pp 307\u2013317","DOI":"10.1515\/9781400881970-018"}],"container-title":["Central European Journal of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10100-021-00781-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10100-021-00781-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10100-021-00781-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,26]],"date-time":"2022-05-26T17:32:50Z","timestamp":1653586370000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10100-021-00781-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,20]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["781"],"URL":"https:\/\/doi.org\/10.1007\/s10100-021-00781-2","relation":{},"ISSN":["1435-246X","1613-9178"],"issn-type":[{"value":"1435-246X","type":"print"},{"value":"1613-9178","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,20]]},"assertion":[{"value":"15 September 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 October 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}