Marginality and the position value
| dc.contributor.author | Manuel García, Conrado Miguel | |
| dc.contributor.author | Ortega Castelló, Eduardo | |
| dc.contributor.author | Pozo, M. del | |
| dc.date.accessioned | 2023-06-22T12:27:59Z | |
| dc.date.available | 2023-06-22T12:27:59Z | |
| dc.date.issued | 2022-10-08 | |
| dc.description | CRUE-CSIC (Acuerdos Transformativos 2022) | |
| dc.description.abstract | We present a new characterization of the position value, one of the most prominent allocation rules for communication situations (graph-games or games with restricted communication). This characterization includes the PL-marginality property, an extension for communications situations of the classic marginality for TU-games, as well as component efficiency and balanced link contributions for necessary players. | |
| dc.description.department | Depto. de Estadística y Ciencia de los Datos | |
| dc.description.faculty | Fac. de Estudios Estadísticos | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/75368 | |
| dc.identifier.doi | 10.1007/s11750-022-00647-z | |
| dc.identifier.issn | 1134-5764 | |
| dc.identifier.officialurl | https://doi.org/10.1007/s11750-022-00647-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/72577 | |
| dc.journal.title | TOP | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.rights | Atribución-CompartirIgual 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/3.0/es/ | |
| dc.subject.cdu | 519.83 | |
| dc.subject.keyword | Game theory | |
| dc.subject.keyword | TU-game | |
| dc.subject.keyword | Communication situations | |
| dc.subject.keyword | Position value | |
| dc.subject.keyword | Marginality | |
| dc.subject.keyword | PL-marginality | |
| dc.subject.ucm | Estadística | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | Marginality and the position value | |
| dc.type | journal article | |
| dcterms.references | Algaba E, Bilbao J, Borm P, López JJ (2000) The position value for union stable systems. Math Methods Oper Res 52:221–236 Algaba E, Bilbao J, van den Brink R (2015) Harsanyi power solutions for games on union stable systems. Ann Oper Res 225:27–44 Béal S, Ferrières S, Remila E, Splal P (2016) Axiomatic characterizations under players nullification. Math Soc Sci 80:47–57 Borkotokey S, Chakrabarti S, Gilles RP, Gogoi L, Kumar R (2020) Probabilistic Network Values. QMS Research Paper 2020/08, Available at SSRN: https://ssrn.com/abstract=3692371 Borm P, Owen G, Tijs S (1992) On the position value for communication situations. SIAM J Discrete Math 5(3):305–322 van den Brink R, van der Laan G, Pruzhansky V (2011) Harsanyi power solution for graph restricted games. Int J Game Theory 40:87–110 van den Brink R, Gilles RP (1996) Axiomatizations of the conjunctive permission value for games with permission structures. Games Econ Behav 12:113–126 Casajus A (2007) The position value is the Myerson value, in a sense. Internat J Game Theory 36:47–55 Casajus A (2011) Differential marginality, van den Brink fairness and the Shapley value. Theor Decis 71:163–174 Casajus A (2011) Marginality, differential marginality and the Banzhaf value. Theor Decis 71:365–372 Casajus A, Yokote K (2017) Weak differential marginality and the Shapley value. J Econ Theory 176:274–284 Chun Y (1989) A new axiomatization of the Shapley value. Games Econ Behav 1:119–130 de Clippel G, Serrano R (2008) Marginal contributions and externalities in the value. Econometrica 76:1413–1436 Fernández JR, Gallego I, Jiménez-Losada A, Ordóñez M (2018) The cg-position value for games on fuzzy communication structures. Fuzzy Sets Syst 341:37–58 Ghintran A (2010) A weighted position value. Working Paper Series, 1008, Óbuda University, Keleti Faculty of Business and Management Ghintran A, González-Arangüena E, Manuel C (2012) A probabilistic position value. Ann Oper Res 201(1):183–196 Gómez D, González-Arangüena E, Manuel C, Owen G, del Pozo M, Tejada J (2003) Centrality and power in social networks: a game theoretic approach. Math Soc Sci 46:27–54 Gómez D, González-Arangüena E, Manuel C, Owen G, del Pozo M (2004) A unified approach to the Myerson value and the position value. Theor Decis 56:63–76 González-Arangüena E, Manuel C, Owen G, del Pozo M (2017) The within groups and the between groups Myerson values. Eur J Oper Res 257:586–600 | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication | d5fb7f69-b942-47ed-94c1-ae7b122a6757 | |
| relation.isAuthorOfPublication.latestForDiscovery | e6f9af3a-a3e1-497e-bf88-6c8535dcea8d |
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