dc.contributor.author | Hausken, Kjell | |
dc.date.accessioned | 2021-01-05T12:27:41Z | |
dc.date.available | 2021-01-05T12:27:41Z | |
dc.date.created | 2020-08-24T20:48:04Z | |
dc.date.issued | 2020-09 | |
dc.identifier.citation | Hausken, K. (2020) The Shapley value of coalitions to other coalitions. Humanities and Social Sciences Communications, 7 | en_US |
dc.identifier.issn | 2662-9992 | |
dc.identifier.uri | https://hdl.handle.net/11250/2721482 | |
dc.description.abstract | The Shapley value for an n-person game is decomposed into a 2n × 2n value matrix giving the value of every coalition to every other coalition. The cell ϕIJ(v, N) in the symmetric matrix is positive, zero, or negative, dependent on whether row coalition I is beneficial, neutral, or unbeneficial to column coalition J. This enables viewing the values of coalitions from multiple perspectives. The n × 1 Shapley vector, replicated in the bottom row and right column of the 2n × 2n matrix, follows from summing the elements in all columns or all rows in the n × n player value matrix replicated in the upper left part of the 2n × 2n matrix. A proposition is developed, illustrated with an example, revealing desirable matrix properties, and applicable for weighted Shapley values. For example, the Shapley value of a coalition to another coalition equals the sum of the Shapley values of each player in the first coalition to each player in the second coalition. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | game theory | en_US |
dc.subject | spillteori | en_US |
dc.subject | Shapley-verdi | en_US |
dc.title | The Shapley Value of Coalitions to Other Coalitions | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © The Author 2020 | en_US |
dc.source.volume | 7 | en_US |
dc.source.journal | Humanities & Social Sciences Communications | en_US |
dc.identifier.doi | 10.1057/s41599-020-00586-9 | |
dc.identifier.cristin | 1824899 | |
dc.source.articlenumber | 104 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |