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On ordinal equivalence of the Shapley and Banzhaf values for cooperative games
dc.contributor.author | Freixas Bosch, Josep |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-09-29T15:31:33Z |
dc.date.available | 2010-09-29T15:31:33Z |
dc.date.created | 2010-09 |
dc.date.issued | 2010-09 |
dc.identifier.citation | Freixas, J. On ordinal equivalence of the Shapley and Banzhaf values for cooperative games. "International journal of game theory", Setembre 2010, vol. 39, núm. 4, p. 513-527. |
dc.identifier.issn | 0020-7276 |
dc.identifier.uri | http://hdl.handle.net/2117/9171 |
dc.description.abstract | In this paper I consider the ordinal equivalence of the Shapley and Banzhaf values for TU cooperative games, i.e., cooperative games for which the preorderings on the set of players induced by these two values coincide. To this end I consider several solution concepts within semivalues and introduce three subclasses of games which are called respectively: weakly complete, semicoherent and coherent cooperative games. A characterization theorem in terms of the ordinal equivalence of some semivalues is given for each of these three classes of cooperative games. In particular, the Shapley and Banzhaf values as well as the segment of semivalues they limit are ordinally equivalent for weakly complete, semicoherent and coherent cooperative games. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
dc.subject.lcsh | Game theory |
dc.title | On ordinal equivalence of the Shapley and Banzhaf values for cooperative games |
dc.type | Article |
dc.subject.lemac | Jocs, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
dc.identifier.doi | 10.1007/s00182-009-0179-0 |
dc.subject.ams | Classificació AMS::91 Game theory, economics, social and behavioral sciences |
dc.rights.access | Restricted access - author's decision |
local.identifier.drac | 2960782 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Freixas, J. |
local.citation.publicationName | International journal of game theory |
local.citation.volume | 39 |
local.citation.number | 4 |
local.citation.startingPage | 513 |
local.citation.endingPage | 527 |
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