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dc.contributor.advisorMontgomery-Smith, Stepheneng
dc.contributor.authorClark, Jacob Northeng
dc.date.issued2019eng
dc.date.submitted2019 Springeng
dc.description.abstractFollowing the work of Shapley on the Shapley value [16], and further work of Owen [14], we offer an alternative formulation of and path to and through the work of Weber in his paper on efficient but not symmetric cooperative games [21]. We accomplish this by offering alternative conditions to replace the standard axiomatic assumptions. This is accomplished by introducing conditions, "reasonableness" and "efficiency" on the output of the games themselves, and using this to find properties of the linear maps that describe the games themselves. This results in a special class of linear maps for which any other "reasonable, efficient" map can be written as a convex combination of special ones.eng
dc.description.bibrefIncludes bibliographical referenceseng
dc.format.extentviii, 86 pages : illustrationeng
dc.identifier.urihttps://hdl.handle.net/10355/69938
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.titleShapley-like values without symmetryeng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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