n-person single games and n-component reliability structures

dc.contributor.author Park, Byung
dc.contributor.department Statistics
dc.date 2018-08-15T15:43:39.000
dc.date.accessioned 2020-07-02T06:03:19Z
dc.date.available 2020-07-02T06:03:19Z
dc.date.copyright Tue Jan 01 00:00:00 UTC 1985
dc.date.issued 1985
dc.description.abstract <p>Characteristic functions of "(0,1) n-person simple games" and structure functions of "n-component reliability structure system" are studied as "diadic functions". The latter function may belong to a number of categories, which are characterized and interrelated. These categories include the class of Bolean diadic functions, monotone diadic functions, super-additive diadic functions, sub-additive diadic functions, and inessential diadic functions. It is helpful in this connection to introduce certain concepts and constructs new to both games and systems, and to interpret certain concepts in terms of the area other than that of their origin. Additional constructs are reexamined in the context of the entire domain of diadic functions. Among the latter are certain "generating vectors" and "veto vectors", for which appropriate generating algorithms are introduced;The "Shapley form of an n-person game" is studied over the entire domain of diadic functions, and a version of the Shapley form for monotone diadic functions, based on generating vectors, is shown to be equivalence to the "minimal path representation" of system theory. Further, the uniqueness of the "Shapley value", is considered for diadic and more general functions. To this end, a set of revised "Shapley axioms" are introduced. Finally, several methods for expressing and relating characteristics or structure functions are surveyed, as well as several indices for measuring the importance of a player or a component. Here, again, the theme is maintained, of interpreting a given index in terms of the area other than that of its origin.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/7876/
dc.identifier.articleid 8875
dc.identifier.contextkey 6323926
dc.identifier.doi https://doi.org/10.31274/rtd-180813-5260
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/7876
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/80801
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/7876/r_8514428.pdf|||Sat Jan 15 01:55:09 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Statistics
dc.subject.keywords Statistics (Applied statistics)
dc.subject.keywords Applied statistics
dc.title n-person single games and n-component reliability structures
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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