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dc.contributor.advisorTorrance, Charles C.
dc.contributor.authorHall, John Vine
dc.date1962
dc.date.accessioned2012-08-29T23:31:41Z
dc.date.available2012-08-29T23:31:41Z
dc.date.issued1962
dc.identifier.urihttp://hdl.handle.net/10945/12236
dc.descriptionApproved for public release; distribution is unlimited
dc.description.abstractA brief resume of the role of linear utility functions in Game Theory is given. The point is made that, in practical applications, a knowledge of these functions is usually not available, and hence much of the rationale of the game theoretic approach to competitive problems is lost. The random character of the "real" payoff of a matrix game is then discussed, and the probability distribution function of the payoff is derived. The dependence of this distribution function upon the mixed strategies of the players is shown. Criteria are developed to provide definition of "optimal mixed strategy" in terms of the effect on the distribution function. The mathematical formulation of the solution is given for each criterion discussed. The reader will require knowledge of the elements of Probability Theory, Game Theory, Utility Theory, and Linear Programming.
dc.description.urihttp://www.archive.org/details/formulationsolut00hall
dc.language.isoen_US
dc.publisherMonterey, California: U.S. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
dc.titleFormulation and solution of matrix games without utility functionsen_US
dc.typeThesisen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.contributor.departmentOperations Research
dc.description.serviceLieutenant, United States Navy
etd.thesisdegree.nameM.S.en_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplineOperations Research
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US


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