Continuity concepts for set valued mappings with applications in Game Theory

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dc.contributor.advisorBoros, Zoltán
dc.contributor.authorOtieno, Vanessa Achieng
dc.contributor.departmentDE--Természettudományi és Technológiai Kar--Matematikai Intézet
dc.date.accessioned2025-06-20T07:12:23Z
dc.date.available2025-06-20T07:12:23Z
dc.date.created2025-04-30
dc.description.abstractThe main idea of this thesis is to demonstrate the connections of various semi-continuity properties to each other as well as to present that one can involve such results into game theory in a natural way. We investigate upper hemi-continuous set valued mappings in order to obtain selection and fixed point theorems. We apply Kakutani's fixed point theorem to the best response mapping of a concave game in order to obtain a general existence theorem in game theory. Specific pairs of interval valued mappings with semi-continuous limits are investigated as well.
dc.description.courseApplied Mathematics
dc.description.degreeMSc/MA
dc.format.extent39
dc.identifier.urihttps://hdl.handle.net/2437/393968
dc.language.isoen
dc.rights.infoHozzáférhető a 2022 decemberi felsőoktatási törvénymódosítás értelmében.
dc.subjectstrategic games
dc.subjectNash Equilibrium
dc.subjectbest response
dc.subjectconcave games
dc.subjectset-valued mappings
dc.subjectfixed point theorem
dc.subjectsemi-continuous functions
dc.subject.dspaceMathematics::Mathematical Analysis
dc.titleContinuity concepts for set valued mappings with applications in Game Theory
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