Fair division of infinitely divisible goods

dc.contributorAalto Universityen
dc.contributorAalto-yliopistofi
dc.contributor.advisorMurto, Pauli
dc.contributor.advisorMustonen, Mikko
dc.contributor.authorHimanka, Tuukka
dc.contributor.departmentTaloustieteen laitosfi
dc.contributor.schoolKauppakorkeakoulufi
dc.contributor.schoolSchool of Businessen
dc.date.accessioned2020-09-27T16:04:59Z
dc.date.available2020-09-27T16:04:59Z
dc.date.issued2020
dc.description.abstractIn my thesis, I examine the theory of fair division of infinitely divisible heterogenous goods from measure theoretic context. I present the main existence theorems of divisions, give graphical representations of division and give an introduction to the algorithmic literature in the area. To present the results, I first define the formal measure theoretic model used in the literature and discuss the concept of fairness. I present the existence theorems of Weller and Dubins and Spanier that give results for the existence of a number of different divisions. With the existence theorems I also discuss the limitations of the model, and look into the impact of some assumptions of the formal model concerning the existence theorems. I present two different geometrical interpretations that can be used to understand and find fair allocations, and in the final part, I consider three algorithms to achieve a fair division.en
dc.format.extent23
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/46683
dc.identifier.urnURN:NBN:fi:aalto-202009275608
dc.language.isoenen
dc.programmeTaloustiedeen
dc.subject.keywordeconomicsen
dc.subject.keywordfair divisionen
dc.subject.keywordmeasure theoryen
dc.subject.keywordcake cuttingen
dc.titleFair division of infinitely divisible goodsen
dc.typeG1 Kandidaatintyöfi
dc.type.ontasotBachelor's thesisen
dc.type.ontasotKandidaatintyöfi
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