Fair division of infinitely divisible goods
Loading...
Journal Title
Journal ISSN
Volume Title
School of Business |
Bachelor's thesis
Unless otherwise stated, all rights belong to the author. You may download, display and print this publication for Your own personal use. Commercial use is prohibited.
Author
Date
2020
Department
Major/Subject
Mcode
Degree programme
Taloustiede
Language
en
Pages
23
Series
Abstract
In 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.Description
Thesis advisor
Murto, PauliMustonen, Mikko
Keywords
economics, fair division, measure theory, cake cutting
