Fair division of infinitely divisible goods
dc.contributor | Aalto University | en |
dc.contributor | Aalto-yliopisto | fi |
dc.contributor.advisor | Murto, Pauli | |
dc.contributor.advisor | Mustonen, Mikko | |
dc.contributor.author | Himanka, Tuukka | |
dc.contributor.department | Taloustieteen laitos | fi |
dc.contributor.school | Kauppakorkeakoulu | fi |
dc.contributor.school | School of Business | en |
dc.date.accessioned | 2020-09-27T16:04:59Z | |
dc.date.available | 2020-09-27T16:04:59Z | |
dc.date.issued | 2020 | |
dc.description.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. | en |
dc.format.extent | 23 | |
dc.format.mimetype | application/pdf | en |
dc.identifier.uri | https://aaltodoc.aalto.fi/handle/123456789/46683 | |
dc.identifier.urn | URN:NBN:fi:aalto-202009275608 | |
dc.language.iso | en | en |
dc.programme | Taloustiede | en |
dc.subject.keyword | economics | en |
dc.subject.keyword | fair division | en |
dc.subject.keyword | measure theory | en |
dc.subject.keyword | cake cutting | en |
dc.title | Fair division of infinitely divisible goods | en |
dc.type | G1 Kandidaatintyö | fi |
dc.type.ontasot | Bachelor's thesis | en |
dc.type.ontasot | Kandidaatintyö | fi |
Files
Original bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- bachelor_Himanka_Tuukka_2020.pdf
- Size:
- 386.52 KB
- Format:
- Adobe Portable Document Format