Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players
We consider the allocation of a finite number of homogeneous divisible items among three players. Under the assumption that each player assigns a positive value to every item, we develop a simple algorithm that returns a Pareto optimal and equitable allocation. This is based on the tight relationshi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wrocław University of Science and Technology
2017-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1330 |
| _version_ | 1811215242261168128 |
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| author | Marco Dall'Aglio Camilla Di Luca Lucia Milone |
| author_facet | Marco Dall'Aglio Camilla Di Luca Lucia Milone |
| author_sort | Marco Dall'Aglio |
| collection | DOAJ |
| description | We consider the allocation of a finite number of homogeneous divisible items among three players. Under the assumption that each player assigns a positive value to every item, we develop a simple algorithm that returns a Pareto optimal and equitable allocation. This is based on the tight relationship between two geometric objects of fair division: The Individual Pieces Set (IPS) and the Radon-Nykodim Set (RNS). The algorithm can be considered as an extension of the Adjusted Winner procedure by Brams and Taylor to the three-player case, without the guarantee of envy-freeness. (original abstract) |
| first_indexed | 2024-04-12T06:18:03Z |
| format | Article |
| id | doaj.art-685a08aa8a8e407d865285a581c67367 |
| institution | Directory Open Access Journal |
| issn | 2081-8858 2391-6060 |
| language | English |
| last_indexed | 2024-04-12T06:18:03Z |
| publishDate | 2017-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj.art-685a08aa8a8e407d865285a581c673672022-12-22T03:44:23ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602017-01-01vol. 27no. 33550171491018Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three PlayersMarco Dall'Aglio0Camilla Di Luca1Lucia Milone2LUISS University, ItalyLUISS University, ItalyLUISS University, ItalyWe consider the allocation of a finite number of homogeneous divisible items among three players. Under the assumption that each player assigns a positive value to every item, we develop a simple algorithm that returns a Pareto optimal and equitable allocation. This is based on the tight relationship between two geometric objects of fair division: The Individual Pieces Set (IPS) and the Radon-Nykodim Set (RNS). The algorithm can be considered as an extension of the Adjusted Winner procedure by Brams and Taylor to the three-player case, without the guarantee of envy-freeness. (original abstract)http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1330 |
| spellingShingle | Marco Dall'Aglio Camilla Di Luca Lucia Milone Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players Operations Research and Decisions |
| title | Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players |
| title_full | Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players |
| title_fullStr | Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players |
| title_full_unstemmed | Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players |
| title_short | Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players |
| title_sort | finding the pareto optimal equitable allocation of homogeneous divisible goods among three players |
| url | http://orduser.pwr.wroc.pl/DownloadFile.aspx?aid=1330 |
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