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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence / EAAI-20

Fair Knapsack

February 1, 2023

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Authors

Till Fluschnik

TU Berlin


Piotr Skowron

University of Warsaw


Mervin Triphaus

TU Berlin


Kai Wilker

TU Berlin


DOI:

10.1609/aaai.v33i01.33011941


Abstract:

We study the following multiagent variant of the knapsack problem. We are given a set of items, a set of voters, and a value of the budget; each item is endowed with a cost and each voter assigns to each item a certain value. The goal is to select a subset of items with the total cost not exceeding the budget, in a way that is consistent with the voters’ preferences. Since the preferences of the voters over the items can vary significantly, we need a way of aggregating these preferences, in order to select the socially best valid knapsack. We study three approaches to aggregating voters’ preferences, which are motivated by the literature on multiwinner elections and fair allocation. This way we introduce the concepts of individually best, diverse, and fair knapsack. We study the computational complexity (including parameterized complexity, and complexity under restricted domains) of the aforementioned multiagent variants of knapsack.

Topics: AAAI

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HOW TO CITE:

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker Fair Knapsack Proceedings of the AAAI Conference on Artificial Intelligence (2019) 1941-1948.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker Fair Knapsack AAAI 2019, 1941-1948.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker (2019). Fair Knapsack. Proceedings of the AAAI Conference on Artificial Intelligence, 1941-1948.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker. Fair Knapsack. Proceedings of the AAAI Conference on Artificial Intelligence 2019 p.1941-1948.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker. 2019. Fair Knapsack. "Proceedings of the AAAI Conference on Artificial Intelligence". 1941-1948.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker. (2019) "Fair Knapsack", Proceedings of the AAAI Conference on Artificial Intelligence, p.1941-1948

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker, "Fair Knapsack", AAAI, p.1941-1948, 2019.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker. "Fair Knapsack". Proceedings of the AAAI Conference on Artificial Intelligence, 2019, p.1941-1948.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker. "Fair Knapsack". Proceedings of the AAAI Conference on Artificial Intelligence, (2019): 1941-1948.

Till Fluschnik||Piotr Skowron||Mervin Triphaus||Kai Wilker. Fair Knapsack. AAAI[Internet]. 2019[cited 2023]; 1941-1948.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
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