Efficiency and fairness of resource utilisation under uncertainty: doctoral consortium
Efficiency and fairness of resource utilisation under uncertainty: doctoral consortium
The problem of multi-agent resource allocation is important and well-studied within AI and economics. The general assumption is that the amount of each resource is known beforehand. However, many real-world problems, the exact amount of each resource may not be known at the time of decision making, e,g. in the case of weather dependent renewable energy production. This work considers a homogeneous divisible resource where the available amount is given by a probability distribution. In general, a model for efficient usage under fairness and the possibilities of manipulation is studied. Firstly, the notion of ex-ante envy-freeness, where, in expectation, agents weakly prefer their allocation over every other agent's allocation is introduced. For this case the tension between fairness and social welfare is considered. The price of envy-freeness is at least $\Omega(n)$, where $n$ is the number of agents and the problem of optimising ex-ante social welfare subject to ex-ante envy-freeness is strongly NP-hard. Additionally, the possibility for an integer program to calculate the optimal ex-ante envy-free allocation for linear satiable valuation functions is presented.
Fair allocation, Social choice theory, Auctions and mechanism design
Burmann, Jan
46ae30cc-34e3-4a39-8b11-4cbb413e615f
14 May 2020
Burmann, Jan
46ae30cc-34e3-4a39-8b11-4cbb413e615f
Burmann, Jan
(2020)
Efficiency and fairness of resource utilisation under uncertainty: doctoral consortium.
Nineteenth International Conference on Autonomous Agents and Multi-Agent Systems, Auckland, New Zealand, Auckland, New Zealand.
09 - 13 May 2020.
3 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
The problem of multi-agent resource allocation is important and well-studied within AI and economics. The general assumption is that the amount of each resource is known beforehand. However, many real-world problems, the exact amount of each resource may not be known at the time of decision making, e,g. in the case of weather dependent renewable energy production. This work considers a homogeneous divisible resource where the available amount is given by a probability distribution. In general, a model for efficient usage under fairness and the possibilities of manipulation is studied. Firstly, the notion of ex-ante envy-freeness, where, in expectation, agents weakly prefer their allocation over every other agent's allocation is introduced. For this case the tension between fairness and social welfare is considered. The price of envy-freeness is at least $\Omega(n)$, where $n$ is the number of agents and the problem of optimising ex-ante social welfare subject to ex-ante envy-freeness is strongly NP-hard. Additionally, the possibility for an integer program to calculate the optimal ex-ante envy-free allocation for linear satiable valuation functions is presented.
Text
Efficiency_and_Fairness_of_Resource_Utilisation_under_Uncertainty
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Accepted/In Press date: 18 February 2020
Published date: 14 May 2020
Venue - Dates:
Nineteenth International Conference on Autonomous Agents and Multi-Agent Systems, Auckland, New Zealand, Auckland, New Zealand, 2020-05-09 - 2020-05-13
Keywords:
Fair allocation, Social choice theory, Auctions and mechanism design
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Local EPrints ID: 439156
URI: http://eprints.soton.ac.uk/id/eprint/439156
PURE UUID: 09b129e5-e3a9-4b82-a13e-df8d445b2e71
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Date deposited: 06 Apr 2020 16:30
Last modified: 10 Apr 2024 04:06
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Author:
Jan Burmann
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