Optimal Utility Design of Greedy Algorithms in Resource Allocation Games

Designing fast, distributed algorithms for multiagent problems is vital for many novel application domains. Greedy algorithms have been shown in many multiagent contexts to be an efficient approach to arrive at good solutions quickly. In this work, we ask the following: Is there any way to improve t...

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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 69; no. 10; pp. 6592 - 6604
Main Authors: Konda, Rohit, Chandan, Rahul, Grimsman, David, Marden, Jason R.
Format: Journal Article
Language:English
Published: New York IEEE 01.10.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithm design
Algorithm design and theory
Algorithms
Design optimization
Distributed algorithms
distributed systems
Game theory
Greedy algorithms
Multiagent systems
optimization
Performance enhancement
Resource allocation
Resource management
Wireless communication
ISSN:0018-9286, 1558-2523
Online Access:Get full text
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Summary:Designing fast, distributed algorithms for multiagent problems is vital for many novel application domains. Greedy algorithms have been shown in many multiagent contexts to be an efficient approach to arrive at good solutions quickly. In this work, we ask the following: Is there any way to improve the performance of greedy algorithms without sacrificing the linear run-time guarantees? For this, we take inspiration from incentive design in the game-theoretic literature. In this work, we consider a modified version of the greedy algorithm where agents do not optimize against the global objective. Instead, each agent is prescribed an auxiliary utility function (which may differ from the original objective function) in which it optimizes under. By designing the utility functions properly, we show in this work that the resulting performance guarantees of the greedy algorithm can increase significantly. We study this approach in the context of resource-allocation games, which are used to model a rich variety of engineering applications. Interestingly, the performance guarantees from the modified greedy algorithm can be significantly close to the best centralized performance guarantees. The main technical contribution of the article is the characterization of the performance guarantees through a linear program construction.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2024.3375252