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Bayesian Proportional Resource Allocation Games

Author(s)
Tsitsiklis, John N.; Xu, Yunjian
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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Abstract
We consider a proportional allocation mechanism that gives to each user an amount of a resource proportional to the user's bid. We study a corresponding Bayesian game in which each user has incomplete information on the state or type of the other users. We prove the existence of a Bayes-Nash equilibrium. Furthermore, under some mild assumptions, we establish asymptotic efficiency: we show that the per user social welfare achieved at any Bayes-Nash equilibrium is asymptotically equal to the maximum possible.
Date issued
2011-02
URI
http://hdl.handle.net/1721.1/73147
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Proceedings of the 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2010
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Tsitsiklis, John N. and Yunjian Nu. "Bayesian Proportional Resource Allocation Games." Proceedings of the IEEE 2010 Annual Allerton Conference on Communication, Control, and Computing: 1556-1561. © 2010 IEEE.
Version: Final published version
ISBN
978-1-4244-8215-3

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