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Efficient contention resolution protocols for selfish agents

Published: 07 January 2007 Publication History

Abstract

We seek to understand behavior of selfish agents accessing a broadcast channel. In particular, we consider the natural agent utility where costs are proportional to delay. Access to the channel is modelled as a game in extensive form with simultaneous play.
Standard protocols such as Aloha are vulnerable to manipulation by selfish agents. We show that choosing appropriate transmission probabilities for Aloha to achieve equilibrium implies exponentially long delays. We give a very simple protocol for the agents that is in Nash equilibrium and is also very efficient --- other than with exponentially negligible probability --- all n agents will successfully transmit within cn time, for some small constant c.

References

[1]
Eitan Altman, Rachid El Azouzi, and Tania Jiménez. Slotted aloha as a game with partial information. Computer Networks, 45(6):701--713, 2004.
[2]
Eitan Altman, Dhiman Barman, Rachid El Azouzi, and Tania Jiménez. A game theoretic approach for delay minimization in slotted aloha.
[3]
Feigenbaum and Shenker. Distributed algorithmic mechanism design: Recent results and future directions. BEATCS: Bulletin of the European Association for Theoretical Computer Science, 79, 2003.
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J. Feigenbaum, C. Papadimitriou, R. B. Sami, and S. Shenker. A bgp-based mechanism for lowest-cost routing, 2002.
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Elias Koutsoupias and Christos Papadimitriou. Worst-case equilibria. Lecture Notes in Computer Science, 1563:404--413, 1999.
[6]
Allen MacKenzie and Stephen B. Wicker. Stability of multipacket slotted aloha with selfish users and perfect information. In INFOCOM, 2003.
[7]
Martin J. Osborne and Ariel Rubenstein. A Course in Game Theory. The MIT Press, Cambridge, Massachusetts, 1994.
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Martin L. Puterman. Markov Decision Processes: Discrete Stochastic Dynamic Programming. John Wiley & Sons, Inc., New York, NY, USA, 1994.
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Raphael Rom and Moshe Sidi. Multiple access protocols: performance and analysis. Springer-Verlag New York, Inc., New York, NY, USA, 1990.
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Tim Roughgarden. Selfish Routing And The Price Of Anarchy. The MIT Press, Cambridge, Massachusetts, 2005.

Cited By

View all
  • (2023)Combinatorial group testing with selfish agentsProceedings of the 37th International Conference on Neural Information Processing Systems10.5555/3666122.3667571(33352-33364)Online publication date: 10-Dec-2023
  • (2023)Adversarial contention resolution gamesProceedings of the Thirty-Second International Joint Conference on Artificial Intelligence10.24963/ijcai.2023/289(2598-2606)Online publication date: 19-Aug-2023
  • (2012)Contention issues in congestion gamesProceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II10.1007/978-3-642-31585-5_55(623-635)Online publication date: 9-Jul-2012
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    Published In

    cover image ACM Conferences
    SODA '07: Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
    January 2007
    1322 pages
    ISBN:9780898716245
    • Conference Chair:
    • Harold Gabow

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    Society for Industrial and Applied Mathematics

    United States

    Publication History

    Published: 07 January 2007

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    SODA '07 Paper Acceptance Rate 139 of 382 submissions, 36%;
    Overall Acceptance Rate 411 of 1,322 submissions, 31%

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    View all
    • (2023)Combinatorial group testing with selfish agentsProceedings of the 37th International Conference on Neural Information Processing Systems10.5555/3666122.3667571(33352-33364)Online publication date: 10-Dec-2023
    • (2023)Adversarial contention resolution gamesProceedings of the Thirty-Second International Joint Conference on Artificial Intelligence10.24963/ijcai.2023/289(2598-2606)Online publication date: 19-Aug-2023
    • (2012)Contention issues in congestion gamesProceedings of the 39th international colloquium conference on Automata, Languages, and Programming - Volume Part II10.1007/978-3-642-31585-5_55(623-635)Online publication date: 9-Jul-2012
    • (2010)Contention resolution under selfishnessProceedings of the 37th international colloquium conference on Automata, languages and programming: Part II10.5555/1880999.1881046(430-441)Online publication date: 6-Jul-2010
    • (2008)Reservation-based distributed medium access in wireless collision channelsProceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools10.4108/ICST.VALUETOOLS2008.4475(1-8)Online publication date: 20-Oct-2008

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